Digital communication has generated forms of written speech that may deviate from standard ones, such as Greeklish (a Latin-alphabet-based script) vs. Greek. The question of interest is how different orthographic representations of the same referent (e.g. petaloyda, “butterfly”, in Greeklish vs. πϵταλούδα “butterfly” in Greek) may influence word processing, particularly visual word recognition and access to affective connotations. 120 Greek native speakers were tested on a lexical decision task, in which script (Greeklish vs. Greek) and valence (positive vs. negative (...) vs. neutral) were manipulated within participants. Words were matched for word class, frequency, concreteness, length, number of syllables and orthographic neighbourhood. Emotional words differed from neutral ones in valence and arousal. Results yielded faster response times for words written in the standard script (Greek) than the non-standard script (Greeklish). Moreover, regardless of script, response times were negatively correlated with the words’ valence, with slowest responses for negative words and fastest for positive ones, suggesting that positive content accelerates lexical access, whereas negative content slows it down. To sum up, although script type was found to affect word recognition, activation of and access to emotional content seemed to resist non-standard characteristics of visual word processing. (shrink)

This paper presents an analysis of the sorites paradox for collective nouns and gradable adjectives within the framework of classical logic. The paradox is explained by distinguishing between qualitative and quantitative representations. This distinction is formally represented by the use of a different mathematical model for each type of representation. Quantitative representations induce Archimedean models, but qualitative representations induce non-Archimedean models. By using a non-standard model of \ called \, which contains infinite and infinitesimal numbers, the two (...) paradoxes are shown to have distinct structures. The sorites paradox for collective nouns arises from the use of infinite numbers, whereas the sorites paradox for gradable adjectives arises from the use of infinitesimal numbers. Each paradox can be traced to a different source of vagueness. The sorites paradox for collective nouns is caused by \, and the sorites paradox for gradable adjectives is caused by \ \. If correct, this analysis implies that infinite and infinitesimal numbers are cognitively real, and that they play a role in the semantic interpretation of natural language. (shrink)

Many philosophers have claimed that extensive or additive measurement is incompatible with the existence of "higher values", any amount of which is better than any amount of some other value. In this paper, it is shown that higher values can be incorporated in a non-standard model of extensive measurement, with values represented by sets of ordered pairs of real numbers, rather than by single reals. The suggested model is mathematically fairly simple, and it applies to structures including negative as well (...) as positive values. (shrink)

Many scientific models are non-representational in that they refer to merely possible processes, background conditions and results. The paper shows how such non-representational models can be appraised, beyond the weak role that they might play as heuristic tools. Using conceptual distinctions from the discussion of how-possibly explanations, six types of models are distinguished by their modal qualities of their background conditions, model processes and model results. For each of these types, an actual model example – drawn from economics, biology, psychology (...) or sociology – is discussed. For each case, contexts and purposes are identified in which the use of such a model offers a genuine opportunity to learn – i.e. justifies changing one’s confidence in a hypothesis about the world. These cases then offer novel justifications for modelling practices that fall between the cracks of standard representational accounts of models. (shrink)

Decision problems are non-exhaustive and selective representations that raise a number of philosophical issues. Framing effects are a case in point: Differentways of framing or representing a particular decision situation may lead to different choices, in violation of the Extensionality principle. Extensionality stipulates that different descriptions of the same outcome or option should lead to identical evaluations and choices. This dissertation examines what constitutes a correct representation of a decision situation for bounded agents. Taking a Moderate Humean perspective on (...) rationality, I argue that the literature does not offer satisfactory standards of representation and fails to address a series of selection problems such as the ones raised by framing effects. Instead, I offer an instrumental account whereby agents represent decision situations in a way to achieve the ends they care about. I examine two interpretations of irrational framing effects — as Extensionality violation and as unstable evaluation. I assess both principles and reject these two interpretations. Instead, I introduce the notion of evaluatively equivalent decision situations, and argue that illegitimate framing effects are inconsistent choices across evaluatively equivalent decision situations. The phenomenon illustrates one of the problems of selection that arise from assessing the rationality of decision-theoretic representations. I offer an alternative instrumental account of representation based on differences that the agent cares about, acknowledging that decision problems are partial, constructed, and value-driven representations. (shrink)

The standard opinion is that the force of the constitution hinges on the fact that it is willingly endorsed by the people or, at least representative of the people. This Article challenges this view. More specifically, I differentiate between two types of legitimation: representational legitimation and non-representational or reason-based legitimation. While representational legitimation rests on the fact that the constitution is representative of who the people are or what they want, reason-based constitutions are based on the judgement that the constitution (...) is just or, at least grounded in reason. I also show that some of the puzzles in constitutional theory can be resolved by acknowledging the significance of the latter type of legitimation. For instance, I illustrate that constitutions that were not adopted freely by the nations and could not have been characterized as representative of the people such as the German Constitution can still be legitimate. To put it provocatively: the legitimation of a constitution need not rest on the conviction that it represents the people whom it governs; it may simply rest on the belief that it is a good or just constitution. Representational legitimacy is only one form of legitimacy but not the only one. (shrink)

In this paper, we study three representations of lattices by means of a set with a binary relation of compatibility in the tradition of Ploščica. The standard representations of complete ortholattices and complete perfect Heyting algebras drop out as special cases of the first representation, while the second covers arbitrary complete lattices, as well as complete lattices equipped with a negation we call a protocomplementation. The third topological representation is a variant of that of Craig, Haviar, and Priestley. (...) We then extend each of the three representations to lattices with a multiplicative unary modality; the representing structures, like so-called graph-based frames, add a second relation of accessibility interacting with compatibility. The three representations generalize possibility semantics for classical modal logics to non-classical modal logics, motivated by a recent application of modal orthologic to natural language semantics. (shrink)

