The paper discusses a solution to Kripke’s skeptical problem proposed by E.V. Borisov. It shows that this solution is based on the idea of “introspection2”, i.e. intuitive knowledge of meaning, which: a) is an essential part of a speech act, b) is given in our immediate experience and c) doesn’t form a source of empirical facts. The author of the paper admits the significance of the proposed idea for the discussion of the skeptical problem. Nevertheless, he argues that: 1) as (...) a point of the discussion the idea of introspection2 needs to be established more extensively; 2) this idea reinforces not a straight solution of the problem, but skeptical. (shrink)

Notions of k-asimulation and asimulation are introduced as asymmetric counterparts to k-bisimulation and bisimulation, respectively. It is proved that a first-order formula is equivalent to a standard translation of an intuitionistic propositional formula iff it is invariant with respect to k-asimulations for some k, and then that a first-order formula is equivalent to a standard translation of an intuitionistic propositional formula iff it is invariant with respect to asimulations. Finally, it is proved that a first-order formula is equivalent to a (...) standard translation of an intuitionistic propositional formula over the class of intuitionistic Kripke models iff it is invariant with respect to asimulations between intuitionistic models. (shrink)

The article shows that prior to the debate with the Monothelites, Maximus the Confessor followed the Christian tradition going back to Gregory of Nyssa in recognizing the presence of προαίρεσις in Christ and the saints. Later during the debate, Maximus declined to apply προαίρεσις to Christ and started to speak about the deactivation of προαίρεσις in the saints in the state of deification. Maximus was the first Orthodox author who distinguished deliberate choice and natural will, and defended the presence of (...) natural will in Christ according to His humanity. At the same time, the opposition of desire and deliberate choice can be found in some Neoplatonists, such as Iamblichus, Proclus, and Philoponus. Iamblichus and Proclus rejected the presence of προαίρεσις in the gods and god-like humans, admitting only the presence of βούλησις - the desire for the Good. Thus, the evolution of the doctrine of Maximus the Confessor, regarding the application of προαίρε- σις to Christ and the saints, finds a parallel doctrine in Neoplatonism. (shrink)

We introduce a basic intuitionistic conditional logic \(\textsf{IntCK}\) that we show to be complete both relative to a special type of Kripke models and relative to a standard translation into first-order intuitionistic logic. We show that \(\textsf{IntCK}\) stands in a very natural relation to other similar logics, like the basic classical conditional logic \(\textsf{CK}\) and the basic intuitionistic modal logic \(\textsf{IK}\). As for the basic intuitionistic conditional logic \(\textsf{ICK}\) proposed in Weiss (_Journal of Philosophical Logic_, _48_, 447–469, 2019 ), \(\textsf{IntCK}\) (...) extends its language with a diamond-like conditional modality \(\Diamond \hspace{-4.0pt}\rightarrow \), but its ( \(\Diamond \hspace{-4.0pt}\rightarrow \) )-free fragment is also a proper extension of \(\textsf{ICK}\). We briefly discuss the resulting gap between the two candidate systems of basic intuitionistic conditional logic and the possible pros and cons of both candidates. (shrink)

In this paper we consider logical inference as an activity that results in proofs and hence produces knowledge. We suggest to merge the semantical analysis of deliberatively seeing-to-it-that from stit theory and the semantics of the epistemic logic with justification from. The general idea is to understand proving that A as seeing to it that a proof of A is available. We introduce a semantics of various notions of proving as an activity and present a number of valid principles that (...) relate the various notions of proving to each other and to notions of justified knowledge, implicit knowledge, and possibility. We also point out and comment upon certain principles our semantics fails to validate. (shrink)

