Model theorists have been studying analytic functions since the late 1970s. Highlights include the seminal work of Denef and van den Dries on the theory of the p-adics with restricted analytic functions, Wilkie's proof of o-minimality of the theory of the reals with the exponential function, and the formulation of Zilber's conjecture for the complex exponential. My goal in this talk is to survey these main developments and to reflect on today's open problems, in particular for (...) theories of valued fields. (shrink)

Recent years have seen an increasing interest in the study of continuous-time computational models. However, not so much has been done with respect to setting up a complexity theoretic framework for such models. The present paper intends to go a step into this direction. We consider problems over the real numbers which we try to relate to Lyapunov theory for dynamical systems: The global minimizers of particular energy functions are supposed to give solutions of the problem. (...) The structure of such energy functions leads to the introduction of problem classes U and NU; for the systems we are considering they parallel the classical complexity classes P and NP. We then introduce a notion of reducibility among problems and show existence of complete problems for NU and for PU, a polynomial hierarchy of continuous-time problems.For previous work on the computational capabilities of continuous-time systems see the surveys by Cris Moore [9] and by Pekka Orponen [10]. Our paper presents a step into the direction of creating a general framework for a complexity theory of continuous-time systems as outlined in [10]. It is closely related to work done by A. Ben-Hur, H. Siegelmann, and S. Fishman [12, 11]. (shrink)

We present a model of computation for string functions over single-sorted, total algebraic structures and study some basic features of a general theory of computability within this framework. Our concept generalizes the Blum-Shub-Smale setting of computability over the reals and other rings. By dealing with strings of arbitrary length instead of tuples of fixed length, some suppositions of deeper results within former approaches to generalized recursion theory become superfluous. Moreover, this gives the basis for introducing computational (...) class='Hi'>complexity in a BSS-like manner. Relationships both to classical computability and to Friedman's concept of eds computability are established. Two kinds of nondeterminism as well as several variants of recognizability are investigated with respect to interdependencies on each other and on properties of the underlying structures. For structures of finite signatures, there are universal programs with the usual characteristics. For the general case of not necessarily finite signature, this subject will be studied in a separate, forthcoming paper. (shrink)

We study the computational complexity of finding a line that bisects simultaneously two sets in the two-dimensional plane, called the pancake problem, using the oracle Turing machine model of Ko. We also study the basic problem of bisecting a set at a given direction. Our main results are: (1) The complexity of bisecting a nice (thick) polynomial-time approximable set at a given direction can be characterized by the counting class #P. (2) The complexity of bisecting simultaneously two (...) linearly separable nice (thick) polynomial-time approximable sets can be characterized by the counting class #P. (3) For either of these two problems, without the thickness condition and the linear separability condition (for the two-set case), it is arbitrarily hard to compute the bisector, even if it is unique. (shrink)

Using Type‐2 theory of effectivity, we define computability notions on the spaces of Lebesgue‐integrable functions on the real line that are based on two natural approaches to integrability from measure theory. We show that Fourier transform and convolution on these spaces are computable operators with respect to these representations. By means of the orthonormal basis of Hermite functions in L2, we show the existence of a linear complexity bound for the Fourier transform. (© 2004 (...) WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim). (shrink)

The answer to the question 'what is money?' has changed throughout history. During the Gold Standard era, money was seen as gold or silver (the theory known as bullionism). In the early 20th century, the alternative theory known as chartalism proposed that money was a token chosen by the state for payment of taxes. Today, many economists take an agnostic line, and argue that money is best defined in terms of its function, e.g. as a neutral medium of (...) exchange. This paper argues that none of these approaches adequately describes the nature of money, and proposes a new theory, inspired by non-Newtonian physics, which takes into account the dualistic real/virtual properties and complex nature of money. The theory is applied to the example of the emergence of cybercurrencies. (shrink)

We show that the Turing degrees are not sufficient to measure the complexity of continuous functions on [0, 1]. Computability of continuous real functions is a standard notion from computable analysis. However, no satisfactory theory of degrees of continuous functions exists. We introduce the continuous degrees and prove that they are a proper extension of the Turing degrees and a proper substructure of the enumeration degrees. Call continuous degrees which are not Turing degrees non-total. (...) Several fundamental results are proved: a continuous function with non-total degree has no least degree representation, settling a question asked by Pour-El and Lempp; every non-computable f $\epsilon \mathcal{C}[0, 1]$ computes a non-computable subset of $\mathbb{N}$ ; there is a non-total degree between Turing degrees $a _\eqslantless_{\tau}$ b iff b is a PA degree relative to a; $\mathcal{S} \subseteq 2^{\mathbb{N}}$ is a Scott set iff it is the collection of f-computable subsets of $\mathbb{N}$ for some f $\epsilon \mathcal{C}[O, 1]$ of non-total degree; and there are computably incomparable f, g $\epsilon \mathcal{C}[0, 1]$ which compute exactly the same subsets of $\mathbb{N}$ . Proofs draw from classical analysis and constructive analysis as well as from computability theory. (shrink)

The study of Borel equivalence relations under Borel reducibility has developed into an important area of descriptive set theory. The dichotomies of Silver [20] and Harrington, Kechris and Louveau [6] show that with respect to Borel reducibility, any Borel equivalence relation strictly above equality on ω is above equality on , the power set of ω, and any Borel equivalence relation strictly above equality on the reals is above equality modulo finite on . In this article we examine the (...) effective content of these and related results by studying effectively Borel equivalence relations under effectively Borel reducibility. The resulting structure is complex, even for equivalence relations with finitely many equivalence classes. However use of Kleene’s O as a parameter is sufficient to restore the picture from the noneffective setting. A key lemma is that of the existence of two effectively Borel sets of reals, neither of which contains the range of the other under any effectively Borel function; the proof of this result applies Barwise compactness to a deep theorem of Harrington establishing for any recursive ordinal α the existence of singletons whose α-jumps are Turing incomparable. (shrink)

Evolutionary developmental systems theory stresses that selection pressures operate on entire developmental systems rather than just genes. This study extends this approach to language evolution, arguing that selection pressure may operate on two quasi-independent timescales. First, children clearly must acquire language successfully and evolution must equip them with the tools to do so. Second, while this is developing, they must also communicate with others in the moment using partially developed knowledge. These pressures may require different solutions, and their combination (...) may underlie the evolution of complex mechanisms for language development and processing. I present two case studies to illustrate how the demands of both real-time communication and language acquisition may be subtly different. The first case study examines infant-directed speech. A recent view is that IDS underwent cultural to statistical learning mechanisms that infants use to acquire the speech categories of their language. However, recent data suggest is it may not have evolved to enhance development, but rather to serve a more real-time communicative function. The second case study examines the argument for seemingly specialized mechanisms for learning word meanings. Both behavioral and computational work suggest that learning may be much slower and served by general-purpose mechanisms like associative learning. Fast-mapping, then, may be a real-time process meant to serve immediate communication, not learning, by augmenting incomplete vocabulary knowledge with constraints from the current context. Together, these studies suggest that evolutionary accounts consider selection pressure arising from both real-time communicative demands and from the need for accurate language development. (shrink)

There is no uniquely standard concept of an effectively decidable set of real numbers or real n-tuples. Here we consider three notions: decidability up to measure zero [M.W. Parker, Undecidability in Rn: Riddled basins, the KAM tori, and the stability of the solar system, Phil. Sci. 70(2) (2003) 359–382], which we abbreviate d.m.z.; recursive approximability [or r.a.; K.-I. Ko, Complexity Theory of Real Functions, Birkhäuser, Boston, 1991]; and decidability ignoring boundaries [d.i.b.; W.C. Myrvold, The (...) decision problem for entanglement, in: R.S. Cohen et al. (Eds.), Potentiality, Entanglement, and Passion-at-a-Distance: Quantum Mechanical Studies fo Abner Shimony, Vol. 2, Kluwer Academic Publishers, Great Britain, 1997, pp. 177–190]. Unlike some others in the literature, these notions apply not only to certain nice sets, but to general sets in Rn and other appropriate spaces. We consider some motivations for these concepts and the logical relations between them. It has been argued that d.m.z. is especially appropriate for physical applications, and on Rn with the standard measure, it is strictly stronger than r.a. [M.W. Parker, Undecidability in Rn: Riddled basins, the KAM tori, and the stability of the solar system, Phil. Sci. 70(2) (2003) 359–382]. Here we show that this is the only implication that holds among our three decidabilities in that setting. Under arbitrary measures, even this implication fails. Yet for intervals of non-zero length, and more generally, convex sets of non-zero measure, the three concepts are equivalent. (shrink)

The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws (...) in which the exponents are neutrosophic cubic hesitant fuzzy values and bases are positive real numbers. To use neutrosophic cubic hesitant fuzzy sets in decision-making, we are developing Dombi exponential aggregation operators in the current study. In the end, we present applications of exponential aggregation operators in multiattribute decision-making problems. (shrink)