Colombo (Phenomenology and the Cognitive Sciences, 2012) argues that we have compelling reasons to posit neural representations because doing so yields unique explanatory purchase in central cases of social norm compliance. We aim to show that there is no positive substance to Colombo’s plea—nothing that ought to move us to endorse representationalism in this domain, on any level. We point out that exposing the vices of the phenomenological arguments against representationalism does not, on its own, advance the case for (...) representationalism one inch—beyond establishing its mere possibility. We criticize the continual confounding of constitutive and explanatory claims and the lack of recognition of a Hard Problem of having to provide a naturalistic account of content, coupled with an inability to face up to it. We point at the inadequacy of various deflationary moves that end up driving representationalists towards the idea of neural representations with non-standard contents or without content altogether, both of which either render neural representationalism unfit for purpose or vacuous. Referring to possibilities for neural manipulation and control, or to established scientific practice does not help representationalism either. (shrink)

This paper is an attempt to convince anti-realists that their correct intuitions against the metaphysical inflationism derived from some versions of mathematical realism do not force them to embrace non-standard, epistemic approaches to truth and existence. It is also an attempt to convince mathematical realists that they do not need to implement their perfectly sound and judicious intuitions with the anti-intuitive developments that render full-blown mathematical realism into a view which even Gödel considered objectionable. I will argue for the following (...) two theses: that realism, in its standard characterization, is our default position, a position in agreement with our pre-theoretical intuitions and with the results of our best semantic theories, and that most of the metaphysical qualms usually related to it depends on a poor understanding of truth and existence as higher-order concepts. (shrink)

This paper investigates how "representation" is actually used in some areas in cognitive neuroscience. It is argued that recent philosophy has largely ignored an important kind of representation that differs in interesting ways from the representations that are standardly recognized in philosophy of mind. This overlooked kind of representation does not represent by having intentional contents; rather members of the kind represent by displaying or instantiating features. The investigation is not simply an ethnographic study of the discourse of neuroscientists. (...) If there are indeed two different kinds of representations, and the non-standard ones are the ones referred to in some areas of cognitive neuroscience, then we will have to give up the idea that appealing to inner representations with intentional contents is the defining distinction between cognitive neuroscience and behaviorist psychology (Montgomery, 1995). Further, if the conclusions of this paper are correct, many general accounts of how neural states represent are either false or theoretically ill-motivated. (shrink)

Formal ontologies are nowadays widely considered a standard tool for knowledge representation and reasoning in the Semantic Web. In this context, they are expected to play an important role in helping automated processes to access information. Namely: they are expected to provide a formal structure able to explicate the relationships between different concepts/terms, thus allowing intelligent agents to interpret, correctly, the semantics of the web resources improving the performances of the search technologies. Here we take into account a problem regarding (...) Knowledge Representation in general, and ontology based representations in particular; namely: the fact that knowledge modeling seems to be constrained between conflicting requirements, such as compositionality, on the one hand and the need to represent prototypical information on the other. In particular, most common sense concepts seem not to be captured by the stringent semantics expressed by such formalisms as, for example, Description Logics (which are the formalisms on which the ontology languages have been built). The aim of this work is to analyse this problem, suggesting a possible solution suitable for formal ontologies and semantic web representations. The questions guiding this research, in fact, have been: is it possible to provide a formal representational framework which, for the same concept, combines both the classical modelling view (accounting for compositional information) and defeasible, prototypical knowledge ? Is it possible to propose a modelling architecture able to provide different type of reasoning (e.g. classical deductive reasoning for the compositional component and a non monotonic reasoning for the prototypical one)? We suggest a possible answer to these questions proposing a modelling framework able to represent, within the semantic web languages, a multilevel representation of conceptual information, integrating both classical and non classical (typicality based) information. Within this framework we hypothesise, at least in principle, the coexistence of multiple reasoning processes involving the different levels of representation. (shrink)

World semantics for relevant logics include so-called non-normal or impossible worlds providing model-theoretic counterexamples to such irrelevant entailments as (A ∧ ¬A) → B, A → (B∨¬B), or A → (B → B). Some well-known views interpret non-normal worlds as information states. If so, they can plausibly model our ability of conceiving or representing logical impossibilities. The phenomenon is explored by combining a formal setting with philosophical discussion. I take Priest’s basic relevant logic N4 and extend it, on the syntactic (...) side, with a representation operator, (R), and on the semantic side, with particularly anarchic non-normal worlds. This combination easily invalidates unwelcome “logical omniscience” in- ferences of standard epistemic logic, such as belief-consistency and closure under entailment. Some open questions are then raised on the best strategies to regiment (R) in order to express more vertebrate kinds of conceivability. (shrink)

We present a uniform version of Di Nola Theorem, this enables to embed all MV-algebras of a bounded cardinality in an algebra of functions with values in a single non-standard ultrapower of the real interval [0,1]. This result also implies the existence, for any cardinal α, of a single MV-algebra in which all infinite MV-algebras of cardinality at most α embed. Recasting the above construction with iterated ultrapowers, we show how to construct such an algebra of values in a definable (...) way, thus providing a sort of “canonical” set of values for the functional representation. (shrink)

Information and representation are thought to be intimately related. Representation, in fact, is commonly considered to be a special kind of information. It must be a _special_ kind, because otherwise all of the myriad instances of informational relationships in the universe would be representational -- some restrictions must be placed on informational relationships in order to refine the vast set into those that are truly representational. I will argue that information in this general sense is important to genuine agents, but (...) that it is a blind alley with regard to the attempt to understand representation. On the other hand, I will also argue that a different, quite non-standard, form of information is central to genuine representation. First I turn to some of the reasons why information as usually considered is the wrong category for understanding representation; second to an alternative model of representation -- one that is naturally emergent in autonomous agents, and that does involve information, but not in any standard form; and third I return to standard notions of informational relationships and show what they are in fact useful for. (shrink)

