Few arguments against intentional states in animals have stood the test of time. But one objection by Stich and Davidson has never been rebutted. In my reconstruction it runs: Ascribing beliefs to animals is vacuous, unless something counts as an animal believing one specific “content” rather than another; Nothing counts as an animal believing one specific content rather than another, because of their lack of language; Ergo: Ascribing beliefs to animals is vacuous. Several attempts to block the argument challenge the (...) first premise, notably the appeals to “naked” belief ascriptions and alternative representational formats. This essay defends the first premise and instead challenges the second premise. There are non-linguistic “modes of presentation”; these can be determined by attributing to animals specific needs and capacities—a “ hermeneutic ethology” based on lessons from the debate about radical translation/interpretation in the human case. On that basis we can narrow down content by exclusion. What remains is an “imponderability of the mental” which does not rule out attributions of intentional states to animals. (shrink)

DETERMINACY is the claim that covert shifts in visual attention sometimes affect the determinacy of visual content (capital letters will distinguish the claim from the familiar word, 'determinacy'). Representationalism is the claim that visual phenomenology supervenes on visual representational content. Both claims are popular among contemporary philosophers of mind, and DETERMINACY has been employed in defense of representationalism. I claim that existing arguments in favor of DETERMINACY are inconclusive. As a result, DETERMINACY-based arguments in (...) support of representationalism are not strong ones. (shrink)

A number of authors have recently cited phenomenal effects of covert attention as a source of objection to representationalism. These authors maintain that covert attention brings about changes to phenomenology that cannot be explained by changes in representational content. This paper deals with two related issues that are central to this debate: (1) how attention interacts with representational content, and (2) how variations in the precision or determinacy of representational content should be incorporated into representationalist accounts of perceptual phenomenology. (...) I address these issues in the course of responding to several recent anti-representationalist arguments that have been advance by Ned Block. I argue that attention can increase the precision of range content and that this provides a basis for defusing both the concerns raised by Block and more general concerns related to covert attention. I conclude by situating my response with respect to analogous proposals that have been developed around the determination relation. (shrink)

Controversy about the credibility of normative realism is endemic to contemporary metaethics. Some take realism to be “obviously, the default position,” while others, to put it mildly, do not., In the face of such persistent controversy, it can be valuable to step back from the myriad arguments for and against realism, and seek to understand the challenges that face this view in their deepest and most general form. This paper aims to achieve this deeper understanding with respect to a pair (...) of familiar challenges to normative realism in the philosophy of mind. (shrink)

In her landmark book, Language, Thought, and Other Biological Categories (Millikan1984),1 Ruth Garrett Millikan utilizes the idea of a biological function to solve philosophical problems associated with the phenomena of language, thought, and meaning. Language and thought are activities of biological organisms, according to Millikan, and we should treat them as such when trying to answer related philosophical questions. Of special interest is Millikan’s treatment of intentionality. Here Millikan employs the notion of a biological function to explain what it is (...) for one thing in nature, a bee dance (43), for example, to be about another, in this case, the location of a nectar source. My concern in this paper is to understand whether Millikan’s account of intentionality adequately explains how humans achieve reference, in language or thought, to individuals and groups in their environment. In bringing her theory of intentional content to bear on human activities, Millikan focuses largely on natural language. Thus, in what follows, I begin by laying out the biology-based principles that underlie Millikan’s theory of content, then proceed with an explanation of how the theory is to apply to natural language. As it appears, Millikan’s account of how content is determined for natural language terms and sentences rests on the determinacy of intentional content at the psychological level. This leads me to take a careful look at what Millikan says about the content of mental representations, in hopes of finding a sufficient basis there for the application of Millikan’s theory of content to natural language. Ultimately, I conclude that Millikan’s theory faces a problem of vacuity. If we approach the theory as a theory of intentional content, intended to explain the nature of reference, the theory is lacking in an extremely important respect: Millikan explains how it could be one of the biological functions of a mental or natural language term to refer, without telling us precisely what in the natural order constitutes the reference relation.. (shrink)