Summing up the ideas expressed in the most influential articles on the semantic halo of the Russian trochaic pentameter, scholars tend to avoid one particularly tricky question: how many units – and what kind of units – are needed to detect extra layers of meaning in a particular text? While the article of Kiril Taranovsky “О взаимоотношении стихотворного ритма и тематики” had implied that the source of these meanings (e.g. the dynamic theme of the journey) should be sought in a (...) line starting from the 3- to 4-syllable structure, incorporating a verb of motion and an anapestic anacrusis (Выхожу [verb of motion, last syllable stressed] один я на дорогу), later research objected to this principle as an oversimplification. At the same time two later contributions on the subject (Kirill Vishnevsky’s “Экспрессивный ореол пятистопного хорея” and Mikhail Gasparov’s “The semantic halo of the Russian trochaic pentameter: Thirty years of the problem”) proposed the idea of operating with whole texts as potential sources of meanings, thus calling into question a micro-level approach to the origin of the phenomenon. In my article I propose an empirical model that makes it possible to evaluate some limitations of both practices: I concentrate on some quasi-trochaic pentameters culled from the prose text of Подвиг (Glory) by Vladimir Nabokov (Sirin), and examine these quasi-verse incidents in the framework of both approaches. (shrink)

In addition to double‐ and single‐strand DNA breaks and isolated base modifications, ionizing radiation induces clustered DNA damage, which contains two or more lesions closely spaced within about two helical turns on opposite DNA strands. Post‐irradiation repair of single‐base lesions is routinely performed by base excision repair and a DNA strand break is involved as an intermediate. Simultaneous processing of lesions on opposite DNA strands may generate double‐strand DNA breaks and enhance nonhomologous end joining, which frequently results in the formation (...) of deletions. Recent studies support the possibility that the mechanism of base excision repair contributes to genome stability by diminishing the formation of double‐strand DNA breaks during processing of clustered lesions. BioEssays 23:745–749, 2001. © 2001 John Wiley & Sons, Inc. (shrink)

Our thinking is still the captive of the dichotomy “national/ international.” The reaction to nationalism takes the form of an abstract internationalism, and reaction to internationalism leads to the rebirth of nationalism. However, this dichotomy was only true (and that relatively) in 19th century Europe, or at the latest, at the beginning of the twentieth century, when subnational cultures seemed on the way to disappearing, and everything European was considered “universal” (two hypotheses that the facts prove to be untrue). As (...) H. Frey observes, “Today, the decline or decadence of the West is part of the contemporary view of the world, like the electron or the dinosaur.” The linear outline of progress, with Europe at the head, did not withstand the test of the First World War. The year 1918 marked the beginning of the end of Europeanism. Since then, we have begun to speak of “areas of civilization” (Splengler), “civilizations” (Toynbee), “cultural coalitions” (Lévi-Strauss). The existence of “areas of civilization” (regions) is commonly admitted today; it has entered journalistic language and even the structure of regional commissions and agencies of the United Nations (Europe, Near East, Southern Asia, South-east Asia, and the Far East). New communities have inserted themselves between nations and humanity. What do they represent? Are they something unique, or are they divided into a certain number of types in opposition to each other because of some characteristic? And in what way have they modified our view of universal history? (shrink)

In this article we show that bi-intuitionistic predicate logic lacks the Craig Interpolation Property. We proceed by adapting the counterexample given by Mints, Olkhovikov and Urquhart for intuitionistic predicate logic with constant domains [13]. More precisely, we show that there is a valid implication $\phi \rightarrow \psi $ with no interpolant. Importantly, this result does not contradict the unfortunately named ‘Craig interpolation’ theorem established by Rauszer in [24] since that article is about the property more correctly named ‘deductive interpolation’ (see (...) Galatos, Jipsen, Kowalski and Ono’s use of this term in [5]) for global consequence. Given that the deduction theorem fails for bi-intuitionistic logic with global consequence, the two formulations of the property are not equivalent. (shrink)