Recently, Horsman et al. have proposed a new framework, Abstraction/Representation theory, for understanding and evaluating claims about unconventional or non-standard computation. Among its attractive features, the theory in particular implies a novel account of what is means to be a computer. After expounding on this account, I compare it with other accounts of concrete computation, finding that it does not quite fit in the standard categorization: while it is most similar to some semantic accounts, it is not itself a semantic (...) account. Then I evaluate it according to the six desiderata for accounts of concrete computation proposed by Piccinini. Finding that it does not clearly satisfy some of them, I propose a modification, which I call Agential AR theory, that does, yielding an account that could be a serious competitor to other leading account of concrete computation. (shrink)

This commentary addresses the complexities of representation in sociolinguistic transcripts, considering the meaning potentials of different representational choices at the level of both ideology and identity. It considers the kinds of authenticity and evidence that are indexed by simplified versus more detailed transcripts, suggesting that a simplified transcript may give more direct access to elements of the original speaker's voice. Second, it discusses the role of transcripts as scholarly texts, and questions their use as sociolinguistic records suitable for reinterpretation by (...) scholars who do not have access to the original recordings. Third, it emphasizes that the use of non-standard orthographies is an unreliable source of data on sociolinguistic variation, because few authors use non-standard forms in consistent and principled ways. Fourth, it proposes that translations may take different forms depending on whether they are efforts to be `faithful' to `authentic' speech in the target versus the source language. Finally, it reflects on the act of transcription as part of professional practice and identity among linguists. (shrink)

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

In this article, network science is discussed from a methodological perspective, and two central theses are defended. The first is that network science exploits the very properties that make a system complex. Rather than using idealization techniques to strip those properties away, as is standard practice in other areas of science, network science brings them to the fore, and uses them to furnish new forms of explanation. The second thesis is that network representations are particularly helpful in explaining the (...) properties of non-decomposable systems. Where part-whole decomposition is not possible, network science provides a much-needed alternative method of compressing information about the behavior of complex systems, and does so without succumbing to problems associated with combinatorial explosion. The article concludes with a comparison between the uses of network representation analyzed in the main discussion, and an entirely distinct use of network representation that has recently been discussed in connection with mechanistic modeling. (shrink)

My dissertation is about Bayesian rationality for non-ideal agents. I show how to derive subjective probabilities from preferences using much weaker rationality assumptions than other standard representation theorems. I argue that non-ideal agents might be uncertain about how they will update on new information and consider two consequences of this uncertainty: such agents should sometimes reject free information and make choices which, taken together, yield sure loss. The upshot is that Bayesian rationality for non-ideal agents makes very different normative demands (...) than ideal Bayesian rationality. (shrink)

We present a method for relevance sensitive non-monotonic inference from belief sequences which incorporates insights pertaining to prioritized inference and relevance sensitive, inconsistency tolerant belief revision. Our model uses a finite, logically open sequence of propositional formulas as a representation for beliefs and defines a notion of inference from maxiconsistent subsets of formulas guided by two orderings: a temporal sequencing and an ordering based on relevance relations between the putative conclusion and formulas in the sequence. The relevance relations are ternary (...) (using context as a parameter) as opposed to standard binary axiomatizations. The inference operation thus defined easily handles iterated revision by maintaining a revision history, blocks the derivation of inconsistent answers from a possibly inconsistent sequence and maintains the distinction between explicit and implicit beliefs. In doing so, it provides a finitely presented formalism and a plausible model of reasoning for automated agents. (shrink)

This paper discusses a relational modeling of measurement which is complementary to the standard representational point of view: by focusing on the experimental character of the measurand-related comparison between objects, this modeling emphasizes the role of the measuring systems as the devices which operatively perform such a comparison. The non-idealities of the operation are formalized in terms of non-transitivity of the substitutability relation between measured objects, due to the uncertainty on the measurand value remaining after the measurement. The metrological structure (...) of traceability is shown to be an effective solution to cope with the problem of the general non-transitivity of measurement results. A preliminary theory is introduced as a possible formalization for the presented model. (shrink)

According to standard rational choice theory, as commonly used in political science and economics, an agent's fundamental preferences are exogenously fixed, and any preference change over decision options is due to Bayesian information learning. Although elegant and parsimonious, such a model fails to account for preference change driven by experiences or psychological changes distinct from information learning. We develop a model of non-informational preference change. Alternatives are modelled as points in some multidimensional space, only some of whose dimensions play a (...) role in shaping the agentís preferences. Any change in these "motivationally salient" dimensions can change the agent's preferences. How it does so is described by a new representation theorem. Our model not only captures a wide range of frequently observed phenomena, but also generalizes some standard representations of preferences in political science and economics. (shrink)

Does religious belief differ in any interesting way from other kinds of belief? For now, take ‘belief’ to mean how one takes the world to be, on the basis of which they act. Call beliefs like this ‘ordinary beliefs’. There are also more complicated, or abstract, beliefs. Call such beliefs ‘non-ordinary beliefs’. Are religious beliefs different in any significant or interesting way from what we call ‘standard belief’? Our analysis shows that they are not. Although the content of religious belief (...) is different, and sometimes so is the function, religious beliefs are still mental, dispositional attitudes that aim to provide a correct representation of the world. Therefore, religious beliefs are best understood as a sub-category of standard beliefs, alongside ordinary and non-ordinary beliefs. This account of religious belief provides further insight into the meaning of belief and supports a revision of a strict demarcation between standard and non-standard beliefs. (shrink)