The notion of individuation has both a semantic and an ontological face. More exactly, the claim can be defended that individuation has a proprietary linguistic or conceptual aspect as distinct from an ontological one. Ontologists such as W. V. Quine would credit neither the possibility of such a divergence nor the intelligibility of its proposal. The ontology of a language, for Quine, is inseparable from its individuative resources, mechanisms such as identity, pluralization, pronouns, and so forth. I aim here to (...) pick apart the ontological from the semantic aspect of individuation at one place where they interact, thereby to show that the distinction, far from being a mere abstraction lacking explanatory leverage, is vital for achieving an adequate characterization of the representational powers of language. I begin by attempting to put the issue into some kind of perspective, a didactic move prudent in virtue of the brassiness of the subsequent tacks. (shrink)

The cognitive anthropological approach has provided a powerful means of beginning to understand religious representations. I suggest that two extant approaches, despite their general plausibility, may not accurately characterise the detailed nature of those representations. A major source of this inaccuracy lies in the characterisation of negation of ontological properties, which gives rise to broader questions about their ontological determinacy and counter-intuitiveness. I suggest that a more plausible account may be forthcoming by allowing a more complex approach to the (...) representations, deriving from understanding their nature as concept combinations. Such an account also suggests an alternative approach to the role of deference in religious representations. In sum, the empirical and theoretical implications of a more fine-grained analysis of religious representations suggest a vindication of the cognitive anthropology approach to integrating culture and cognition. (shrink)

The last 14 chapters of book 1 of Aristotle's "Prior Analytics" are concerned with the representation in the formal language of syllogistic of propositions and arguments expressed in more or less everyday Greek. In his commentary on those chapters, Alexander of Aphrodisias explains some of Aristotle's more opaque assertions and discusses post-Aristotelian ideas in semantics and the philosophy of language. In doing so he provides an unusual insight into the way in which these disciplines developed in the Hellenistic era. (...) He also shows a more sophisticated understanding of these fields than Aristotle himself, while remaining a staunch defender of Aristotle's emphasis on meaning as opposed to Stoics concern with verbal formulation. In his commentary on the final chapter of book 1 Alexander offers a thorough discussion of Aristotle's distinction between denying that something is, e.g., white and asserting that it is non-white. (shrink)

How did the events of the early modern period affect the way gender and the self were represented? This collection of essays attempts to respond to this question by analysing a wide spectrum of cultural concerns - humanism, technology, science, law, anatomy, literacy, domesticity, colonialism, erotic practices, and the theatre - in order to delineate the history of subjectivity and its relationship with the postmodern fragmented subject. The scope of this analysis expands the terrain explored by feminist theory, while its (...) feminist focus reveals that the subject is always gendered - although the terms in which gender is conceived and represented change across history. Feminist Readings of Early Modern Culture not only explores the representation of gendered subjects, but in its commitment to balancing the productive tensions of methodological diversity, also speaks to contemporary challenges facing feminism. (shrink)

Being concerned with representation, this book is about an idea, a concept, a word. It is primarily a conceptual analysis, not a historical study of the way in which representative government has evolved, nor yet an empirical investigation of the behavior of contemporary representatives or the expectations voters have about them. Yet, although the book is about a word, it is not about mere words, not merely about words. For the social philosopher, for the social scientist, words are not (...) "mere"; they are the tools of his trade and a vital part of his subject matter. Since human beings are not merely political animals but also language-using animals, their behavior is shaped by their ideas. What they do and how they do it depends upon how they see themselves and their world, and this in turn depends upon the concepts through which they see. Learning what "representation" means and learning how to represent are intimately connected. But even beyond this, the social theorist sees the world through a network of concepts. Our words define and delimit our world in important ways, and this is particularly true of the world of human and social things. For a zoologist may capture a rare specimen and simply observe it; but who can capture an instance of representation (or of power, or of interest)? Such things, too, can be observed, but the observation always presupposes at least a rudimentary conception of what representation (or power, or interest) is, what counts as representation, where it leaves off and some other phenomenon begins. Questions about what representation is, or is like, are not fully separable from the question of what "representation" means. This book approaches the former questions by way of the latter. (shrink)