Arthur Kaufmann is one of the most prominent figures among the contemporary philosophers of law in German speaking countries. For many years he was a director of the Institute of Philosophy of Law and Computer Sciences for Law at the University in Munich. Presently, he is a retired professor of this university. Rare in the contemporary legal thought, Arthur Kaufmann's philosophy of law is one with the highest ambitions — it aspires to pinpoint the ultimate foundations of law by explicitly (...) proposing an ontology, a general theory of knowledge and concept of a person. Kaufmann's work derives, first of all, from the thinking of Gustav Radburch, his teacher, and then from ideas of Karl Engish and Hans-Georg Gadamer. The philosophy undertakes to pursue the ultimate foundation of law, law which is understood by Kaufmann, first of all, as a "concrete judgement" that is, what is right in a concrete situation. Justice belongs to the essence of law and "unjust law" is contradictio in adiectio. Kaufmann opposes all those theories, which as the only foundation for establishing just law (Recht) adopt legal norms (Gesetz). In Kaufmann's opinion , such theories are powerless in the face of all types of distortions of law rendered by political forces. He suggests that the basic phenomenon which needs to be explained and which cannot be disregarded by a philosopher of law is so-called "legal lawlessness" ("Gestzliches Unrecht"). "Legal lawlessness" which forms a part of life experience for the people of twentieth century totalitarian states. It proved "with the accuracy of scientific experiment" that the reality of law consists of something more than bare conformity with legal norms. The existence of lex corrupta indicates that law contains something "non-dispositive" which requires acknowledgment of both law-maker and judge. Kaufmann, accepting the convergent concept of truth and cognition, assumes that "non-dispositive" content, emerging as the conformity of a number of cognitive acts of different subjects (inter-subjective communicativeness and verifiability), indicates the presence of being in this cognition. The questions "What is law?" and "What are the principles of a just solution?" lead straight to the ontology of law, to the question about the ontological foundations of law. Kaufmann discerns the ontological foundations of law in the specifically understood "nature of things" and, ultimately, in a "person". He proposes a procedural theory of justice, founded on a "person". In my work, I undertake to reconstruct the train of thought which led Kaufmann to the recognition of a "person" as the ontological foundation of law. In the first part, the conception of philosophy adopted by Kaufmann, initial characteristics of law — of reality which is the subject of analysis, as well as, the requirements for proper philosophical explanation of law posed by Kaufmann are introduced. In the second, Kaufmann's reconstruction of the process of the realisation of law is presented. Next, the conception of analogy which Kaufmann uses when explaining law is analyzed. In the fourth part, Kaufmann's conception of ontological foundations of law is discussed. A critical analysis is carried out in which I demonstrate that the theory of the ontological foundation of law proposed by Kaufmann and the concept of a person included in it do not allow a satisfac¬tory explanation of the phenomenon of "legal lawlessness" and lead to a number of difficulties in the philosophical explanation of law. Finally, the perspectives of a proper formulation of the issue of the ontological foundations of law are drafted in the context of the analyzed theory. My interest is centered on the conception of philosophy adopted by Kaufmann, according to which the existence of the reality is inferred on the basis of a certain configuration of the content of consciousness, whereas at the point of departure of philosophy of law, the data to be explained is a certain process, which is, basically, a process of cognition, while the reality appears only as a condition for the possibility of the occurrence of the process. I wish to argue that the difficulties which appear in the explanation of law are a consequence of the assumed fundamental philosophical solu¬tions, which seem to be characteristic, though usually not assumed explicitly, in philoso¬phy and theory of law dominant at present in continental Europe. Thereby, I wish to show the significance of ontological and epistemological solutions to the possibility of a proper formulation of the problems posed by philosophy and theory of law. Kaufmann proclaims himself in favour of a philosophy which poses questions about the ultimate foundations of understanding of the reality. In epistemology, he assumes that answers to the questions "What is reality like?" and ultimately "What is real?" are inferred on the basis of uniformity of a cognitive acts of different subjects. Cognition of the reality is accomplished exclusively through the content of conceptual material. The two fundamental questions posed by philosophy of law are "What is just law?" and "How is the just law enacted?" The latter is a question about the process of achieving a solution to a concrete case. Since, in Kaufmann's opinion, law does not exist apart from the process of its realisation, an answer to the question about the manner of realisation of law is of fundamental significance to answering the question: "What is law?" and to the explanation of the question about the ontological grounding of law, which is, as well, the foundation of justice. The proper solution has to take into account the moment of "non-dispositive" content of law; its positiveness understood as the reality and, at the same time, it has to point to the principles of the historical transformation of the content. Law, in the primary meaning of the word, always pertains, in Kaufmann's opinion, to a concrete case. A legal norm is solely the "possibility" of law and the entirely real law is ipsa res iusta, that which is just in a given situation. Determination of what is just takes place in a certain type of process performed by a judge (or by man confronted with a choice). Kaufmann aims to reconstruct this process. A question about the ontological foundation of law is a question about the ontological foundations of this process. In the analyzed theory it is formulated as a question about the transcendental conditions, necessary for the possibility of the occurrence of the process: how the reality should be thought to make possible the reconstructed process of the realisation of law. Kaufmann rejects the model for finding a concrete solution based on simple subsump¬tion and proposes a model in which concrete law ensues, based on inference by analogy, through the process of "bringing to conformity" that which is normative with that which is factual. Kaufmann distinguishes three levels in the process of the realisation of law. On the highest level, there are the fundamental legal principles, on the second legal norms, on the third — concrete solutions. The fundamental principles of law are general inasmuch as they cannot be "applied" directly to concrete conditions of life, however, they play an important part in establishing norms. A judge encounters a concrete situation and a system of legal norms. A life situation and norms are situated on inherently different levels of factuality and normativeness. In order to acquire a definite law both a norm (system of norms) and a life situation (Lebenssachverhalt) should undergo a kind of "treatment" which would allow a mutual conformity to be brought to them. Legal norms and definite conditions of life come together in the process of analogical inference in which the "factual state" ("Tatbestand") — which represents a norm, and in the "state of things" ("Sachverhalt") — which represents a specific situation are constructed. A "factual state" is a sense interpreted from a norm with respect to specific conditions of life. The "state of things" is a sense constructed on the basis of concrete conditions of life with respect to norms (system of norms). Legal norms and concrete conditions of life meet in one common sense established during the process of realisation of law. Mutatis mutandis the same refers to the process of composition of legal norms: as the acquisition of concrete law consists in a mutual "synchronization" of norms and concrete conditions of life, so acquisition of legal norms consists of bringing to conformity fundamental principles and possible conditions of life. According to Kaufmann, both of these processes are based on inference through analogy. As this inference is the heart of these processes it is simultaneously a foundation finding just law and justice. How does Kaufmann understand such an inference? As the basis for all justice he assumes a specifically interpreted distributive justice grounded on proportionality. Equality of relations is required between life conditions and their normative qualification. Concrete conditions of life are ascribed normative qualification not through simple application of a general norm. More likely, when we look for a solution we go from one concrete normative qualified case to another, through already known "applications" of norms to a new "application". The relation between life conditions and their normative qualifica¬tion has to be proportional to other, earlier or possible (thought of) assignments of that which is factual to that which is normative. Law as a whole does not consist of a set of norms, but only of a unity of relations. Since law is a, based on proportion, relative unity of a norm and conditions of life, in order to explain law in philosophical manner, the question about ontological base of this unity has to be asked. What is it that makes the relation between a norm and conditions of life "non-dispositive"? What is the basis for such an interpretation of a norm and case which makes it possible to bring a norm and conditions of life into mutual "conformity"? This is a question about a third thing (next to norms and conditions of life), with respect to which the relative identity between a norm and conditions of life occurs, about the intermediary between that which is normative and that which is factual and which provides for the process of establishing of norms, as well as, finding solutions. It is the "sense" in which the idea of law or legal norm and conditions of life have to be identical to be brought to mutual "conformity". In Kaufmann's opinion such a sense is nothing else but the "nature of things" which determines the normative qualification of the reality. Since establishment of this "sense" appears to be "non-dispositive" and controlled inter-subjectively (namely, other subjects will reach a similar result) so, in conformity with the convergent concept of truth, the "nature of things" must be assigned a certain ontological status. According to Kaufmann this is a real relation which occurs between being and obligation, between the conditions of life and normative quality. However, it should be underlined that from the point of view of the analyzed system the "nature of things" is a correlate of constructed sense, a result of a construction which is based on the principle of consistent understanding of senses ("non-normative" and "normative") and is not a reality which is transcendent against the arrangement of senses. In Kaufmann's theory, inference from analogy appears to be a process of reshaping the concepts (senses) governed by tendency to understand the contents appearing in relations between that which is factual and that which is normative in a consistent way. The analogical structure of language (concepts) and recognition of being as composed of an essence and existence is an indispensable requirement for the possibility of the realisation of law, based on specifically understood inference from analogy. It is necessary to assume a moment of existence without content which ensures unity of cognition. Existence emerges thus as a condition of the possibility of cognition. According to Kaufmann, the "nature of things" is the heart of inference through analogy and the basis for establishment of finding of law. Inference from the "state of things" to a norm or from a norm to the "state of things" always means inference through the "nature of things". The "nature of things" is the proper medium of objective legal sense sought in every cognition of law. In Kaufmann's view, the question whether the "nature of things" is ultima ratio of interpretation of law or is only a means of supplement gaps in law or whether it is one of the sources of law, is posed wrongly. The "nature of things" serves neither to supplement the gaps nor is it a source of law as, for example, a legal norm may be. It is a certain kind of "catalyst" necessary in every act of making law and solving a concrete case. Owing to "nature of things" it is possible to bring to a mutual conformity the idea of law and possible conditions of life or legal norms and concrete conditions of life. In Kaufmann's conception the "nature of things" is not yet the ultimate basis for understanding the "non-dispositiveness" of law. The relation between obligation and being is determined in the process of the realisation of law. Both the process itself and that which is transformed in this process are given. A question about the ontological bases of "material" contents undergoing "treatment" in the process of the realisation of law and about being which is the basis of regularity of the occurrence of the process arises. Only this will allow an explanation that the result of the process is not optional. Thus, a question about reality to which law refers and about the subject realising the law has to be formed. To this, Kaufmann gives the following answer: that which is missing is man but not "empirical man" but man as a "person". A "person" understood as a set of relations between man and other people and things. A "person" is the intermediary between those things which are different — norm and case are brought to conformity. A "person" is that which is given and permanent in the process of the realisation of law. It determines the content of law, is "subject" of law; this aspect is described by Kaufmann as the "what" of the process of realisation of law. A "person" consists of precisely just these relations which undergo "treatment" in the process. On the other hand, a "person" is "a place" in which the processes of realisation of law occur, it is the "how" of normative discourse, a "person" is that which determines the procedure of the process, being "outside" of it. This aspect of a "person" is connected with the formal moment of law. A "person" being, at the same time, the "how" and the "what" of the process of the realisation of law, is also, to put it differently, a structural unity of relation and that which constitutes this relation (unity of relatio and relata). According to this approach a "person" is neither an object nor a subject. It exists only "in between". It is not substance. Law is the relation between being and obligation. That which is obligatory is connected with that which is general. That which is general does not exist on its own, it is not completely real. Accordingly, a "person" as such is also not real. It is relational, dynamic and historical. A "person" is not a state but an event. In Kaufmann's opinion, such a concept of a "person" helps to avoid the difficulties connected with the fungibility of law in classical legal positivism. A "person" is that which is given, which is not at free disposal and secures the moment of "non-dispositiveness" of law. Kaufmann concludes: "The idea (»nature«) of law is either the idea of a personal man or is nothing". Theory points at the structure of realising law and explains the process of adoption of general legal norms for a concrete situation. The analysis has shown however, that in this theory a satisfactory answer to the question about the ultimate foundations of law is not given. It seems that in the analyzed theory the understanding of human being takes place through understanding of law. What is good for man as a "person", what is just, what a "person" deserves may be determined only against the existing system of law. A "per¬son" adopted as a basis of law is the reality postulated in the analysis of the process of the realisation of law. It is a condition of possibility of this process ( explaining, on one hand, its unity and, on the other hand, the non-dispositive moments stated in this process). A "person" in the discussed theory is entirely defined by the structure of law, it can be nothing more than that which is given in law, what law refers to, what law is about. Being, which is a "person", is constituted by relations between people and objects, the relations which are based on fundamental links between norms and conditions of life established in a process of bringing them to conformity. It has to be assumed that man as a "person" is a subject of law only as far as realising law "treats" given senses according to their current configuration. The system of law is a starting point and it describes in content what man is as a "person". Moreover, being a "person" is the condition for entering legal relations. Consistently, Kaufmann writes that "empirical man" is not the subject of law, man is not "out of nature" a "person". People become "persons" due to the fact that they acknowledge each other as "persons" — acknowledging, at the same time, law. This acknowledgement is a con¬dition of existence, of the possibility of the occurrence of process of realisation of law and of constituting legal relations which ultimately constitute a "person". Kaufmann assumes, that law tends towards a moral aim: it may and must create an external freedom, without which the internal freedom to fulfil moral obligations cannot develop. However, this postulate is not based on the necessary structure of human being. From the point of view of his system, it is nothing more than only a condition for the possibility of the occurrence of the process of the realisation of law — lack of freedom would destroy the "how" of this process. Thus, the postulate to protect the freedom of personal acts has to be interpreted, in accordance with the analyzed theory, as a postulate, the fulfilment of which aims ultimately at the accomplishment of the very same process of realisation of law itself and not the realisation of a given man. Kaufmann considers a "person" to be an element which unites the system of law as a whole. Law is a structure of relations, which are interdependent and inter-contingent. Consequently, a "person" which is to form the ontological basis of law has to be entity consisting of all relations. Being also the "how" of the process of realisation of law, if a "person" is to warrant its unity, it has to be a common source for all procedures. Hence, a single "person" would constitute a subject of law. Man appears to be only a moment of a certain entirety, realisation of which should be an aim of his actions. Law, creating a "person" as an object and subject of law becomes a primary entity. In the analyzed theory, the basis for determination of aims which law sets to man is not the allocation of man-subject to something which improves him but rather, such relation is only just constituted by law. A question appears, why should aims set in law also be the aims of "empirical man"? Why is this "empirical man" to be punished in the name of a "person" understood in such a way? If, however, it is assumed that what is man is determined by a system which is superior to him, then man has to be understood only as a part of a whole and there are no grounds to prohibit istrumental treatment of man and so the road to all aspects of totalitarianism might be opened. A problem of the application of created theory to the reality arises, the reality which the theory pretends to explain. Ultimately in his theory Kaufmann does not give any systemic grounds for a radical questioning of the validity of any legal norms. Every new norm becomes an equal part of system of norms. It is only its interpretation and application to given conditions of life that may be disputable, however, this refers to all norms without exception. Cohesive inter-pretation of norms and applications is necessary and sufficient for the acquisition of just law. New norms have to be interpreted in the light of others, correspondingly, the other norms require reinterpretation in the light of the new ones. Contradiction in interpretation of a norm does not form a basis for questioning norms but may serve only to question the manner of their interpretation (understanding). Therefore, no grounds exist to assume any legal norm as criminal or unjust, and in consequence, to question any consistently realised system based on formally, properly established norms, as "legal lawlessness". As law and a "person" do not exist without the process of realisation of law, the role of legal safety becomes crucial as the condition for the possibility of the occurrence of the process of realisation of law. Denying legal safety would be tantamount to negation of law in general (also of moral law) as negation of safety takes away, at the same time, the basis for occurrence of the process of realisation of law. Moreover, any lack of legal safety would also mean lack of a basis for the existence of man as a "person". Kaufmann's thesis, that civil disobedience is legalized only when it has a chance to lead to success, consistent with his concept of the foundations of law, seems to point directly to conclusions which deny the facts taken under consideration and doubtlessly Kaufmann's own intentions, since it would have to be assumed that accordingly there are no grounds to question a legal system in force based on violence which secures its operation. Force finally seems to determine which one of the mutually irreconcilable normative systems constitute law and which does not. A legitimate position is one which leads to success, it is the weaker system which is negated. If so, then basically violent imposition of law is not an act directed against the law in force but, to the contrary, realisation of law. In the context of the new system the former system of law may be talked about as unjust solely in the sense of being incapable of being consistently united with the new. However, at the base, ultimately, lies force which reaffirms differences and excludes from the process of realisation of law certain norms and their interpretations. Kaufmann was aiming at grounding of that which is "non-dispositive" in a certain given framework of interpretation. Nevertheless, he does not provide foundations for the understanding of phenomena, which he undertakes to explain at a point of departure. Instead of explaining them the theory negates the possibility of their existence. The reality postulated in regard to "non-dispositive" moments of the reconstructed process of acquiring law consist of a specifically understood "person", which appears in Kaufmann's conceptions as a condition of the possibility of the realisation of law. According to this approach understanding of a "person" may be only a function of law. To understand "legal lawlessness" and foundations of justice it is necessary to look for such theory of law in which understanding of man as a "person" and being is not a function of understanding of law (in which a "person" is not only a condition for possibility of reconstructed process of realisation of law; for possibility of cognition processes). It seems necessary to start from theory of being and a "person" based on broader experience than the one assumed by Kaufmann and reconstruct the ontological foundations of the process of realisation of law only in such perspective. Kaufmann points out that that to which law refers is ipsa res iusta a concrete relation of man to other people and things. This relation, in his theory, appears to be basically only just constituted by law (normative senses "applied" to conditions of life). Therefore, understanding the relation between a given man and other people and things which constitute the aim of his actions, that is understanding of good, is enacted against the background of constitution of senses; constitution which is a result of a process aiming towards consistent understanding of particular contents (of nor¬mative and non-normative senses). "Being" is secondary towards constructed senses it is only their correlate. The primary relation consists of relation of a man to law (system of norms), while the secondary relation is one of man to something which is the aim of his action (relation between man and good). Considering such approach it is difficult to envision a satisfying answer to the fundamental question: why does law put concrete man under any obligation to obey it? The source of this problem can be seen in reduction of the base for understanding good to content of obligation formulated in auto-reflection. Such reduction seems to be a consequence of Kaufmann's adoption of "convergent concept of truth" and in con¬sequence his recognition of indirect, essentialistic grasp of reality formulated in concepts as the basic and only foundation of theory of being and of law. In view of such an approach, analogy of law, concepts and being is the condition for the possibility of the process of transformation of senses which aims at consistent interpretation of all law. Existence is postulated with respect to the possibility of unity of experience and cognition. However, also a different approach to understanding of the problem of being and good is possible. In spontaneous cognition being is affirmed, first of all, not as a certain, non-contradictory, determined content, but as something existing. Together with a cer¬tain content (passed indirectly through notions) existence of being is co-given. The basis for unity of being is not formed by the consistence of content, as it is in the case of the theories departing from the analysis of cognition processes, but by an act of existence realising content (essence). Such an approach makes it also possible to go beyond the convergent concept of truth. It is worth mentioning that allocation of an agent to good is realised not only by the content of duty. A statement that something is good is primary with respect to determination of this good in content. The recognised good always bears some content, however, there are no reasons to base the concept of good exclusively on indirect, formulated in concepts cognition. As primary, can be adopted the relation of man to good and not of man to law. Determination in content appears to be only an articulation of aspectual cognition of being, as an object of action. In such a case the basis for relative unity of norm and conditions of life is not the "nature of things" understood as correlate of sense but it is relation to good based on internal constitution of man as potential, not self-sufficient being. It does not mean, that the moments of the process of realisation of law singled out by Kaufmann are not important to determination of what is just. He, quite rightly, points to significant role played by norms in the evaluation of concrete situations, in man's search for closer specification in content of good innate to him. The structure of process of determining law for a concrete situation, to a great degree corresponds to the processes of determining law which take place not only in the legal sciences. Kaufmann's analyses of the process of realisation of law show the complexity of the structure of these processes and point towards important moments allowing a better understanding of law and man. Nevertheless, these analyses cannot be a basis for construction of philosophical theory of law, theory which hopes to point out the ultimate, ontological foundations for understanding law. Kaufmann's results may become fully valid only in a more general perspective including broader experience at the point of departure. (shrink)