This paper is concerned with certain ontological issues in the foundations of geographic representation. It sets out what these basic issues are, describes the tools needed to deal with them, and draws some implications for a general theory of spatial representation. Our approach has ramifications in the domains of mereology, topology, and the theory of location, and the question of the interaction of these three domains within a unified spatial representation theory is addressed. In the final part we also consider (...) the idea of non-standard geographies, which may be associated with geography under a classical conception in the same sense in which non-standard logics are associated with classical logic. (shrink)

Patients with mental illness, and depression in particular, present clinicians and surrogate decision-makers with complex ethical dilemmas when they refuse life-sustaining non-psychiatric treatment. When treatment rejection is at variance with the beliefs and preferences that could be expected based on their premorbid or “authentic” self, their capacity to make these decisions may be called into question. If capacity cannot be demonstrated, medical decisions fall to surrogates who are usually advised to decide based on a substituted judgment standard or, when that (...) is not possible, best interest. We propose that in cases where the patient meets the widely accepted cognitive criteria for capacity but is making decisions that appear inauthentic, the surrogate may best uphold patient autonomy by following a “restorative representation” model. We see restorative representation as a subset of substituted judgement in which the decision-maker retains responsibility for deciding as the patient would have, but discerns the decision their “truest self” would make, rather than inferring their current wishes, which are directly influenced by illness. Here we present a case in which the patient’s treatment refusal and previously undiagnosed depression led to difficulty determining the patient’s authentic wishes and placed a distressing burden on the surrogate decision-maker. We use this case to examine how clinicians and ethicists might better advise surrogates who find themselves making these clinically and emotionally challenging decisions. (shrink)

I present and evaluate the prospects of the biosemantic program, understood as a philosophical attempt to explain the mind’s origins by appealing to something that non-minded organisms and minded organisms have in common: representational capacity. I develop an analogy with ancient attempts to account for the origins of change, clarify the biosemantic program’s aims and methods, and then distinguish two importantly different forms of objection, a priori and a posteriori. I defend the biosemantic program from a priori objections on the (...) grounds that the standard of explanation presupposed by them is inappropriate and leads to absurdities if consistently applied. Once the way is cleared of a priori objections, the success of biosemantics turns on the strength of a posteriori objections, that is, on the program’s empirical adequacy. Here, its prospects are less clear, but I offer reasons, by analogy with chemical combination and other everyday phenomena, to think that minded beings and their representational capacities might well have their origin and explanation in non-minded beings. An evolutionary origin and explanation of mind is plausible, at least as far as naturalistic accounts and explanations go. (shrink)

The key concept in Kant’s aesthetics is “aesthetic reflective judgment,” a critique of which is found in Part 1 of the Critique of the Power of Judgment (1790). It is a critique inasmuch as Kant unravels previous assumptions regarding aesthetic perception. For Kant, the comparative edge of a “judgment” implicates communicability, which in turn gives it a public face; yet “reflection” points to autonomy, and the “aesthetic” shifts the emphasis away from objective properties to the subjective response evoked by the (...) object. Contrary to the view he had inherited, Kant did not treat aesthetic judgments as confused perceptions or inferior cognitions, but rather put them in a category of their own. For Kant, aesthetic reflective judgments implicated not only the processes involved in understanding the empirical world but also the processes involved in ascribing ideas or meaning to experience (which go beyond what is given in perception/cognition). This “going beyond cognition” may have been referred to by Kant as non-cognitive, but it is conditioned on a way of cognizing the object. Kant describes the features of such judgments in the Analytic of the Beautiful before addressing their possibility in subtle ways throughout the Deduction of Pure Aesthetic Judgments. Kant’s critique gives rise to three apparent dichotomies: immediate intuition and prior learning; autonomy and communicability; and non-cognitive response and aesthetic ideas. An interpretation of Kant’s theory can be deemed correct to the degree that it succeeds in showing that the contradictions are only apparent. I will argue that the resulting positive account of Kant’s aesthetic theory offers an understanding of aesthetic reflective judgment that is quite different from the standard formalism that the critics of formalism usually target and by which they misrepresent Kant’s aesthetic theory. When I refer to Kant’s formalism, then, I mean something quite different by this than what is meant by “standard formalism.” The latter is the representation given Kant’s formalism by its contemporary critics and is the typical account of formalism found in the art theory and philosophy of art literature, as will be demonstrated. (shrink)

Many studies have observed modulation of the amplitude of the neural index mismatch negativity (MMN) related to which member of a phoneme contrast [phoneme A, phoneme B] serves as the frequent (standard) and which serves as the infrequent (deviant) stimulus (i.e., AAAB vs. BBBA) in an oddball paradigm. Explanations for this amplitude modulation range from acoustic to linguistic factors. We tested whether exchanging the role of the mid vowel /ε/ vs. high vowel /ɪ/ of English modulated MMN amplitude and whether (...) the pattern of modulation was compatible with an underspecification account, in which the underspecified height values are [−high] and [−low]. MMN was larger for /ε/ as the deviant, but only when compared across conditions to itself as the standard. For the within-condition comparison, MMN was larger to /ɪ/ deviant minus /ε/ standard than to the reverse. A condition order effect was also observed. MMN amplitude was smaller to the deviant stimulus if it had previously served as the standard. In addition, the amplitudes of late discriminative negativity (LDN) showed similar asymmetry. LDN was larger for deviant /ε/ than deviant /ɪ/ when compared to themselves as the standard. These findings were compatible with an underspecification account, but also with other accounts, such as the Natural Referent Vowel model and a prototype model; we also suggest that non-linguistic factors need to be carefully considered as additional sources of speech processing asymmetries. (shrink)