The expression “the invisible hand of the market” (from the Adam Smith’s “Wealth of Nations”) sometimes acquires in modern ecomomical and everyday journalism the most unexpected overtones, like “why “the invisible hand of the market» totally disregard writer”? In the area of the scientific economic thinking “the «invisible hand” is interpreted as the objective market mechanism which coordinates the decisions of buyers and sellers. The attempts to analyze the epistemological status of “the invisible hand” are quite rare, especially in the (...) modality of the formation of the Economics as a science. Meanwhile, as it is shown in the article, there is reason to see here the first fundamental step to the origination of the scientific research program of the economic science in the strict sense. The author assumes that phenomena like “the invisible hand of the market” is comparable to what Thomas Kuhn designates as “the metaphysical parts of paradigms”, i. e. basic ontological models, which define peculiar scientific vision of the reality under research. The main difficulty for the scientific rationality in the attempts of generating scientific knowledge about society, was to represent the corresponding processes of human activity in the form of objective reality, which is required by the basic ideological attitude of the science as such. (shrink)

Cut reductions are defined for a Kripke-style formulation of modal logic in terms of indexed systems of sequents. A detailed proof of the normalization (cutelimination) theorem is given. The proof is uniform for the propositional modal systems with all combinations of reflexivity, symmetry and transitivity for the accessibility relation. Some new transformations of derivations (compared to standard sequent formulations) are needed, and some additional properties are to be checked. The display formulations [1] of the systems considered can be presented as (...) encodings of Kripke-style formulations. (shrink)

We put together several observations on constructive negation. First, Russell anticipated intuitionistic logic by clearly distinguishing propositional principles implying the law of the excluded middle from remaining valid principles. He stated what was later called Peirce’s law. This is important in connection with the method used later by Heyting for developing his axiomatization of intuitionistic logic. Second, a work by Dragalin and his students provides easy embeddings of classical arithmetic and analysis into intuitionistic negationless systems. In the last section, we (...) present in some detail a stepwise construction of negation which essentially concluded the formation of the logical base of the Russian constructivist school. Markov’s own proof of Markov’s principle (different from later proofs by Friedman and Dragalin) is described. (shrink)

The article examines the main meanings of the concept of “social philosophy” and reveals three such meanings. First, social philosophy presents the views of a particular thinker on society and its nature. Second, social philosophy is the study of the most general laws of development of nature and society. Third, social philosophy is a value- worldview analysis of the most urgent and complex problems of social development, including philosophical criticism of the prevailing ideas in this society and the search for (...) constructive value alternatives. The author adheres to the third approach to understanding the meaning of social philosophy and gives two examples of socio-philosophical work: 1) analysis of the problem of labor in Russia in the context of the dominance of the theory of ‘catching up’ modernization; 2) analysis of the problem of democracy in the context of prevailing ideas about the inevitability of political authoritarianism as the main path of development of Russian civilization. (shrink)

This article will formulate an explanatory model in which all the specifics of the controversy between Rome and Constantinople in the schism of 1054 will be considered in theological and ecclesiastical-political terms. Thus, both the complexity of the historical context and the diversity of the motives of its protagonists will be taken into account. In a first step, the current state of research on the events of 1054 will be presented, before confronting it with open questions in a second step. (...) They are derived partly from the historical context, partly from the ambivalent information conveyed by Latin and Greek sources. The latter entails several source-critical problems, but thereby offers a chance to pose new questions to „old“ sources. Based on these open questions, the sources will be re-read and re-interpreted in terms of determining the course of events in 1054 and the motives of the protagonists of the 1054 schism. (shrink)

Ackermann proved termination for a special order of reductions in Hilbert's epsilon substitution method for the first order arithmetic. We establish termination for arbitrary order of reductions.

Mathematical game theory has been embraced by a variety of scholars: social scientists, biologists, linguists, and now, increasingly, logicians. This volume illustrates the recent advances of game theory in the field. Logicians benefit from things like game theory's ability to explain informational independence between connectives; meanwhile, game theorists have even begun to benefit from logical epistemic analyses of game states. In concert with such pioneering work, this volume also present surprising developments in classical fields, including first-order logic and set theory.

In Part I of this paper we presented a Hilbert-style system $\Sigma _D$ axiomatizing stit logic of justification announcements interpreted over models with discrete time structure. In this part, we prove three frame definability results for $\Sigma _D$ using three different definitions of a frame plus another version of completeness result.