These supporting concepts enable us to much more adequately understand the meaning of apoha. First, a sharp distinction is drawn between the real and the conceptual; the real is particular, unique, momentary and the basis of perception, while the conceptual is universal, general, only supposedly objective and the basis of language. Second, the complex nature of negation discloses the kind of negation meant by apoha. Negation by implication is seen as disclosing the necessary relation between simple affirmations and (...) simple negations. It is in this sense that Dignaga asserts that the meaning of words lies in the negation of the opposite. Third, the idea of apoha as the differentiation of concepts is to be distinguished from the Nyāya-Vaiśe $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ika notion of exclusion as a materially present quality in objects.Ratnakirti, and Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta following him, use the idea of negation by implication to explain apoha as the simultaneity of and logical relation between a positive assertion concerning an epistemological object and a negative assertion concerning all things which are not that epistemological object. For example, Ratnakirti in accordance with the theory of apoha explains that the term cow “harbors” the negation of non-cow in the same way that blue is harbored in the term blue lotus. The exclusion of the other, i.e., the negation of the non-cow, is held by Ratnakirti to be an actually apprehended attribute of the cow cognized (as distinct from the cow in itself). He says “... discrimination of non-cow inevitably arises simultaneously with the perception of the cow, for (the negation of non-cow) is the qualifier (of the individual).” This interaction between the positive and the negation of the other, i.e., the relation of negation by implication, as a simultaneous interaction is necessary lest when, e.g., asked to tie up a cow one ties up a horse instead.Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta denies three possible interpretations of apoha before putting forth his own definition. The first is that when an external object is conceptualized this is done as “the other (the dissimilar) is discriminated from this.”The second is much the same, only it is in terms of the mental image, i.e., the epistemological object rather than the ontological object as in the first. The third is that apoha means the negation of an assertion, i.e., the simple absence of the other. All three of these interpretations are unacceptable to Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta. He defines apoha as “the affirmation (of a positive entity) qualified by discrimination (of it from all other entities).”Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta goes on to explain this simultaneity more fully: ... those who stress affirmation think that after we have known the cow, we consequently determine the discrimination of the essence of the cow from that of the non-cow; those who stress the negative function of apoha are of the opinion that we first know the discrimination of the dissimilar thing and then consequently confirm the thing which is discriminated from others, viz., the cow. Thus (both interpretations) are wrong. For at the time of judgment we do not experience an order of comprehension in which (negation or affirmation) occurs first. In fact, it is not the case that one, having understood the affirmation, later confirms the negation by implication, or that one having understood the negation later confirms what is discriminated (from the dissimilar). Therefore, we say that the very understanding of the cow is the same as the understanding of what is discriminated from the dissimilar.We can see from this that for Ratnakirti and Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta apoha meant the simultaneous affirmation of and negation of the dissimilar from the (epistemological) object. Mok $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{s}$$ ākaragupta's concern with the “time of judgment” also shows that the idea of apoha was understood by them as being psychologically descriptive. In the process of identifying an epistemological object as some particular thing, neither the negative nor the positive function have priority but are, rather, complementary one to the other. This simultaneity and complementarity are supported by the examination of mind “at the time of judgment,” i.e., it is a psychological description of the process of identification of an epistemological object as some particular thing.It is this fact of apoha describing the process of identification which, as described above, places apoha in the inference category of sources of truth. Apoha is clearly, therefore, involved with words and concepts rather than being on the perception side where it would have to be a metaphysical concept describing the real or absolute.Putting the idea of apoha into contemporary terms we can say that it is a psychological descriptor for the bipolar relation of concepts. Dignaga and the other Buddhist logicians are then to be understood here as being involved in producing a phenomenological description of linguistic thought processes. More broadly, as in the discussion of perception, they are involved in the phenomenological description of consciousness, a favorite Buddhist undertaking. As such, the work of the Buddhist logicians fits into the larger soteriological intention of all Buddhist thinkers, since enlightenment is understood to follow from insight into the nature of consciousness as productive of suffering.Some authors have criticized the logicians as being overly concerned with the un-Buddhist occupation of arguing. However, when their work is seen as expanding our understanding of the nature and working of consciousness, the logicians are certainly worthy of our respect. (shrink)