In the study of women in academia, the focus is often particularly on women’s stark underrepresentation in the math-intensive fields of natural sciences, technology, and economics. In the non-math-intensive of fields life, social and behavioral sciences, gender issues are seemingly less at stake because, on average, women are well-represented. However, in the current study, we demonstrate that equal gender representation in LSB disciplines does not guarantee women’s equal opportunity to advance to full professorship—to the contrary. With a cross-sectional survey among (...) N = 2,109 academics at mid-level careers in the Netherlands, we test the hypothesis that in LSB, female academics perceive to hit a “thicker” glass ceiling—that is, they see a sharper contrast between the high representation of women at the lower compared to the top levels. We test whether this predicts female academics’ lower estimated chances to reach full professorship relative to men in LSB. We introduce a novel perceived glass ceiling index, calculated based on academics’ perceptions of the share of women and men in their direct work environment minus their perceptions of gender ratio among full professors in their field. Results confirm that the perceived glass ceiling is thicker in the non-math-intensive LSB compared to math-intensive NTE fields. Furthermore, only in LSB, women perceived a thicker glass ceiling than men. Moreover, only among female academics, the thicker the perceived glass ceiling, the lower their estimated chances to become full professor 1 day. Combined, a moderated mediation showed that for women only, a thicker perceived glass ceiling in LSB compared to NTE disciplines predicted their lower estimated chances to advance to full professor level. No such mediation occurred for men. We conclude that women’s higher numerical representation in LSB disciplines does not negate a male-dominant normative standard about academic leadership and success. Paradoxically, the perceived odds for female academics to reach the top of their field are lower in fields where they are relatively highly represented, and this may pose unique barriers to women’s perceived opportunities for career success. (shrink)

In an earlier article [Found. Phys. 30, 1191 (2000)], a quasiclassical phase space approximation for quantum projection operators was presented, whose accuracy increases in the limit of large basis size (projection subspace dimensionality). In a second paper [J. Chem. Phys. 111, 4869 (1999)], this approximation was used to generate a nearly optimal direct-product basis for representing an arbitrary (Cartesian) quantum Hamiltonian, within a given energy range of interest. From a few reduced-dimensional integrals, the method determines the optimal 1D marginal Hamiltonians, (...) whose eigenstates comprise the direct-product basis. In the present paper, this phase space optimized direct-product basis method is generalized to incorporate non-Cartesian coordinate spaces, composed of radii and angles, that arise in molecular applications. Analytical results are presented for certain standard systems, including rigid rotors, and three-body vibrators. (shrink)

Standardly, mental properties like beliefs, desires, fears, etc. are analysed as relations between the agent, to whom the predicate is ascribed, and a proposition, which is the intentional content of this property. According to this relational analysis, having a thought implies having its content present to the mind. This has wide-ranging philosophical implications, e.g. for the possibility of children and animals having intentional mental properties, or for the problem of knowing one’s own thoughts. Further, according to the relational analysis, the (...) causal efficacy of mental properties must be in virtue of their content. This implies that folk-psychological explanations acquire a special status, for they employ mental properties as the explanans of behaviour. Mental properties can be conceived of as causally efficacious, and hence like standard scientific explanans, only if a satisfactory account is provided how they are causally efficacious in virtue of their semantic content. A successful account of this sort, I submit, does not exist as of yet; hence it seems, on the relational account, that folk psychological explanations are non-scientific, if they are explanations at all. (shrink)

The social sciences face a problem of sample non-representation, where the majority of samples consist of undergraduate students from Euro-American institutions. The problem has been identified for decades with little trend of improvement. In this paper, I trace the history of sampling theory. The dominant framework, called the design-based approach, takes random sampling as the gold standard. The idea is that a sampling procedure that is maximally uninformative prevents samplers from introducing arbitrary bias, thus preserving sample representation. I show how (...) this framework, while good in theory, faces many challenges in application. Instead, I advocate for an alternative framework, called the model-based approach to sampling, where representative samples are those balanced in composition, however they were drawn. I argue that the model-based framework is more appropriate in the social sciences because it allows for systematic assessment of imperfect samples and methodical improvement in resource-limited scientific contexts. I end with practical proposals of improving sample quality in the social sciences. (shrink)

Expected Utility Theory (EUT) has anomalies when interpreted descriptively and tested empirically. Experiments show that the way in which options are formulated is, in most cases, relevant for decision-making. This kind of anomaly is directly related, however, not with a proper axiom of EUT but rather with the logical principle of extensionality and its decision theoretic version: the principle of invariance. This paper focuses on the phenomenon of framing effects (FE) and the associated failures of invariance. FE arise when different (...) descriptions of the same object lead to different preferences, beliefs, or choices. A formal reconstruction of the Gain–Loss (G-L) frame is proposed, expanding the domain of standard decision theory to incorporate not only prospects but also descriptions of prospects. The system is extended by adding non-monotonic logical resources so as to account for the ceteris paribus character of FE. Finally, the same method is applied to sketching a formal representation for an anomalous case that involves subjective probabilities. The logical method is a general one that can be applied to most cases of FE. The philosophical consequences of the strategy pursued are also discussed. (shrink)