Introduction There are some exceptions, which we shall see below, but virtually all theories in psychology and cognitive science make use of the notion of representation. Arguably, folk psychology also traffics in representations, or is at least strongly suggestive of their existence. There are many different types of things discussed in the psychological and philosophical literature that are candidates for representation-hood. First, there are the propositional attitudes – beliefs, judgments, desires, hopes etc. (see Chapters 9 and 17 of (...) this volume). If the propositional attitudes are representations, they are person-level representations – the judgment that the sun is bright pertains to John, not a subpersonal part of John. By contrast, the representations of edges in V1 of the cerebral cortex that neuroscientists talk about and David Marr’s symbolic representations of “zero-crossings” in early vision (Marr 1982) are at the “sub-personal” level – they apply to parts or states of a person (e.g. neural parts or computational states of the visual system). Another important distinction is often made among perceptual, cognitive, and action-oriented representations (e.g. motor commands). Another contrast lies between “stored representations” (e.g. memories) and “active representations” (e.g. a current perceptual state). Related to this is the distinction between “dispositional representations” and “occurrent representations.” Beliefs that are not currently being entertained are dispositional, e.g. your belief that the United States is in North America - no doubt you had this belief two minutes ago, but you were not consciously accessing it until you read this sentence. Occurrent representations, by contrast, are active, conscious thoughts or perceptions. Which leads us to another important distinction: 1 between conscious and non-conscious mental representations, once a bizarre-sounding distinction that has become familiar since Freud (see Chapter 4 of this volume). I mention these distinctions at the outset to give you some idea of the range of phenomena we will be considering, and to set the stage for our central “problem of representation”: what is a mental representation, exactly, and how do we go about deciding whether there are any? We know there are public representations of various kinds: words, maps, and pictures, among others.. (shrink)

In this paper we study the logical strength of the determinacy of infinite binary games in terms of second order arithmetic. We define new determinacy schemata inspired by the Wadge classes of Polish spaces and show the following equivalences over the system RCA0*, which consists of the axioms of discrete ordered semi‐rings with exponentiation, Δ10 comprehension and Π00 induction, and which is known as a weaker system than the popularbase theory RCA0: 1. Bisep(Δ10, Σ10)‐Det* ↔ WKL0, 2. Bisep(Δ10, (...) Σ20)‐Det* ↔ ATR0 + Σ11 induction, 3. Bisep(Σ10, Σ20)‐Det* ↔ Sep(Σ10, Σ20)‐Det* ↔ Π11‐CA0, 4. Bisep(Δ20, Σ20)‐Det* ↔ Π11‐TR0, where Det* stands for the determinacy of infinite games in the Cantor space (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim). (shrink)

Democracy has been a flawed hegemony since the fall of communism. Its flexibility, its commitment to equality of representation, and its recognition of the legitimacy of opposition politics are all positive features for political institutions. But democracy has many deficiencies: it is all too easily held hostage by powerful interests; it often fails to advance social justice; and it does not cope well with a number of features of the political landscape, such as political identities, boundary disputes, and environmental (...) crises. Although democracy is valuable it fits uneasily with other political values and is in many respects less than equal to the demands it confronts. In this volume prominent political theorists and social scientists present original discussions of such central issues. Democracy's Values deals with the nature and value of democracy, particularly the tensions between it and such goods as justice, equality, efficiency, and freedom. (shrink)