Research on the oxidation of alloys supports the claim that natural scientists can and do use ideal type concepts when confronted with analytical or computational intractability. In opposition to those who collapse ideal types into 'standard' theoretical concepts, I argue ideal types possess a unique structure, function and axiology. In phenomenologically complex situations, scientists use these features to articulate experiment with theory generally and in particular to discover new boundary conditions. This conceptual articulation is achieved using models rather than (...) objective perceptual attributes alone. The analysis supports a claim of local rather than global identities of methodology. (shrink)

The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey (...) of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers. (shrink)

In [1] Todorov has shown by means of axiomatic set theory that there exists a nonstandard function Δ: *ℝn → * ℂ such that for all continuous functions φ: ℝn → ℂ, equation image.Here *ℝ and *ℂ are the set of the nonstandard real numbers and the set of the nonstandard complex numbers, respectively, and *φ: *ℝn → *ℂ is the nonstandard extension of φ In the present note we want to prove an analogous theorem by predicative (...) means only. (shrink)

Some contemporary theories about the origin and the nature of language resort to concepts with no bearing on Darwinian evolutionary hypothesis or evo-devo perspective which are both based on the reconstruction of species morphological structure transformation. These theories, which evoke qualitative leap, cultural evolution, structure/function coevolution as esplicative principles for human evolution, in our opinion, result compatible in some points with the most recent Intelligent Design accounts. Attempting to substantiate itself as a scientific theory, the contemporary ID is ready (...) to give up creationist explanation just to impeding Darwin’s fundamental idea according to which it’s possible to explain evolution only through a gradual material modification of structures. For comprehending a complex phenomenon as human language – according to ID – it’s necessary appealing to a second substance, whatever it is. This idea seems to be at the bottom of all those theories which have rejected monistic structural explanation for embracing functional, psychological or cultural accounts. We consider these kinds of explanation real unresolved residuals of ID, residuals nested in the heart of the most accredited scientific theories. (shrink)

We consider the possible complexity of the set of reals belonging to an inner model M of set theory. We show that if this set is analytic then either 1M is countable or else all reals are in M. We also show that if an inner model contains a superperfect set of reals as a subset then it contains all reals. On the other hand, it is possible to have an inner model M whose reals are an uncountable (...) Fσ set and which does not have all reals. A similar construction shows that there can be an inner model M which computes correctly 1, contains a perfect set of reals as a subset and yet not all reals are in M. These results were motivated by questions of H. Friedman and K. Prikry. (shrink)

Enlightened experience (i.e. awakened to the truth) is the most valuable one in most religions including Christianity and Buddhism. As well-known cases of such experience are Apocalypse St. Paul and many Grand Zen masters in Zen Buddhism, it is natural for us to believe that the enlighten is for very talented or speciallytrained ones. However, applying the complexity theory on the structure of enlightenment, based on the power law function, selforganized criticality, phase transition, and emergence, it is clear (...) that the full awakening can be experienced by everyone in daily life. Furthermore, such experiences are not necessary to be limited in religious one. Rediscovering the path to full awakening by complexity theory leads to the demythologization of the enlightenment in Korean Zen Buddhism, which emphasizes a hard apprenticeship in temple for long periods for the purpose. (shrink)

Let ℛ be an o-minimal expansion of a real closed field R. We continue here the investigation we began in [11] of differentiability with respect to the algebraically closed field [Formula: see text]. We develop the basic theory of such K-differentiability for definable functions of several variables, proving theorems on removable singularities as well as analogues of the Weierstrass preparation and division theorems for definable functions. We consider also definably meromorphic functions and prove that every (...) definable function which is meromorphic on Kn is necessarily a rational function. We finally discuss definable analogues of complex analytic manifolds, with possible connections to the model theoretic work on compact complex manifolds, and present two examples of "nonstandard manifolds" in our setting. (shrink)

The first-order logical theory Th $({\mathbb{N}},x + 1,F(x))$ is proved to be complete for the class ATIME-ALT $(2^{O(n)},O(n))$ when $F(x) = 2^{x}$ , and the same result holds for $F(x) = c^{x}, x^{c} (c \in {\mathbb{N}}, c \ge 2)$ , and F(x) = tower of x powers of two. The difficult part is the upper bound, which is obtained by using a bounded Ehrenfeucht–Fraïssé game.