The Computational Theory of Mind (CTM) holds that cognitive processes are essentially computational, and hence computation provides the scientific key to explaining mentality. The Representational Theory of Mind (RTM) holds that representational content is the key feature in distinguishing mental from non-mental systems. I argue that there is a deep incompatibility between these two theoretical frameworks, and that the acceptance of CTM provides strong grounds for rejecting RTM. The focal point of the incompatibility is the fact that representational content is (...) extrinsic to formal procedures as such, and the intended interpretation of syntax makes no difference to the execution of an algorithm. So the unique 'content' postulated by RTM is superfluous to the formal procedures of CTM. And once these procedures are implemented in a physical mechanism, it is exclusively the causal properties of the physical mechanism that are responsible for all aspects of the system's behaviour. So once again, postulated content is rendered superfluous. To the extent that semantic content may appear to play a role in behaviour, it must be syntactically encoded within the system, and just as in a standard computational artefact, so too with the human mind/brain - it's pure syntax all the way down to the level of physical implementation. Hence 'content' is at most a convenient meta-level gloss, projected from the outside by human theorists, which itself can play no role in cognitive processing. (shrink)

A typical expository strategy for the predictive processing account begins with perception and then extends to other cognitive domains, such as action or non-human animal cognition. Because this standard, perception-first expository strategy begins at the end of an evolutionary process, it may introduce both diachronic and synchronic distortions into the overall account. As far as the diachronic distortion is concerned, because the perception-first strategy presupposes a highly decoupled cognitive architecture, it invites us to project this architecture onto the coupled cognitive (...) systems of our evolutionary ancestors and other non-human organisms. Turning to the synchronic distortion, as the perception-first strategy is extended to conative states, it invites a cognitivism that seeks to reconstrue motivational states as a species of belief. In this paper, I explore what a predictive processing account would look like if it began at the beginning, with the highly coupled representations carried by our evolutionary ancestors and other non-human organisms. I conclude by exploring the proposal’s implications for a non-cognitivist, predictive processing account of action. (shrink)

I present and evaluate the prospects of the biosemantic program, understood as a philosophical attempt to explain the mind’s origins by appealing to something that non-minded organisms and minded organisms have in common: representational capacity. I develop an analogy with ancient attempts to account for the origins of change, clarify the biosemantic program’s aims and methods, and then distinguish two importantly different forms of objection, a priori and a posteriori. I defend the biosemantic program from a priori objections on the (...) grounds that the standard of explanation presupposed by them is inappropriate and leads to absurdities if consistently applied. Once the way is cleared of a priori objections, the success of biosemantics turns on the strength of a posteriori objections, that is, on the program’s empirical adequacy. Here, its prospects are less clear, but I offer reasons, by analogy with chemical combination and other everyday phenomena, to think that minded beings and their representational capacities might well have their origin and explanation in non-minded beings. An evolutionary origin and explanation of mind is plausible, at least as far as naturalistic accounts and explanations go. (shrink)

Objectives: Medical decision support and other intelligent applications in the life sciences depend on increasing amounts of digital information. Knowledge bases as well as formal ontologies are being used to organize biomedical knowledge and data. However, these two kinds of artefacts are not always clearly distinguished. Whereas the popular RDF(S) standard provides an intuitive triple-based representation, it is semantically weak. Description logics based ontology languages like OWL-DL carry a clear-cut semantics, but they are computationally expensive, and they are often misinterpreted (...) to encode all kinds of statements, including those which are not ontological. Method: We distinguish four kinds of statements needed to comprehensively represent domain knowledge: universal statements, terminological statements, statements about particulars and contingent statements. We argue that the task of formal ontologies is solely to represent universal statements, while the non-ontological kinds of statements can nevertheless be connected with ontological representations. To illustrate these four types of representations, we use a running example from parasitology. Results: We finally formulate recommendations for semantically adequate ontologies that can efficiently be used as a stable framework for more context-dependent biomedical knowledge representation and reasoning applications like clinical decision support systems. (shrink)

Thinking about the representational qualities of maps and models allows one to offer a new perspective on the nature of mindreading. The recent critiques of our dominant paradigms for mindreading, theory theory and simulation theory by enactivists such as Daniel Hutto reveal a flaw in the standard options for thinking about how we think about others. Views that rely on theorizing or simulation to account for the way in which we understand others often appear to over-intellectualize social interaction. In contrast, (...) enactivists champion embodied, non-representational forms of engagement with others. I claim that one can improve on the representational views of social cognition by moving away from talk of the mental manipulation of propositions in favor of the construction of maps and models of others. Furthermore, I claim that the current state of social neurobiology lends itself towards such a view. (shrink)

Variability is pervasive in spoken language, in particular if one is exposed to two varieties of the same language. Unlike in bilingual settings, standard and dialectal forms are often phonologically related, increasing the variability in word forms. We investigate whether dialectal variability in children’s input affects their ability to recognize words in Standard German, testing non-dialectal vs. dialectal children. Non-dialectal children, who typically grow up in urban areas, mostly hear Standard German forms, and hence encounter little segmental variability in their (...) input. Dialectal children in turn, who typically grow up in rural areas, hear both Standard German and dialectal forms, and are hence exposed to a large amount of variability in their input. We employ the familiar word paradigm for German children aged 12–18 months. Since dialectal children from rural areas are hard to recruit for laboratory studies, we programmed an App that allows all parents to test their children at home. Looking times to familiar vs. non-familiar words were analyzed using a semi-automatic procedure based on neural networks. Our results replicate the familiarity preference for non-dialectal German 12–18-month-old children. Non-dialectal children in the same age range, on the other hand, showed a novelty preference. One explanation for the novelty preference in dialectal children may be more mature linguistic processing, caused by more variability of word forms in the input. This linguistic maturation hypothesis is addressed in Experiment 2, in which we tested older children. These children, who are not exposed to dialectal forms, also showed a novelty preference. Taken together, our findings show that both dialectal and non-dialectal German children recognized the familiar Standard German word forms, but their looking pattern differed as a function of the variability in the input. Frequent exposure to both dialectal and Standard German word forms may hence have affected the nature of lexical representations, leading to more mature processing capacities. (shrink)