Drawing on insights from causal theories of reference, teleosemantics, and state space semantics, a theory of naturalized mental representation. In A Mark of the Mental, Karen Neander considers the representational power of mental states—described by the cognitive scientist Zenon Pylyshyn as the “second hardest puzzle” of philosophy of mind. The puzzle at the heart of the book is sometimes called “the problem of mental content,” “Brentano's problem,” or “the problem of intentionality.” Its motivating mystery is how neurobiological states can (...) have semantic properties such as meaning or reference. Neander proposes a naturalistic account for sensory-perceptual representations. Neander draws on insights from state-space semantics, causal theories of reference, and teleosemantic theories. She proposes and defends an intuitive, theoretically well-motivated but highly controversial thesis: sensory-perceptual systems have the function to produce inner state changes that are the analogs of as well as caused by their referents. Neander shows that the three main elements—functions, causal-information relations, and relations of second-order similarity—complement rather than conflict with each other. After developing an argument for teleosemantics by examining the nature of explanation in the mind and brain sciences, she develops a theory of mental content and defends it against six main content-determinacy challenges to a naturalized semantics. (shrink)

We prove that the determinacy of Gale-Stewart games whose winning sets are accepted by realtime 1-counter Büchi automata is equivalent to the determinacy of analytic Gale-Stewart games which is known to be a large cardinal assumption. We show also that the determinacy of Wadge games between two players in charge ofω-languages accepted by 1-counter Büchi automata is equivalent to the analytic Wadge determinacy. Using some results of set theory we prove that one can effectively construct a (...) 1-counter Büchi automatonand a Büchi automatonsuch that: There exists a model of ZFC in which Player 2 has a winning strategy in the Wadge gameW,L()); There exists a model of ZFC in which the Wadge gameW,L()) is not determined. Moreover these are the only two possibilities, i.e. there are no models of ZFC in which Player 1 has a winning strategy in the Wadge gameW,L()). (shrink)

This volume addresses relations between macroscopic and microscopic description; essential roles of visualization and representation in chemical understanding; historical questions involving chemical concepts; the impacts of chemical ideas on wider cultural concerns; and relationships between contemporary chemistry and other sciences. The authors demonstrate, assert, or tacitly assume that chemical explanation is functionally autonomous. This volume should he of interest not only to professional chemists and philosophers, but also to workers in medicine, psychology, and other fields in which relationships between (...) explanations based on diverse levels of description and investigation are important. (Listed on Google books). (shrink)

A skeptical worry known as ‘the indeterminacy of computation’ animates much recent philosophical reflection on the computational identity of physical systems. On the one hand, computational explanation seems to require that physical computing systems fall under a single, unique computational description at a time. On the other, if a physical system falls under any computational description, it seems to fall under many simultaneously. Absent some principled reason to take just one of these descriptions in particular as relevant for computational explanation, (...) widespread failure of computational explanation would appear to follow. This paper advances a new solution to the indeterminacy of computation. Very roughly, I argue that the computational identity of a physical system is determinate relative to a contextually specified way of regarding that system computationally—known as a labelling scheme. When a system simultaneously implements multiple computations, it does so relative to different labelling schemes. But relative to a fixed labelling scheme, a physical system has a unique computational identity. I argue that this relativistic conception of computational identity vindicates computational explanation in the face of simultaneous implementation. (shrink)

Schmidt’s game and other similar intersection games have played an important role in recent years in applications to number theory, dynamics, and Diophantine approximation theory. These games are real games, that is, games in which the players make moves from a complete separable metric space. The determinacy of these games trivially follows from the axiom of determinacy for real games, $\mathsf {AD}_{\mathbb R}$, which is a much stronger axiom than that asserting all integer games are determined, $\mathsf {AD}$. (...) One of our main results is a general theorem which under the hypothesis $\mathsf {AD}$ implies the determinacy of intersection games which have a property allowing strategies to be simplified. In particular, we show that Schmidt’s $(\alpha,\beta,\rho )$ game on $\mathbb R$ is determined from $\mathsf {AD}$ alone, but on $\mathbb R^n$ for $n \geq 3$ we show that $\mathsf {AD}$ does not imply the determinacy of this game. We then give an application of simple strategies and prove that the winning player in Schmidt’s $(\alpha, \beta, \rho )$ game on $\mathbb {R}$ has a winning positional strategy, without appealing to the axiom of choice. We also prove several other results specifically related to the determinacy of Schmidt’s game. These results highlight the obstacles in obtaining the determinacy of Schmidt’s game from $\mathsf {AD}$. (shrink)