Introduction. The article is focused on analyzing the utopian direction of Russian cosmism and its influence on the Soviet cosmonautics and the development of society in the USSR. This philosophical theory was created in the period that made it possible to incorporate the applied aspects of utopia into scientific and technological progress and thereby embody a number of steps towards the outer space exploration. The authors have developed criteria and parameters for assessing the utopian component of the Russian cosmism (...) theories, which made it possible to bring this construct to a higher level of abstraction and thereby create a working model for conducting such studies in the context of other utopias of models. The purpose of the article is to show the influence of the Russian cosmism utopia on the cosmonautics development in the USSR, develop empirical criteria for evaluating the phenomenon. Achieving the goal required solving the following tasks: 1) considering and analyzing the subject matter of the cosmism utopia; 2) developing parameters for assessing the impact of utopia on the development of the social system; 3) applying the developed parameters to assess the impact of utopian ideas on the development of the Soviet cosmonautics system. Methods. Developing the theoretical model for assessing social utopias, as well as considering and analyzing the cosmism utopia, required the use of structural-functional and systems analysis. The research was conducted within the framework of a synergistic paradigm. Scientific novelty of the research. The article conceptualizes the concept of utopia. It is shown that most of the definitions of utopia as a socio-political ideal focus on the limitations of its existence: utopia cannot be embodied, often has an unscientific character, does not correlate with the real state of the system, i.e. definitions of utopia are often reduced to the negative format. The authors believe that the influence of utopia on society, as a rule, is positive. It is noted that, along with limitations, utopianism has certain unique essential features that qualitatively affect the social projects implementation. Utopia in the systemic understanding acts as a complex of ideas influencing the development of the system, being both internal (since it is created artificially and consciously by the very elements of the system) and an external factor of influence. Unlike Plato’s eidos, the projection of which is reality, utopia is created inductively, but after its creation it again “descends” to the level of reality, since it begins to influence the social model in which it was created. Results. The article discusses the prognostic and modeling functions of the social utopias of Russian cosmists. It has been proved that one of the essential functions of the Russian cosmism utopias is the formation of an ideal type, towards which, in a historical perspective, the real social system begins to strive. It is convincingly demonstrated that utopia acts as a cognitive support and inevitably forms the canvas along which society begins to move, defining the utopian model as an attractor, although such a goal is not always formulated when creating a utopia. This relationship makes it possible to assess the degree of influence of utopian ideas on the formation of reality in each specific case, which, in turn, provides an opportunity to answer the question of how and to what extent the utopian ideal type participates in determining the characteristics and parameters of a real social system. Conclusions. It was found that the social utopia of cosmists as a cognitive concept is an important effective factor influencing the development of the space industry in the USSR. The parameters adopted in the study allow us to describe the measure of its influence as both an internal and an external factor on the development of the society in which it is implemented. The validity of perceiving the utopia of cosmists as a construct with a certain life cycle, the main part of which is the period of functioning, is stated. During this time period, utopian theory can have a significant impact on the actual development of society from various angles. (shrink)

A Liouville function is an analytic function $H : C \rightarrow C$ with a Taylor series $\Sigma_{n=1}^\infty x^n/a_n$ such the $a_n\prime s$ form a "very fast growing" sequence of integers. In this paper we exhibit the complete first-order theory of the complex field expanded with H.

A theory of approximation to measurable sets and measurable functions based on the concepts of recursion theory and discrete complexity theory is developed. The approximation method uses a model of oracle Turing machines, and so the computational complexity may be defined in a natural way. This complexity measure may be viewed as a formulation of the average-case complexity of real functions—in contrast to the more restrictive worst-case complexity. The relationship (...) between these two complexity measures is further studied and compared with the notion of the distribution-free probabilistic computation. The computational complexity of the Lebesgue integral of polynomial-time approximable functions is studied and related to the question “FP = ♯P?”. (shrink)

Links between Theory of Mind and Executive Function: Towards a More Comprehensive Model This paper addresses the problem of relationships between the development of theory of mind and executive function. An overview of empirical findings leads to the conclusion that the complex picture of the relations between EF and ToM development may result from the intertwining of different types and levels of reciprocal influences. It is, on the one hand, the level of emergence-type vs. expressive-type influences, and, on (...) the other hand, direct vs. indirect ones. Data from longitudinal and training studies suggest the asymmetry of reciprocal influences between EF and ToM, with the stronger impact of EF on ToM development, which supports the view that EF is a prerequisite of ToM development. A model is proposed that explains how different EF and ToM skills are involved in the specific types and levels of influences. The issue of disentangling in the analysis the different types of reciprocal impacts is also discussed. (shrink)

The study of how languages differ in their portrayal of motion events has received much attention since Talmy provided the first detailed account of the phenomenon. Interest has extended from real, or factive motion, to imagined or fictive motion, and from there to metaphorical motion, in which experience in one sensory domain is understood in terms of motion. Studies of metaphorical motion have, however, concentrated so far on a limited number of sensory domains, principally vision, and drawn data from (...) a limited number of textual genres. The aim of this study is to identify the extent to which motion expressions are employed to express organoleptic sensory experiences, that is experiences of taste and smell. Drawing on analytical categories put forward by Talmy in his treatment of Satellite- and Verb-framed languages and on treatments based on Cognitive Metaphor Theory, and particularly the concept of ‘embodiment’, we investigate the variety and complexity of organoleptic Paths evidenced in two self-built corpora of craft beer reviews, one in Spanish, the other in English. We also compare the level of complexity evident in these sensory Path types with those of another, closely related, sensory domain: vision. The study finds, in line with related studies, that English has greater variety and complexity of sensory Paths than Spanish. A more unexpected result is the finding that organoleptic Paths are more varied and complex than visual Paths. This finding, then, may encourage us to reconsider Path complexity differences in sensory domains as a multifactorial issue and not simply as a cognitive-linguistic phenomenon. It is proposed here that external factors such as genre, or specifically, its communicative functions and linguistic constraints, coupled with the unique ‘perceptual landscapes’ created by each sensory modality, may transcend perceived physical boundaries of a Figure’s trajectory. (shrink)

We show that the ordered field of real numbers with restricted $\mathbb{R}_{\mathscr{H}}$-definable analytic functions admits quantifier elimination if we add a function symbol $^{-1}$ for the function $x\mapsto \frac{1}{x}$ (with $0^{-1}=0$ by convention), where $\mathbb{R}_{\mathscr{H}}$ is the real field augmented by the functions in the family $\mathscr{H}$ of restricted parts (real and imaginary) of holomorphic functions which satisfies certain conditions. Further, with another condition on $\mathscr{H}$ we show that the structure ($\mathbb{R}_{\mathscr{H}}$, constants) is strongly (...) model complete. (shrink)

In the first part of this article an attempt was made to clear the ground for a functional theory of knowledge, and the discussion of structure and function with which it concluded enables us to approach the problem of cognition. If the view already set forth is sound, it seems clear that the relation of the mind to its object is a function and not a structure of the mental processes involved. The mere existence of a mental content, however (...) complex it may be, however decorated with fringes or set off by a background, does not constitute an act of knowledge or give the content a meaning. In order to see a mental act as cognitive we must consider its function, its origin, its results, and in general the circumstances in which it stands. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 12.4 (2005) 343-348 [Access article in PDF] Doomed by Nature: The Inevitable Failure of our Naturally Selected Functions Andreas De Block Keywords psychoanalysis, Darwinism, evolutionary psychiatry, pathogenic metaphysics In their very thoughtful and stimulating replies, the three commentators foreground several topics crucial for both psychoanalysis and philosophical psychiatry. In my short response, I focus primarily on what the commentators believe to be the paper's (...) main shortcomings. The first critique reads as follows: Freud never claimed that the Homo sapiens is a fundamentally sick animal, but in fact thought that normalcy is possible and that normal behavior need not be interpreted as neurotic, perverse or psychotic. The second is that current Darwinian psychiatry does not substantiate the view that Homo sapiens is essentially an ill animal, whatever Freud's position might be. Third and last, the proposal that all human beings are ill to the core seems to be more of a religious slogan than a scientifically useful description. What Freud Really Said A transhistorical approach to Freud's work is far from simple, considering that it spans a period of over forty years and that it underwent considerable changes during that time. Not only did Freud introduce some radically new concepts during that time, such as narcissism and the death drive. Also, he regularly changed his position on the aim of psychoanalytic therapy, the ontogenesis of anxiety, and the nature of human sexuality. That Freud sometimes saw homosexuality as an inborn drive did not keep him on other occasions from thinking that homosexual desire was a result of the repression or projection of an oedipal (heterosexual) drive. Examples like these show that any exegesis of Freud's writings inevitably has to deal with some tensions. Freud's work contains numerous apparent, as well as real, contradictions, so that it is no surprise at all that Katherine Morris can produce textual evidence "proving" that Freud never held the view I attribute to him. According to her, Freud thought that we are not all neurotics and that normalcy is possible.I do not deny that several passages in Freud's work underscore the possibility of non-neurotic normalcy. Indeed, Freudian theory even describes processes—sublimation, the transformation from Id to Ego, the resolution of the oedipal complex, among others—that explain how human beings can escape neurosis and other mental disorders. But Freud's illustrations of these mechanisms or processes make clear that he could not conceive [End Page 343] of a nonpathogenic psychodynamics. Consider, for instance, how Freud emphasizes throughout his study of Leonardo da Vinci that Leonardo's sublimations make him extremely vulnerable to psychic exhaustion or "neurasthenia" (1910). Freud never tires of repeating that there is only a gradual difference between a neurotic patient and Leonardo da Vinci, the sublimating ("healthy") artist and scientist.Morris (2005) is right, of course, in arguing that a gradual difference between normality and mental illness does not imply that there is no difference at all. Quantity should not be thought the opposite of quality, because small quantitative differences can transform an "articulation" into a "breach." To use Hegel's famous example, there is a continuum between 110° C and -10° C, but everybody knows that that water evaporates above 100° C and freezes below 0° C. Applied to mental disorders, quantitative differences in levels of testosterone and serotonin may lead to qualitative differences in behavior; in other words, categorical and dimensional approaches to mental illnesses are not mutually exclusive. Having established that, we now need to take a closer look at how Freud articulated the differences between seemingly normal individuals and the mentally ill.Freud held that neurosis, psychosis, and perversion are caused by the interplay between instincts and defense mechanisms. Further, he thought that the pathogenic instincts were almost exclusively sexual. Now, although it is true that he sometimes recognized that the fear of death and the death drive are important factors for psychic life (Deeley 2005) and for the etiology of psychosis, more often than not he interpreted the fear of death as a symbolization of... (shrink)