Dans cet article, nous décrivons un schéma et des modèles de représentation développés pour structurer les corpus de communication médiée par ordinateur (CMC) en suivant les recommandations de la Text Encoding Initiative (TEI). Nous considérons le discours CMC comme un échange dialogique entre humains, organisé de manière séquentielle. Nous insistons d’abord sur le fait que de nombreuses caractéristiques de la CMC ne sont pas traitées de manière adéquate par les schémas et les outils actuels d’encodage de corpus. Nous formulons donc (...) un ensemble de recommandations pour représenter la CMC avec des schémas d’encodage, en insistant sur le fait que la TEI nous semble être un cadre particulièrement approprié pour l’encodage des corpus CMC. Nous proposons une modélisation des unités de base de la CMC (énoncés, messages et actions non verbales) ainsi que des structures de niveaux macro- et micro des interactions dans les environnements de la CMC. À partir de ces modèles, nous introduisons le CMC-core, un noyau TEI pour l’encodage des corpus CMC, qui définit un ensemble de traits d’encodage spécifiques à la CMC sur quatre niveaux: (i) éléments, (ii) classes de modèles, (iii) classes d'attributs et (iv) modules de l'infrastructure TEI. La description du noyau proposé est illustrée au moyen d’exemples extraits des corpus des chercheurs du groupe SIG TEI CMC, représentant une grande variété de genres de la CMC (le chat, le wiki talk, le tweet, le blog, les interactions Second Life…). Le matériel décrit, i.e. les schémas, les exemples d’encodage et la documentation, est disponible sur le Wiki du SIG CMC TEI et accompagnera une demande d’enrichissement de la TEI (TEI feature request) au conseil de la TEI à la fin de l’année 2019. (shrink)

Philosophy of science has characterized scientific knowledge as fundamentally propositional . This account leads to an inability to recognize and articulate the significant role of non-propositional, visual representation in the practice of science. Toward the development of a more productive framework for understanding visual representation in science, the present study critiques the standard philosophical view, reviews the literature on visual representation in science, and examines the scientific case of neuroscience. Specifically, the study looks at current research known as "functional mapping (...) of the human brain" which uses neuroimaging technologies such as positron emission tomography in the localization of particular functions in the human brain. This case study suggests that, contrary to previous accounts in philosophy of science, visual representation and propositional representation work together as parallel, interacting, interwoven practices in the discovery/construction of scientific knowledge. Visual representations are not reduced to--translated into--linguistic and mathematical propositions, but instead are used in their multidimensional forms. The present study focuses on the external, materialized visual representations used in the practice of science, as opposed to internal, mental images that might be studied by cognitive psychology. Several hypotheses are proposed which describe aspects of the role of these visual representations in the practice of science. These include the following: a primary function of visual representation is the representation of structure which is made possible by the use of actual space in the process of visual representation; visual comparisons among visual representations of real objects and processes, visual representations of theoretical models, and visual representations of integrations of the two are used to assess the fit of the theoretical models to the real objects and processes; the construction of visual prototypes or prototypical visual representations of objects of scientific research are used to categorize and stabilize--hold stationary for the purposes of scientific examination--such objects; and the construction of material models make it possible for scientists to interact with and/or manipulate materialized structures as representations of real systems. (shrink)

In this paper we address the modelling of reasoning processes in natural agents. We focus on a very basic kind of non-monotonic inference for which we identify a simple and plausible underlying process, and we develop a family of logical models that allow to match this process. Partial worlds models, as we call them, are a variant of Kraus, Lehmann and Magidor’s cumulative models. We show that the inference relations they induce form a strict subclass of cumulative relations and tackle (...) the issue of providing sound and complete sets of rules to characterise them. Taking inspiration from the work of Gabbay and Schlechta, we analyse the question in terms of definable sets of partial worlds and conclude that completeness is probably unreachable using a standard propositional language. This brings us to enrich our language with an additional connective, which makes it possible to distinguish between two kinds of disjunction in the partial worlds context. Within this renewed framework, we provide two representation theorems: one for inference relations induced by precisification-free smooth models, and the other for inference relations induced by precisification-free ranked models. Finally we give an aperçu of how partial worlds models lend themselves to the modelling of learning. (shrink)

Dans cet article, nous établissons d’une part que l’usage du concept de capabilité comme une simple « métrique » du développement humain est une vision réductrice de la proposition intellectuelle de Sen. D’autre part, nous montrons qu’il est vain d’attendre de la part de Sen une théorie de la justice en termes de droits à certaines capabilités. Notre démonstration passe par deux types d’arguments : 1) en reprenant l’hypothèse standard et originelle de la capabilité comme ensemble de vecteurs de fonctionnements (...) accessibles ( e.g., Sen 1987), nous mettons en évidence quatre implications théoriques de l’approche de Sen que la perspective du « welfarisme formel » (Fleurbaey 2003 ; D’Aspremont 2011) ne permet pas de saisir ; 2) nous confortons cette lecture en examinant l’hypothèse – sous-explorée jusque là – de la capabilité comme « pouvoir effectif » d’agir dans le sens de résultats que l’on valorise (Sen 2008, 2010). Dans les deux cas, il s’agit de montrer que la capabilité pour Sen est bien autre chose qu’une « métrique » de l’avantage personnel et de confirmer l’idée que Sen n’est pas un théoricien des capabilités tel que l’attendent la plupart des commentateurs (Baujard et Gilardone 2017). De surcroît, la seconde hypothèse amène à intégrer d’emblée la question de l’obligation morale dans le concept de capabilité. Dès lors, la capabilité non seulement n’est pas une métrique de l’avantage personnel, mais elle n’est même plus une représentation de l’avantage personnel. C’est ici qu’apparaît selon nous la véritable révolution conceptuelle de Sen qui, contrairement à ce que Ricœur (2004) avait cru lire, ne se trouve pas dans le couple droit-capabilité, mais dans le couple responsabilité-capabilité. Finalement, il ressort que Sen partage l’idée des tenants d’une économie de la personne (Ballet et al. 2014) selon laquelle une théorie de la justice en termes de droits à certaines capabilités resterait prisonnière d’une vision purement fonctionnelle de la liberté. Surtout, la mise en lumière de ce couple responsabilité-capabilité ouvre des perspectives nouvelles pour appréhender la liberté et la rationalité des personnes, au cœur notamment des questions de justice et de choix collectif. (shrink)