Justification stit logic is a logic for reasoning about proving as a certain kind of activity, namely seeing to it that a proof is publicly available. It merges the semantical analysis of deliberatively seeing-to-it-that from stit theory and the semantics of the epistemic logic with justification from. In this paper, after recalling its language and basic semantical definitions, various ramifications and refinements of justification stit logic are presented and discussed: imposing natural restrictions upon the class of models under consideration, making (...) use of modalities that assert the existence of a proof, introducing a variant of justification stit logic based on a semantics introduced by M. Fitting, and adding variable-binding operators and extending the set of proof polynomials. (shrink)

The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.

We consider the propositional logic equipped withChellas stitoperators for a finite set of individual agents plus the historical necessity modality. We settle the question of whether such a logic enjoys restricted interpolation property, which requires the existence of an interpolant only in cases where the consequence contains no Chellas stit operators occurring in the premise. We show that if action operators count as logical symbols, then such a logic has restricted interpolation property iff the number of agents does not exceed (...) three. On the other hand, if action operators are considered to be nonlogical symbols, then the restricted interpolation fails for any number of agents exceeding one. It follows that unrestricted Craig interpolation also fails for almost all versions of stit logic. (shrink)

Dynamic topological logic provides a context for studying the confluence of the topological semantics for S4, topological dynamics, and temporal logic. The topological semantics for S4 is based on topological spaces rather than Kripke frames. In this semantics, □ is interpreted as topological interior. Thus S4 can be understood as the logic of topological spaces, and □ can be understood as a topological modality. Topological dynamics studies the asymptotic properties of continuous maps on topological spaces. Let a dynamic topological system (...) be a topological space X together with a continuous function f. f can be thought of in temporal terms, moving the points of the topological space from one moment to the next. Dynamic topological logics are the logics of dynamic topological systems, just as S4 is the logic of topological spaces. Dynamic topological logics are defined for a trimodal language with an S4-ish topological modality □ , and two temporal modalities, ○ and * , both interpreted using the continuous function f. In particular, ○ expresses f’s action on X from one moment to the next, and * expresses the asymptotic behaviour of f. (shrink)

We present a survey of proof theory in the USSR beginning with the paper by Kolmogorov [1925] and ending (mostly) in 1969; the last two sections deal with work done by A. A. Markov and N. A. Shanin in the early seventies, providing a kind of effective interpretation of negative arithmetic formulas. The material is arranged in chronological order and subdivided according to topics of investigation. The exposition is more detailed when the work is little known in the West or (...) the original presentation can be improved using notions or results which appeared later. This includes such topics as Novikov's cut-elimination method (regular formulas) and Maslov's inverse method for the predicate logic. (shrink)

This paper presents a formulation and completeness proof of the resolution-type calculi for the first order fragment of Girard's linear logic by a general method which provides the general scheme of transforming a cutfree Gentzen-type system into a resolution type system, preserving the structure of derivations. This is a direct extension of the method introduced by Maslov for classical predicate logic. Ideas of the author and Zamov are used to avoid skolomization. Completeness of strategies is first established for the Gentzen-type (...) system, and then transferred to resolution. The propositional resolution system was implemented by T. Tammet. (shrink)

This paper considers the computational complexity of the disjunction and existential properties of intuitionistic logic. We prove that the disjunction property holds feasibly for intuitionistic propositional logic; i.e., from a proof of A v B, a proof either of A or of B can be found in polynomial time. For intuitionistic predicate logic, we prove superexponential lower bounds for the disjunction property, namely, there is a superexponential lower bound on the time required, given a proof of A v B, to (...) produce one of A and B which is true. In addition, there is superexponential lower bound on the size of terms which fulfill the existential property of intuitionistic predicate logic. There are superexponential upper bounds for these problems, so the lower bounds are essentially optimal. (shrink)

The Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega $$\end{document}-rule was introduced by W. Buchholz to give an ordinal-free proof of cut-elimination for a subsystem of analysis with Π11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Pi ^{1}_{1}$$\end{document}-comprehension. W. Buchholz’s proof provides cut-free derivations by familiar rules only for arithmetical sequents. When second-order quantifiers are present, they are introduced by the Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega $$\end{document}-rule and some residual cuts are not (...) eliminated. In the present paper, we introduce an extension of the Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega $$\end{document}-rule and prove the complete cut-elimination by the same method as W. Buchholz: any derivation of arbitrary sequent is transformed into its cut-free derivation by the standard rules. In fact we treat the subsystem of Π11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Pi ^{1}_{1}$$\end{document}-CA that W. Buchholz used for his explanation of G. Takeuti’s finite reductions. Extension to full Π11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Pi ^{1}_{1}$$\end{document}-CA is planned for another paper. (shrink)

La présente étude constitue une publication préliminaire des monnaies trouvées dans les fouilles de Pallantion. Dans le cadre du projet de « Construction du réservoir du lac Taka d’Arcadie » ont été localisés et exhumés, en 2008‑2009, dans la ville basse de Pallantion, à l’Est de la colline de Saint‑Jean, sur un plateau de 500 m de long, les restes du tissu urbain de la ville, du mur d’enceinte antique et d’une route dallée. Les monnaies provenant des sondages d’urgence de (...) la ville fortifiée d’époques classique et hellénistique enrichissent les données recueillies jadis par les recherches de l’École italienne, avec des monnaies provenant de villes puissantes à l’époque classique, comme Corinthe, Sicyone, Phlionte, Sparte ou Élis. Pour l’époque romaine, des frappes au nom de Licinius, de Constantin le Grand, de Valens et de Valentinien II, confirment la poursuite de l’occupation de cette importante ville d’Arcadie à l’époque romaine. Un ensemble de petits bronzes de l’époque de Justinien I et Justin II peut être mis en rapport avec l’invasion et l’occupation du pays par les tribus slaves à la fin du vie s. apr. J.‑C. Pour finir, on propose de considérer le trident qui apparaît sur les monnaies émises par cette ville d’Arcadie à l’époque classique comme un symbole parlant qui relie le nom de Pallantion au verbe πάλλω qui signifie « brandir » ou « agiter vigoureusement ». L’hypothèse s’appuie également sur le fait que le trident apparaît aussi sur des timbres de tuile provenant d’édifices sacrés ou profanes avec l’inscription ΔΑΜΟ[ΣΙΟΣ]. (shrink)

This volume contains several invited papers as well as a selection of the other contributions. The conference was the first meeting of the Soviet logicians interested in com- puter science with their Western counterparts. The papers report new results and techniques in applications of deductive systems, deductive program synthesis and analysis, computer experiments in logic related fields, theorem proving and logic programming. It provides access to intensive work on computer logic both in the USSR and in Western countries.

Ideas of previous constructions are combined into a short proof of topological completeness of modal logic S4 first for rational numbers and after that for real numbers in the interval.

The paper promotes a cultural sociological analysis of one of the most significant and hard-to-explain events in American history when the initial act of breaking and entering into the Democratic Party headquarters at the Watergate Hotel first didn't attract any substantial attention of contemporaries but later initiated a widespread political crisis. J. Alexander considers the dynamics, mechanisms and consequences of the event and its public resonance, building an explanatory model based on his cultural sociological theory. This model allows to reconstruct (...) in detail the development and maintenance of the social consensus at the different levels of cultural structures and to explain its connection to the main elements of social and political context, public rituals and performances. (shrink)

Freud's legacy deriving from his work The project for a scientific psychology (1895) could give a new impetus to the dialogue between psychoanalysis and neurosciences. A rapproachment phase is warrented. Based on the work of psychoanalysts who are themselves neuroscientists (such as Mauro Mancia, Martha Koukkou and Harold Shevrin) or have a long term dialogue with neuroscientists (Arnold Modell), three points of epistemological congruence are described: dualism is no longer a satisfactory solutioncautions for the centrality of interpretation (hermeneutics)the self-criticism of (...) neuroscientists. (shrink)

A non-effective cut-elimination proof for modal mu-calculus has been given by G. Jäger, M. Kretz and T. Studer. Later an effective proof has been given for a subsystem M 1 with non-iterated fixpoints and positive endsequents. Using a new device we give an effective cut-elimination proof for M 1 without restriction to positive sequents.