The papers collected in this volume exemplify some of the trends in current approaches to logic, language and computation. Written by authors with varied academic backgrounds, the contributions are intended for an interdisciplinary audience. The first part of this volume addresses issues relevant for multi-agent systems: reasoning with incomplete information, reasoning about knowledge and beliefs, and reasoning about games. Proofs as formal objects form the subject of Part II. Topics covered include: contributions on logical frameworks, linear logic, and different approaches (...) to formalized reasoning. Part III focuses on representations and formal methods in linguistic theory, addressing the areas of comparative and temporal expressions, modal subordination, and compositionality. (shrink)

My thanks to the Editors of Philosophy & Public Affairs for very helpful comments on an earlier draft. I also had the benefit of an exchange with Christopher McMahon. 1. Christopher McMahon, “The Indeterminacy of Republican Policy,” Philosophy & Public Affairs 33 (2005): 67–93, at p. 89. All parenthetical references in the text are to this article.

A major challenge in the philosophy of mathematics is to explain how mathematical language can pick out unique structures and acquire determinate content. In recent work, Button and Walsh have introduced a view they call ‘internalism’, according to which mathematical content is explained by internal categoricity results formulated and proven in second-order logic. In this paper, we critically examine the internalist response to the challenge and discuss the philosophical significance of internal categoricity results. Surprisingly, as we argue, while internalism arguably (...) explains how we pick out unique mathematical structures, this does not suffice to account for the determinacy of mathematical discourse. (shrink)

Plural logic is widely assumed to have two important virtues: ontological innocence and determinacy. It is claimed to be innocent in the sense that it incurs no ontological commitments beyond those already incurred by the first-order quantifiers. It is claimed to be determinate in the sense that it is immune to the threat of non-standard interpretations that confronts higher-order logics on their more traditional, set-based semantics. We challenge both claims. Our challenge is based on a Henkin-style semantics for plural (...) logic that does not resort to sets or set-like objects to interpret plural variables, but adopts the view that a plural variable has many objects as its values. Using this semantics, we also articulate a generalized notion of ontological commitment which enables us to develop some ideas of earlier critics of the alleged ontological innocence of plural logic. (shrink)

In this paper we address the question of what determines the content of our conscious episodes of thinking, considering recent claims that phenomenal character individuates thought contents. We present one prominent way for defenders of phenomenal intentionality to develop that view and then examine ‘sensory inner speech views’, which provide an alternative way of accounting for thought-content determinacy. We argue that such views fare well with inner speech thinking but have problems accounting for unsymbolized thinking. Within this dialectic, we (...) present an account of the nature of unsymbolized thinking that accords with and can be seen as a continuation of the activity of inner speech, while offering a way of explaining thought-content determinacy in terms of linguistic structures and representations. (shrink)

This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.

Although Hume appeals to the representational features of perceptions in many arguments in the Treatise, his theory of representation has traditionally been regarded as a weak link in his epistemology. In particular, it has proven difficult to reconcile Hume's use of representation as causal derivation and resemblance (the Copy Principle) with his use of representation in the context of impressions and abstract ideas. This paper offers a unified interpretation of representation in Hume that draws on the (...) resources of Berkeley's doctrine of signs. On this account, while the Copy Principle still occupies the core of Hume's "content empiricism," the manner in which any perception represents is understood as involving a relation of sign to thing signified. A sign/signified interpretation has the virtue of allowing Hume to remain within the strictures of his empiricism, while underwriting the various senses in which an impression or idea could possess content. Such an interpretation is not only adequate to account for the role that mental representations play in everyday behavior, but also for the purposes of elaborating the foundations of civil society that are Hume's concern in Book 3 of the Treatise. (shrink)

The use of conventional logical connectives either in logic, in mathematics, or in both cannot determine the meanings of those connectives. This is because every model of full conventional set theory can be extended conservatively to a model of intuitionistic set plus class theory, a model in which the meanings of the connectives are decidedly intuitionistic and nonconventional. The reasoning for this conclusion is acceptable to both intuitionistic and classical mathematicians. En route, I take a detour to prove that, given (...) strictly intuitionistic principles, classical negation cannot exist. (shrink)