Starting from an abstract setting for the Lüders-von Neumann quantum measurement process and its interpretation as a probability conditionalization rule in a non-Boolean event structure, the author derived a certain generalization of operator algebras in a preceding paper. This is an order-unit space with some specific properties. It becomes a Jordan operator algebra under a certain set of additional conditions, but does not own a multiplication operation in the most general case. A major objective of the present paper is the (...) search for such examples of the structure mentioned above that do not stem from Jordan operator algebras; first natural candidates are matrix algebras over the octonions and other nonassociative rings. Therefore, the case when a nonassociative commutative multiplication exists is studied without assuming that it satisfies the Jordan condition. The characteristics of the resulting algebra are analyzed. This includes the uniqueness of the spectral resolution as well as a criterion for its existence, subalgebras that are Jordan algebras, associative subalgebras, and more different levels of compatibility than occurring in standard quantum mechanics. However, the paper cannot provide the desired example, but contribute to the search by the identification of some typical differences between the potential examples and the Jordan operator algebras and by negative results concerning some first natural candidates. The possibility that no such example exists cannot be ruled out. However, this would result in an unexpected new characterization of Jordan operator algebras, which would have a significant impact on quantum axiomatics since some customary axioms (e.g., power-associativity or the sum postulate for observables) might turn out to be redundant then. (shrink)

Formal models of cultural evolution analyze how cognitive processes combine with social interaction to generate the distributions and dynamics of ‘representations.’ Recently, cognitive anthropologists have criticized such models. They make three points: mental representations are non-discrete, cultural transmission is highly inaccurate, and mental representations are not replicated, but rather are ‘reconstructed’ through an inferential process that is strongly affected by cognitive ‘attractors.’ They argue that it follows from these three claims that: 1) models that assume replication or (...) replicators are inappropriate, 2) selective cultural learning cannot account for stable traditions, and 3) selective cultural learning cannot generate cumulative adaptation. Here we use three formal models to show that even if the premises of this critique are correct, the deductions that have been drawn from them are false. In the rst model, we assume continuously varying representations under the in uence of weak selective transmission and strong attractors. We show that if the attractors are suf ciently strong relative to selective forces, the continuous representation model reduces to the standard.. (shrink)

The way, in which quantum information can unify quantum mechanics (and therefore the standard model) and general relativity, is investigated. Quantum information is defined as the generalization of the concept of information as to the choice among infinite sets of alternatives. Relevantly, the axiom of choice is necessary in general. The unit of quantum information, a qubit is interpreted as a relevant elementary choice among an infinite set of alternatives generalizing that of a bit. The invariance to the axiom of (...) choice shared by quantum mechanics is introduced: It constitutes quantum information as the relation of any state unorderable in principle (e.g. any coherent quantum state before measurement) and the same state already well-ordered (e.g. the well-ordered statistical ensemble of the measurement of the quantum system at issue). This allows of equating the classical and quantum time correspondingly as the well-ordering of any physical quantity or quantities and their coherent superposition. That equating is interpretable as the isomorphism of Minkowski space and Hilbert space. Quantum information is the structure interpretable in both ways and thus underlying their unification. Its deformation is representable correspondingly as gravitation in the deformed pseudo-Riemannian space of general relativity and the entanglement of two or more quantum systems. The standard model studies a single quantum system and thus privileges a single reference frame turning out to be inertial for the generalized symmetry [U(1)]X[SU(2)]X[SU(3)] “gauging” the standard model. As the standard model refers to a single quantum system, it is necessarily linear and thus the corresponding privileged reference frame is necessary inertial. The Higgs mechanism U(1) → [U(1)]X[SU(2)] confirmed enough already experimentally describes exactly the choice of the initial position of a privileged reference frame as the corresponding breaking of the symmetry. The standard model defines ‘mass at rest’ linearly and absolutely, but general relativity non-linearly and relatively. The “Big Bang” hypothesis is additional interpreting that position as that of the “Big Bang”. It serves also in order to reconcile the linear standard model in the singularity of the “Big Bang” with the observed nonlinearity of the further expansion of the universe described very well by general relativity. Quantum information links the standard model and general relativity in another way by mediation of entanglement. The linearity and absoluteness of the former and the nonlinearity and relativeness of the latter can be considered as the relation of a whole and the same whole divided into parts entangled in general. (shrink)

I will describe two non-standard ways of thinking about time. The first is ubiquitous in animal cognition. I will call it ‘phase time’. Suppose for example you consider a hibernating animal. This animal might have representation of the various seasons of the year, and modulate its actions dependent on the season. But it need have no distinction between the winter of one year and the winter of another; it thinks of time only in terms of repeatable phases.