Within the scope of the POPULISMUS research project, we have engaged in a methodological cross-fertilization between Essex School-inspired methods of analysis and computer-assisted text analysis. In this chapter, emphasis is placed on the Greek case and the material analyzed involves newspaper articles from the 2014–5 period. In particular, the analysis focuses on the antagonistic language games developed around representations of ‘the people’ and ‘populism’. Highlighting the need to study anti-populism together with populism, something that has not attracted much attention in (...) the relevant bibliography, and focusing on their mutual constitution from a discourse-theoretical as well as lexicometric perspective, we articulate a comprehensive analysis of the populist and anti-populist press in Greece, with broader implications for populism research globally. (shrink)

The purpose of the article is to substantiate the main theoretical and methodological provisions of museology as a humanitarian science. Its basic concepts are formulated from idealistic positions, its methodology is defined. As an object, the ideas of a person who creates a museum reality to achieve influence on the consciousness of other people are considered. The idea of a particular museum, realized in objective reality, is defined as the subject. The subject of museology is also the process of realization (...) of ideas – the functioning of museum reality and the process of its perception by visitors. The purpose of the museum is to make certain changes in the consciousness and attitude of another person – a visitor. The methodology of museology as a humanitarian science is based on the method of understanding, which provides comprehension of the ideas underlying the museum. Methods play a special role: communicative and construction. The goals of the museum determine its functions, the most important is the communicative one, it is she who realizes the main goal of the museum – to convey ideas and feelings from the museum employee to the visitor. The ways to achieve the goal may change with changing attitudes in society, while the museums themselves and their functions change. The main factor determining the role and social significance of museums is a person's interest in them, which manifests itself when the ideas embedded in their foundation correspond to the main ideological ideas prevailing in society and help people solve their vital problems. A museum should be relevant only when it plays an important role in the life of society. The next stage in the development of museology as a humanitarian science is its approbation in the course of solving scientific and practical tasks facing a museum employee. (shrink)

The use of patient restrictions (e.g. involuntary admission, seclusion, restraint) is a complex ethical dilemma in psychiatric care. The present study explored nurses’ (n = 22) and physicians’ (n = 5) perceptions of what actually happens when an aggressive behaviour episode occurs on the ward and what alternatives to seclusion and restraint are actually in use as normal standard practice in acute psychiatric care. The data were collected by focus group interviews and analysed by inductive content analysis. The participants believed (...) that the decision-making process for managing patients’ aggressive behaviour contains some in-built ethical dilemmas. They thought that patients’ subjective perspective received little attention. Nevertheless, the staff proposed and appeared to use a number of alternatives to minimize or replace the use of seclusion and restraint. Medical and nursing staff need to be encouraged and taught to: (1) tune in more deeply to reasons for patients’ aggressive behaviour; and (2) use alternatives to seclusion and restraint in order to humanize patient care to a greater extent. (shrink)

The completeness of the modal logic S4 for all topological spaces as well as for the real line , the n-dimensional Euclidean space and the segment etc. was proved by McKinsey and Tarski in 1944. Several simplified proofs contain gaps. A new proof presented here combines the ideas published later by G. Mints and M. Aiello, J. van Benthem, G. Bezhanishvili with a further simplification. The proof strategy is to embed a finite rooted Kripke structure for S4 into a subspace (...) of the Cantor space which in turn encodes . This provides an open and continuous map from onto the topological space corresponding to . The completeness follows as S4 is complete with respect to the class of all finite rooted Kripke structures. (shrink)

We formulate a Hilbert-style axiomatic system and a tableau calculus for the STIT-based logic of imagination recently proposed in Wansing. Completeness of the axiom system is shown by the method of canonical models; completeness of the tableau system is also shown by using standard methods.