As embodied theories of cognition are increasingly formalized and tested, care must be taken to make informed assumptions regarding the nature of concepts and representations. In this study, we outline three reasons why one cannot, in effect, represent the same concept twice. First, online perception affects offline representation: Current representational content depends on how ongoing demands direct attention to modality-specific systems. Second, language is a fundamental facilitator of offline representation: Bootstrapping and shortcuts within the computationally cheaper linguistic system (...) continuously modify representational content. Third, time itself is a source of representational change: As the content of underlying concepts shifts with the accumulation of direct and vicarious experience, so too does the content of representations that draw upon these concepts. We discuss the ramifications of these principles for research into both human and synthetic cognitive systems. (shrink)

A central issue in debates about Kant and nonconceptualism concerns the nature of intuition. There is sharp disagreement among Kant scholars about both whether, prior to conceptualization, mere intuition can be considered conscious and, if so, how determinate this consciousness is. In this article, I argue that Kant regards pre-synthesized intuition as conscious but indeterminate. To make this case, I contextualize Kant's position through the work of H.S. Reimarus, a predecessor of Kant who influenced his views on animals, infants, and (...) the role of attention. I use Reimarus to clarify Kant's otherwise ambiguous commitments on the determinacy of intuition in animals and newborns, and the role attention, concepts, and judgment play in making intuited contents determinate. This contextualization helps to shed light on Kant's discussion of pre-synthesized intuition in the threefold synthesis of the A-Deduction by demonstrating that Kant's theory of mind in the deduction offers transcendental grounding for empirical accounts of infant development like Kant and Reimarus's. The upshot is a Kant at odds with many recent interpretations of his theory of mind: pre-synthesized intuition is conscious but indeterminate. (shrink)

A representation is a remnant of previous experience that allows that experience to affect later behavior. This paper develops a metatheoretical view of representation and applies it to issues concerning representation in animals. To describe a representational system one must specify the following: thedomainor range of situations in the represented world to which the system applies; thecontentor set of features encoded and preserved by the system; thecodeor transformational rules relating features of the representation to the corresponding (...) features of the represented world; themedium, or the representation's physical instantiation; and thedynamics, or how the system changes with time. In part because of the behaviorist assumption that the hypothetical, covert changes occurring in an organism during learning correspond to the overt physical changes that are observed, issues of representation in animal behavior have been largely ignored as irrelevant or misleading. However, it can be inferred that representations, acting as models of environmental regularities, operate at many levels of behavioral functioning, both cognitive and noncognitive. Objections to the use of this concept in explanations of animal behavior, based on the claim that it is indeterminate and on behaviorist considerations of parsimony, can be answered. Animal representations may be specialized in terms of tasks and species. Data from tasks involving spatial memory, delayed matching-to-sample, and sequence learning suggest some foundations for a general theory of animal representations. (shrink)

We show that Bohr's principle of complementarity between position and momentum descriptions can be formulated rigorously as a claim about the existence of representations of the canonical commutation relations. In particular, in any representation where the position operator has eigenstates, there is no momentum operator, and vice versa. Equivalently, if there are nonzero projections corresponding to sharp position values, all spectral projections of the momentum operator map onto the zero element.

It has been suggested that iconic graphical signs evolve into symbolic graphical signs through repeated usage. This article reports a series of interactive graphical communication experiments using a ‘pictionary’ task to establish the conditions under which the evolution might occur. Experiment 1 rules out a simple repetition based account in favor of an account that requires feedback and interaction between communicators. Experiment 2 shows how the degree of interaction affects the evolution of signs according to a process of grounding. Experiment (...) 3 confirms the prediction that those not involved directly in the interaction have trouble interpreting the graphical signs produced in Experiment 1. On the basis of these results, this article argues that icons evolve into symbols as a consequence of the systematic shift in the locus of information from the sign to the users' memory of the sign's usage supported by an interactive grounding process. (shrink)