Molecular structure is one of the dispositional attributes of the molecule and counted as an example of affordances. This attribute has been systematically exploited through the development of theories and practice of organic chemistry. (Ochiai 2023, pp. 141–149) The question to be addressed in this study is whether we can legitimately claim that this type of attribute is real. To answer the question, we first clarify what is worthy of the word ‘reality’ in scientific arguments. Whitehead claims that a (...) physical substance like electron is a bundle of spatial-temporal experience. (Mesle 2008, p. 36) The contention is that we cognize the causal relationships of the physical world through the experience of events. What we cognize as real is not unchanging matter but various kinds of events we experience. Based on this recognition we examine the nature of affordances. Affordances are the context-relative dispositional attributes of {agent-world} complexes. (Harré 2014, pp. 77–91; Harré and Llored 2018, pp. 167–186) The affordance of a knife becomes actualized through our experience of cutting. In this way affordances are concerned with work or the function of something useful. They are materialized as tools. This suggests that affordances are real, and so is molecular structure. Molecular structure is characterized by a certain function which molecules show in organic synthesis. Other dispositional attributes of molecules that become actualized in the context of organic chemistry are also examined. We refer to the physical significance of wavefunctions as well, which we discussed in the previous study. (Ochiai 2023, pp. 359–367) Creating function, we expand a world we cognize as real. This view of the world we name ‘functional realism.’ Our conceptual scheme is supported by Quine’s holism. (shrink)

We may now ask the question: In what historical perspective should we place the work of Richard Goldschmidt? There is no doubt that in the period 1910–1950 Goldschmidt was an important and prolific figure in the history of biology in general, and of genetics in particular. His textbook on physiological genetics, published in 1938, was an amazing compendium of ideas put forward in the previous half-century about how genes influence physiology and development. His earlier studies on the genetic and geographic (...) distribution of the various species and races of Lymantria contributed soundly to an understanding of the inheritance and development of sex, as well as the genetics of speciation. He was a curious mixture of the experimentalist, empiricist, and theorizer, who could grasp both the large and the small at once and wrap them into the same integrated and coherent package.In insisting on trying to relate genetics to development, Goldschmidt was continually forced to speculate and to forsake experimental fact for generalized theory. In refusing to reconcile a physiological and developmental conception with a corpuscular theory of the gene, he forced himself to substitute for a large body of experimentally verified evidence, vague and general speculations which did not lead in any precise direction. L. C. Dunn summarizes succinctly the effect of Goldschmidt's thinking on the development of genetic theory: Although Goldschmidt's ideas had a considerable influence in directing attention to the developmental processes intervening between genes and characters, they did not lead to the establishment of a general theory of development in genetical terms. In fact, at the end of the period, as signalized by Goldschmidt's book of 1938 [Physiological Gentics] doubt remained whether there was a field with a defined problem which could be identified as developmental genetics.Yet the frequency with which Goldschmidt is cited by later writers suggests that there is a more positive side to his contribution than this. The early Mendelians had recognized the genic constitution of organisms and the Drosophila workers had uncovered in detail the chromosomal mechanism of heredity. These great discoveries were of classical character, solidly based on a multitude of well established facts. By themselves, however, they would not have been sufficient to place genetics in the central position within biology which it was to assume. Beyond the “static” analysis of gene transmission an insight was needed into the dynamic role of genes in cellular physiology, biochemistry, and development. Goldschmidt recognized this aspect and outlined in brilliant generalizations a physiological theory of genetics. Necessarily the prophetic nature of this achievement — romantic in the sense of Ostwald's classification of great scientists and their discoveries — transcended its factual basis. It was the audacity of the theoretician unimpeded by the still scanty data which gave a new focus to biological thought.Some have called Goldschmidt an “obstructionist” in the history of genetics—one whose efforts were largely directed toward useless and continual criticism — challenge for the sake of challenge. As this line of argument goes, time wasted answering Goldschmidt's poorly conceived criticisms could have been better used to pursue new lines of thought within the classical gene theory. Sometimes historians are upbraided for studying the work of such “obstructionists,” or even the work of those whose ideas have later proved to be inadequate. This argument misses the point of history and the lessons which it can teach. Perhaps Goldschmidt did take the time of a number of the classical geneticists who tried to answer his objections to the gene theory; and perhaps many of his own ideas about genes were, by today's view, “wrong.” These are always easier judgments to make by hindsight than at the moment. But that is not the point. Goldschmidt had a considerable influence on his contemporaries, and to dismiss him as an obstructionist because his opponents later proved to be more nearly right, distorts history and obscures significant questions which we might well be asking. It might be valuable to know why Goldschmidt felt compelled to be an iconoclast —and how that impulse, psychological in orgin, led him to overlook critical items of evidence which his opponents considered more carefully. It might also be valuable to try and understand how a contemporary of Goldschmidt or. Morgan really viewed the gene theory — what were its strong and weak point? Such questions are not readily answered by studying the work of only those men who were correct by later standards.Answers to some of the above questions can be gleaned from this study of Goldschmidt — though the first, and most psychologically oriented, question is largely untouched here.On the one hand, Goldschmidt forced classical geneticists to reexamine the foundation of their ideas about the nature, inviolability, and even physical dimensions of genes. He also kept alive the very real problems of gene physiology and its relations to development — a relationship that was given less attention by the Drosophila school in their pursuit of the transmission process. On a broader level he emphasized to the biological community a principle that was in danger of being lost in the enthusiasm surrounding the expansion of the Mendelian-chromosome theory. The point was that all theories in science are transient, logical constructs which should not be held as sacred. Time and again, as the history of science has shown, theories become rigid structures which retard new modes of thought. From Goldschmidt's perspective, the gene theory was in danger of performing just that function, for it was preventing workers from viewing the gene in a functional as well as a structural light.On the other hand, examining the work of critics (or even of outright “obstructionists”) gives the historian an opportunity to observe how the more established community of scholars at some point in time reacts to challenges of its cherished ideas. The fact that many workers in his own day (such as Beadle, Luria, Delbruck, Sturtevant, Bridges, and others), as well as most geneticists today, saw Goldschmidt as having been largely “obstructionist” is useful historical (and/or sociological) data. Clearly, as this paper has tried to show, Goldschmidt's ideas were not all obstructionist, and his viewpoint that genes must be considered functionally was one which was clearly valid, premature as it may have been from an experimental and technique point of view. Perhaps Goldschmidt's major fault was that he developed alternative theories which were not easily testable. Nonetheless, his challenge to a fundamental and established idea brought forth a reaction from many members of the genetic community which indicates how unwilling they were to reconsider the formalized theory on which their work was based. While many of Goldschmidt's criticisms — and particularly his way of making them — arose out of his own idiosyncrasies, they were also a product of his times. His view of the nature of theory-construction, and his rejection of old-style reductionism and mechanism, were part of a growing awareness within the world scientific community that explanations based on reducing complex phenomena to ultimate particles or units were clearly inadequate. The success of the Mendelian-chromosome theory had obscured that fact for many geneticists, but to Goldschmidt it was a point that could not be allowed to pass unnoticed. (shrink)

In the past four decades, the notion of quantum polynomial-time computability has been mathematically modeled by quantum Turing machines as well as quantum circuits. This paper seeks the third model, which is a quantum analogue of the schematic definition of recursive functions. For quantum functions mapping finite-dimensional Hilbert spaces to themselves, we present such a schematic definition, composed of a small set of initial quantum functions and a few construction rules that dictate how to build a new (...) quantum function from the existing ones. We prove that our schematic definition precisely characterizes all functions that can be computable with high success probabilities on well-formed quantum Turing machines in polynomial time, or equivalently uniform families of polynomial-size quantum circuits. Our new, schematic definition is quite simple and intuitive and, more importantly, it avoids the cumbersome introduction of the well-formedness condition imposed on a quantum Turing machine model as well as of the uniformity condition necessary for a quantum circuit model. Our new approach can further open a door to the descriptional complexity of quantum functions, to the theory of higher-type quantum functionals, to the development of new first-order theories for quantum computing, and to the designing of programming languages for real-life quantum computer. (shrink)