The 1996 European Summer Meeting of the Association of Symbolic Logic was held held the University of the Basque Country, at Donostia (San Se bastian) Spain, on July 9-15, 1996. It was organised by the Institute for Logic, Cognition, Language and Information (ILCLI) and the Department of Logic and Philosophy of Sciences of the University of the Basque Coun try. It was supported by: the University of Pais Vasco/Euskal Herriko Unib ertsitatea, the Ministerio de Education y Ciencia (DGCYT), Hezkuntza Saila (...) (Eusko Jaurlaritza), Gipuzkoako Foru Aldundia, and Kuxta Fun dazioa. The main topics of the meeting were Model Theory, Proof Theory, Re cursion and Complexity Theory, Models of Arithmetic, Logic for Artifi cial Intelligence, Formal Semantics of Natural Language and Philosophy of Contemporary Logic. The Program Committee consisted of K. Ambos Spies (Heidelberg), J.L. Balcazar (Barcelona), J.E. Fenstad (Oslo), D. Israel (Stanford), H. Kamp (Stuttgart), R. Kaye (Birmingham), J.M. Larrazabal (San Sebastian), D. Lascar (Paris, chairman), A. Marcja (Firenze), G. Mints (Stanford), M. Otero (Madrid), S. Ronchi della Rocca (Torino), K. Segerberg (Uppsala) and L. Vega (Madrid). The organizing Committee consisted of X. Arrazola (San Sebastian), A. Arrieta (San Sebastian), R. Beneyeto (Valencia), B. Carrascal (San Se bastian), K. Korta (San Sebastian), J.M. Larrazabal (San Sebastian, chair man), J.C. Martinez (Barcelona), J.M. Mendez (Salamanca), F. Migura (Victoria) and J. Perez (Victoria). (shrink)

Summary The study examined the relation between possible selves, academic performance, motivation, self?esteem and persistence on task. The assumption was that envisioning a desired end?state produces information processing favouring the desired state and, as a consequence, the action seems more likely and people are able to construct more efficient plans. We hypothesized that academic performance is best for subjects who are able to produce well?elaborated, vivid pictures of future selves. The sample consisted of 289 students, 14 and 15 years old, (...) of both sexes. The statistical analysis revealed that those who endorsed specific, elaborated positive selves outperformed the other groups in academic achievement. There was also indication that this group of students showed more persistence on task. The results are discussed in terms of their importance for the motivational role of possible selves in achievement situations. (shrink)

The article analyzes the features of three main models of the welfare state: German, Northern European, and Anglo-Saxon. The author turns to the analysis of these models, first, because the problem of the welfare state in the world is again coming to the fore, and secondly, because social development in the most developed countries, in the author’s opinion, in the future will be largely determined by the values and behavioral models that are embedded in the three main versions of the (...) social state in Europe. From the author’s point of view, the key features of the European social model, which combines these three versions, are respect for rights and human dignity, the ideas of equality and solidarity, the ideas of social and political compromise, and the choice of an evolutionary path of development. According to the author, these features are the main difference between the European model and what characterizes the political culture of Russia with its maximalism and tendency to extremes. The author believes that the social experience of Europe is something that needs to be addressed today in Russian conditions and that can be extremely valuable for us. At the same time, as shown in the article, the welfare state in Europe has important country features. The German model is characterized by an emphasis on maintaining the socio-economic status of the individual – this is a conservative model. The Northern European model is based on the principles of universal equality and universalism – it is a social-democratic model. And the Anglo-Saxon model, based on the low role of the state, on the great importance of civil society, is a liberal model. Nevertheless, despite significant differences, as shown in the article, all these models are characterized by the desire to implement compromise principles, to find a “Golden mean,” which makes them highly effective. (shrink)

Default logic is computationally expensive. One of the most promising ways of easing this problem and developing powerful implementations is to split a default theory into smaller parts and compute extensions in a modular, local way. This paper compares two recent approaches, Turner's splitting and Cholewinski's stratification. It shows that the approaches are closely related – in fact the former can be viewed as a special case of the latter.

S4C is a logic of continuous transformations of a topological space. Cut elimination for it requires new kind of rules and new kinds of reductions.