This uncommonly fine textbook of the modern theory of functions of a real variable is particularly well-suited for mathematically mature students in the fields of philosophy and foundations of mathematics, philosophy of physics, probability theory, and statistics. Those who wish to achieve first-hand acquaintance with the quantum theory will also need to have a grasp of the material presented in this book. The first chapter presents a capsule survey of topics in abstract set theory (...) and algebra, including a discussion of relations, functions, the axiom of choice, and the well-ordering theorem, and leading up to the construction of the fields of real and complex numbers. The second chapter is an introduction to topology and spaces of topological functions. The approach is set-theoretical. Chapter three deals with the theory of the Lebesgue integral and measure theory. This chapter is quite comprehensive, rigorous and embellished with many exercises for the student. Subsequent sections include the theories of function spaces, Banach spaces, abstract Hilbert spaces, and differentiation. This is clearly one of the more worthwhile texts in its field.—H. P. K. (shrink)

In the target article, Christie, Brusse, et al. argue that selected effect functions do not, in general, explain why a trait exists in a population and, therefore, theories of representational content should not rely on selected effect functions. This response focuses on the claim about functions-for-representation. The role of evolutionary functions in a theory of content is to pick out outcomes that have been systematically stabilized by natural selection. Correctness conditions are conditions involved in explaining (...) how that happened. Selected effect functions can play that role in the complex equilibria that Christie, Brusse, et al. identify. Non-equilibrium cases are also discussed. (shrink)

In this paper, we simulate the estimation of motion through an interframe difference detection function model and investigate the spatial-temporal context information correlation filtering target tracking algorithm, which is complex and computationally intensive. The basic theory of spatiotemporal context information and correlation filtering is studied to construct a fast target tracking method. The different computational schemes are designed for the flow of multiframe target detection from background removal to noise reduction, to single-frame detection, and finally to multiframe detection, respectively. (...) This enables the ground-based telescope to effectively detect spatial targets in dense stellar backgrounds in both modes. The method is validated by simulations and experiments and can meet the requirements of real projects. The interframe bit attitude estimation is optimized by using the beam-parity method to reduce the interframe estimation noise; a global optimization strategy based on the bit attitude map is used in the back end to reduce the system computation amount and make the global bit attitude estimation more accurate; a loop detection based on the word pocket model is added to the system to reduce the cumulative error. (shrink)

Schizophrenia is a severe and disabling mental illness, associated with persistent difficulties in social functioning. While gaining and retaining a job or staying socially integrated can be very difficult for the patients, the treatment of poor functionality remains challenging with limited options in pharmacotherapy. To address the limitations of medical treatment, several interesting and innovative approaches have been introduced in the field of psychotherapy. Recent approaches incorporate modern technology as well, such as virtual reality. A potential therapeutic benefit of virtual (...) reality is particularly significant when an interpersonal dimension of the problem needs to be addressed. One example is a Virtual Reality based Theory of Mind Intervention, a novel method, which enables patients to practice complex social interactions without the burden of real-life consequences. Our paper presents a case report showing promising results of VR-ToMIS. Ms. Smith is a 50- year-old patient who has been suffering from schizophrenia for 20 years. Although in her case there was no problem with compliance throughout the years, she had severe problems regarding social functionality. With VR-ToMIS, she improved in ToM and communicative-pragmatic skills. The effects of the intervention went beyond the increased scores of the tests. Before the intervention there was a risk of the patient becoming unemployed as she was unable to follow the main principles of communicative exchange. Usually, her contribution was more informative than was required. After the intervention her communication became more balanced and she could retain her job. This case suggests that VR-ToMIS may be a promising tool for treating social disfunction in schizophrenia. (shrink)

The study of social, ethical, and political issues from a naturalistic perspective has been pervasive in social sciences and the humanities in the last decades. This articulation of empirical research with philosophical and normative reflection is increasingly getting attention in academic circles and the public spheres, given the prevalence of urgent needs and challenges that society is facing on a global scale. The contemporary world is full of challenges or what some philosophers have called ‘existential risks’ to humanity. Nuclear wars, (...) natural and/or engineered pandemics, climate change, global totalitarianism, and emergent technologies, are some of the challenges mentioned by many authors devoted to the study of long-term potential risks for the survival of the human species. However, while there are many reasons to be a pessimist about the future of humanity, there is also a lot of ink wasted in showing that the world today is far better than we had in the past and also that there have been many instances of social and moral progress in the last centuries. Some authors have even claimed that “we have made more progress over the last 100 years than in the first 100,000”. According to ‘our world in data’, some of the most relevant advances of humanity in the last centuries have to do with the reduction of poverty and/or inequality, better health and security, the decline of violence and war, and the development of democracy and institutional mechanisms to guarantee individual freedom and rights. Yet, there is a more concrete concern that our world faces nowadays, and requires a particularly detailed analysis. In a few words, the advance in information and communication technologies, the huge volume of people migration because of prevalent instances of global inequality, and the reality of an interconnected world that just mirrors an extensive history of massive human intergroup relations open the question about the feasibility of social and moral progress in the contexts of diverse, multicultural, and unequal societies. This makes it crucial to reflect not only on whether human societies may keep advancing on a path of social progress, but how this can be achieved by addressing the challenges of inequality and potential intergroup conflict. This concern closely relates to the further consolidation of democratic values and the achievement of a more generalized consideration of the equal moral value of human individuals far from group, ethnic, or collective distinctions. This vision of progress follows the moral convictions that have been considered right and worthy to be pursued by most ethical theories explored by philosophers and social scientists so far. This work aims to contribute to the study of the mechanisms and feasibility of social and moral progress grounded on the precept of human equality and is guided by the idea that social and moral progress in a plural world requires the accomplishment of a more democratic and tolerant society. These forms of progress have already been defined by philosophers Allen Buchanan and Russel Powell as inclusivist forms of moral progress. According to these authors, inclusivist moral progress is featured by the transformation of moral judgments, motivations, and norms guided by the rejection of “group-based restrictions on moral standing and moral status” (2018). The work of Buchanan and Powell is fundamental for the argumentation developed in this work since they have pioneered a more complex debate in the field of evolutionary social sciences and philosophical anthropology. In brief, these authors have inquired how human nature, conceptualized by the advances in evolutionary thinking and the empirical sciences, is related to our moral convictions and the possibilities that we have to establish certain forms of social and moral progress. The work of Buchanan and Powell contributes to the debate on moral progress by incorporating empirically-informed concepts and arguments. With this objective in mind, they develop their discussion around a generalized tension between exclusivist and inclusivist forms of moral progress. This tension revolves around the question of whether and to what extent human moral concerns, motivations, and norms, are limited or bounded by social identities, group thinking, or collective values. This question is at the center of this work. In other words, I aim to answer whether and to what extent the nature of our social and moral cognition hinders or enables the development of inclusivist forms of morality and moral progress. As I mentioned so far, the distinction between exclusivist and inclusivist forms of morality has a practical implication and facilitates the reflection on the mechanisms and feasibility of concrete forms of progress based on the precept of human equality, which is the road to progress that we should follow according to most ethical theories. The distinction between exclusivist and inclusivist morality is not used here as a form of summarizing highly divergent descriptive approaches to morality, but as a way to address the practical implications of morality research, particularly around the question of the feasibility of social forms of progress based on the precept of equality and tolerance. My objective then has less to do with offering a conceptualization of human morality or with the proposition of a new ethical perspective. Instead, I aim to identify, from an empirically informed perspective, what enables the achievement of egalitarian forms of social progress, to subsequently offer a normative reflection about what we should do if we want to accomplish such inclusivist forms of progress. This task is of great relevance, having in mind that some theoretical proposals on the matter have claimed that human prosocial behavior and morality are constrained by exclusivist fixed tendencies as a product of our evolutionary history. According to these views, human morality is a group-centered cognitive and behavioral expression that has severe limits in its scope and extent, which hinders in the end the emergence of inclusivist forms of moral concerns and behaviors. These claims align with the philosophical intuition about the ‘dissociation of empathy’, or the fact that human individuals tend to express empathy and sympathy preferably for members of their group whereas their empathic and moral concern and recognition for outgroup individuals tend to be reduced or eliminated in real-life social interactions. Multiple theorists have expressed, however, that these assumptions are wrong for empirical and philosophical reasons, which results in a serious challenge to the conception of human morality as exclusivist by nature. Furthermore, simple intuition and practical experience constantly show us that human individuals can develop and endorse a broad spectrum of moral considerations and adopt an arguably inclusivist stance concerning the kind of persons or agents that deserve moral concern. Moreover, and adopting a historical perspective, the expansion of cultural and commercial exchanges, the consolidation of democracy, the development of welfare states, or the emergence of institutions based on the concept of universal human rights, have partially driven human progress based on the impartial concern for the well-being of persons. These historical instances of cultural evolution and institutional design have shown that it is feasible to promote behaviors and attitudes grounded in impersonal prosocial and inclusivist principles. This optimistic perspective, however, still begs the question of the exact relationship between social, cultural, and historical contexts, and the emergence of certain behavioral expressions of inclusivist morality. This is crucial since a great number of human individuals around the world still do not make part of these instances of social progress, and some authors have suggested that such instances of social and moral progress are particularly favored by the contexts of the WEIRD world, that is the world of Western, Educated, Industrialized, Rich, and Democratic societies. Some of these approaches consider moral inclusivity a ‘luxury good’ and follow the ‘dependency thesis’ according to which the expression of moral inclusivity depends on the presence of very concrete material conditions that trigger inclusivist and impersonal prosocial tendencies that human beings are not able to express in threatening contexts without physical security. This thesis is problematic for various reasons and has led to incomplete explanations about the enabling and causal factors of inclusivist moral progress, as well as unsatisfactory suggestions about what we should do to foster the accomplishment of more generalized instances of progress based on inclusivist concerns. In an attempt to contribute to this debate, the main objective of this thesis is to offer an alternative proposal about the nature of human morality and a more detailed reflection on what we should do if we want to further accomplish such instances of progress. More precisely, this work adopts a particular developmental and constructivist vision of human morality to answer the question of how feasible it is to reach generalized forms of social progress based on the precepts of moral inclusivity. Furthermore, it offers some ideas about what are the most adequate and favorable conditions to foster such progress both at the individual and the collective level. At this point, a preliminary clarification of some starting points is necessary. In the first place, and contrary to what other authors have proposed when debating moral progress from an empirically-based approach, my perspective adopts a radical developmental and constructivist perspective, following particularly the conceptual and empirical ideas of the social-domain theory in moral psychology. From this perspective, morality is a domain of normative and social knowledge that develops and emerges in human interactions. Moral concerns, judgments, and norms are not only the result of the expression of innate adaptive intuitions, nor the product of social conformity and a simple process of mirroring the normativity that communities have established to organize their social life. Human individuals, instead, construct moral concerns and judgments during their situated interactions. More specifically, the constructivist tradition claims that we need to research how moral concerns, judgments, and reasons emerge in social interactions and how human beings construct the content of their moral knowledge in the first place. Based on these ideas, morality is defined here as the result of a constructive process through which human individuals, by the means of constant interactions on a background of mutual respect and recognition, develop evaluative concerns about how we ought to treat others, and how to ‘care’ and ‘respect’ others’ well-being, needs, and vulnerabilities. This developmental-constructivist theory of human psychology contributes to an alternative understanding of the origins of moral variability and informs a very particular normative stance about the most desirable contexts needed for the urgent accomplishment of inclusivist forms of morality in contemporary societies. This is so given that the very same definition of morality adopted presupposes the feature of inclusivity. The main objective of this work is then to argue, based on a developmental perspective, what are the most favorable conditions to foster the development of moral inclusivity and what we should do to accomplish concrete instances of moral progress that truly help us to overcome our most urgent moral challenges. The whole thesis is organized as follows. In part I, I show how received visions about human social evolution have informed conceptions of morality as an adaptive function evolved to solve the challenges of cooperative life. Based on these assumptions, some theories argue that human morality is limited by the boundaries of group thinking, and always obeys the mandates of collective interests and the will of the majority. However, this conception has problematic implications from a normative and ethical perspective. The aim of Chapter 1 is to present this introductory debate in detail. In chapter 2, I consider a relevant amount of scientific evidence that helps to consolidate a more optimistic and inclusivist perspective about the starting conditions of human prosocial behavior. Later, I will summarize some ideas offered to explain the possible evolutionary mechanisms that led to the consolidation of these inclusivist capacities. However, I will also show how evolutionary theories that share the same adaptationist foundations but initially seem relevant to explain the feasibility of moral inclusivity, result incomplete when considering the complexity of moral behavior and its ethical implications. Part II is devoted to presenting a developmental alternative to the adaptationist versions around the starting conditions of morality. In this section, I first summarize the epistemological, conceptual, and empirical basis of a constructivist perspective already proposed by several authors in the last decades. This is the goal of chapter 3. More precisely, I adopt the conceptualization of morality established by the social-domain theory school and clarify its conception of the situated development of moral concerns, motivations, and norms. All these ideas are essential for my argumentation on the feasibility of inclusivist moral progress offered later. Chapter 4 provides a more detailed idea of constructivist thinking about moral development, by analyzing one particular dimension: the development of moral concerns for fairness and the sense of justice in distributive dilemmas. In Part III, I assume a constructivist perspective on morality to contribute to the philosophy of moral progress. In particular, I discuss the implications of such a perspective for the conceptualization of human moral nature and discuss what are the most favorable conditions for moral inclusivity to emerge. Answering that question is of enormous relevance since favoring the transition of human societies towards more inclusivist forms of moral concern and behavior supposes a more generalized accomplishment of our most urgent moral convictions. Previous developmental or culturally-sensible attempts to explore this issue are already on the market. As mentioned before, most authors have approached the topic by situating the cultural evolution and development of (inclusivist) moral progress in the WEIRD world. For instance, some of these authors claim that very concrete material conditions (mostly present in the Western World) have been necessary for triggering inclusivist and impersonal prosocial tendencies that human beings are not able to express in threatening contexts without physical security. Despite their interest in explaining inclusivist morality and the feasibility of inclusivist forms of progress following a naturalistic and culturally situated approach, these theories are problematic for two main reasons. In the first place, most of the authors that explain moral progress tend to focus exclusively on the consolidation of liberal values in the Western world and the underlying adoption of laws, social-epistemic practices, and public narratives about tolerance and inclusivity, as unequivocal signs of inclusivist morality. Nevertheless, there is an enormous distance between the institutional and public support of inclusivist moral values or the construction of public images of tolerance and inclusivity, and the real materialization of impersonal moralities in situated social interactions. Secondly, the variability of human moral behavior is far bigger than most of the theories in moral psychology and moral progress tend to assume. Accordingly, inclusivist and exclusivist forms of morality may develop simultaneously in similar or divergent geographical and socio-ecological environments, including those with harsh conditions such as competition for scarce resources, potential intergroup conflict, and risks of disease transmission. In addition, harsh environmental conditions are usually present in almost all societies around the globe, and the presence of socio-ecological conditions such as physical security and prosperity, predominant in highly resourced populations, do not prevent the existence of exclusivist moral tendencies. My model explores a different perspective on the relationships between cultural, institutional, and historical factors, and the situated development of human morality. This supposes a clear distinction from previous approaches to the matter since it offers a different view on what we should do to pursue further instances of inclusivist social progress. In the fifth chapter, I first analyze the proposals of some defenders of the ‘dependency’ theory. The attention is focused on the ‘Evolutionary Developmental Model’ proposed by Buchanan and Powell (2018). Based on a critique of this approach, I will argue that to explain the evolution and development of human morality in its multiple manifestations, it is essential to put focus on social interactions. This also involves a different perspective on human-environment relations that in line with a constructivist worldview makes an innovative contribution to the philosophy of moral behavior and moral progress. Later, in the sixth chapter, I will define my alternative relational view of inclusivist morality and I will offer my view on how to establish favorable conditions that make inclusivist morality possible. Complementing the constructivist approach, my conception is based on the essential role of equality and individuality and on how moral inclusivity is favored if moral concerns do not develop driven by the accomplishment of group-centered, binding, and communitarian concerns and values. In brief, my relational model suggests that the accomplishment of moral inclusivity not only depends on the overall achievement of certain levels of physical security or economic prosperity. Instead, its development is favored by transforming the interactional contexts in which moral concerns towards autonomy and individuality emerge. In arguing so, I will need to start with a critique of contemporary situated and embodied approaches in ethics. Then, I will show how societies guided by the accomplishment of group-centered values of power, dominance, and relational inequality tend to express exclusivist moral behaviors, while individualistic societies tend to be more inclusivist. Starting from this diagnosis, my final attempt is then to reflect on which are the best conditions for the moral valuation of individuality to emerge and what we should do to promote the accomplishment of moral inclusivity at the societal level. (shrink)

The class \ of t rue p airing a lgebras is defined to be the class of relation algebras expanded with concrete set theoretical projection functions. The main results of the present paper is that neither the equational theory of \ nor the first order theory of \ are decidable. Moreover, we show that the set of all equations valid in \ is exactly on the \ level. We consider the class \ of the relation algebra reducts (...) of \ ’s, as well. We prove that the equational theory of \ is much simpler, namely, it is recursively enumerable. We also give motivation for our results and some connections to related work. (shrink)

In the film Sans Soliel, Chris Marker challenges received wisdoms with regard cinematic production of real worlds and real people. In Marker’s techniques, Jacques Rancière observes an intensely political, highly accessible, art form that leads to a theorisation of cinema for its democratic and educational functions. In this paper we take up Rancière’s interest in the democratic and educational functions of cinema through a reading of three films: Sans Soliel, Minority Report, and After Yang. Marker’s essayist (...) cinema produces an uncanny experience of anthropological irony, and a mode of rethinking imperialism, revealing stories of communities that typically do not get told. Spielberg’s film adaptation of Philip K. Dick’s story is a cautionary contemplation on the ethics of the future of a police force that has access to visions of the future. Kogonada’s poetic lens muses on what it is to be human, what it is to be a family, and what it is to be a child and a parent negotiating complexity, loss, and identity. Each film is of interest here for the openness with which they engage thinking about democracy and education. They are democratic and educational precisely because they do not tell us what to think about democracy and education. Each film at the same time provides insight into Rancière’s thinking about the functions of cinema in producing senses of politics. (shrink)

Researching the organization and management of international public affairs (IPA) in the then-new multinational enterprises (MNEs) started in the 1960s. At first, IPA studies kept fairly good pace with what was known about the MNEs' nonmarket environments, their structurings, and their processes. After 1980, a disconnect developed in our knowledge of these three interrelated topics. In particular, much of more recent IPA research (a) fails to reflect the true scope, real actors, and organizational location of the IPA function; (b) (...) remains focused on old issues (e.g., the hierarchical relationship between headquarters and subsidiaries); (c) is mired in complex statistical analyses of remote data; (d) uses relevant theories in rather marginal ways; and (e) overlooks the impact on IPA of such important developments as mergers, acquisitions, and divestments. Yet, investigators can stretch their research methodologies and refocus their studies on the organization and management of the two faces of public affairs—offensive and defensive—in the context of new nonmarket threats and opportunities. (shrink)