Abstract“Force dynamics” refers to a previously neglected semantic category—how entities interact with respect to force. This category includes such concepts as: the exertion of force, resistance to such exertion and the overcoming of such resistance, blockage of a force and the removal of such blockage, and so forth. Force dynamics is a generalization over the traditional linguistic notion of “causative”: it analyzes “causing” into finer primitives and sets it naturally within a framework that also includes “letting,”“hindering,”“helping,” and still further notions. (...) Force dynamics, moreover, appears to be the semantic category that uniquely characterizes the grammatical category of modals, in both their basic and epistemic usages. In addition, on the basis of force dynamic parameters, numerous lexical items fall into systematic semantic patterns, and there exhibit parallelisms between physical and psychosocial reference. Further, from research on the relation of semantic structure to general cognitive structure, it appears that the concepts of force interaction that are encoded within language closely parallel concepts that appear both in early science and in naive physics and psychology. Overall, force dynamics thus emerges as a fundamental notional system that structures conceptual material pertaining to force interaction in a common way across a linguistic range: the physical, psychological, social, inferential, discourse, and mental-model domains of reference and conception. (shrink)

This paper explores a variety of different versions of the thesis that natural language is involved in human thinking. It distinguishes amongst strong and weak forms of this thesis, dismissing some as implausibly strong and others as uninterestingly weak. Strong forms dismissed include the view that language is conceptually necessary for thought (endorsed by many philosophers) and the view that language is _de facto_ the medium of all human conceptual thinking (endorsed by many philosophers and social scientists). Weak forms include (...) the view that language is necessary for the acquisition of many human concepts, and the view that language can serve to scaffold human thought processes. The paper also discusses the thesis that language may be the medium of _conscious_ propositional thinking, but argues that this cannot be its most fundamental cognitive role. The idea is then proposed that natural language is the medium for non-domain-specific thinking, serving to integrate the outputs of a variety of domain-specific conceptual faculties (or central-cognitive ‘quasi-modules’). Recent experimental evidence in support of this idea is reviewed, and the implications of the idea are discussed, especially for our conception of the architecture of human cognition. Finally, some further kinds of evidence which might serve to corroborate or refute the hypothesis are mentioned. The overall goal of the paper is to review a wide variety of accounts of the cognitive function of natural language, integrating a number of different kinds of evidence and theoretical consideration in order to propose and elaborate the most plausible candidate. (shrink)

Peter Ludlow presents the first book on the philosophy of generative linguistics, including both Chomsky's government and binding theory and his minimalist ...

A fundamental goal of linguistic theory is to explain how natural languages are acquired. This paper describes some recent findings on how learners acquire syntactic knowledge for which there is little, if any, decisive evidence from the environment. The first section presents several general observations about language acquisition that linguistic theory has tried to explain and discusses the thesis that certain linguistic properties are innate because they appear universally and in the absence of corresponding experience. A third diagnostic for innateness, (...) early emergence, is the focus of the second section of the paper, in which linguistic theory is tested against recent experimental evidence on children's acquisition of syntax. (shrink)

Fundamental to spatial knowledge in all species are the representations underlying object recognition, object search, and navigation through space. But what sets humans apart from other species is our ability to express spatial experience through language. This target article explores the language ofobjectsandplaces, asking what geometric properties are preserved in the representations underlying object nouns and spatial prepositions in English. Evidence from these two aspects of language suggests there are significant differences in the geometric richness with which objects and places (...) are encoded. When an object is named (i.e., with count nouns), detailed geometric properties – principally the object's shape (axes, solid and hollow volumes, surfaces, and parts) – are represented. In contrast, when an object plays the role of either “figure” (located object) or “ground” (reference object) in a locational expression, only very coarse geometric object properties are represented, primarily the main axes. In addition, the spatial functions encoded by spatial prepositions tend to be nonmetric and relatively coarse, for example, “containment,” “contact,” “relative distance,” and “relative direction.” These properties are representative of other languages as well. The striking differences in the way language encodes objects versus places lead us to suggest two explanations: First, there is a tendency for languages to level out geometric detail from both object and place representations. Second, a nonlinguistic disparity between the representations of “what” and “where” underlies how language represents objects and places. The language of objects and places converges with and enriches our understanding of corresponding spatial representations. (shrink)

A fundamental aspect of human cognition is the ability to parse our constantly unfolding experience into meaningful representations of dynamic events and to communicate about these events with others. How do we communicate about events we have experienced? Influential theories of language production assume that the formulation and articulation of a linguistic message is preceded by preverbal apprehension that captures core aspects of the event. Yet the nature of these preverbal event representations and the way they are mapped onto language (...) are currently not well understood. Here, we review recent evidence on the link between event conceptualization and language, focusing on two core aspects of event representation: event roles and event boundaries. Empirical evidence in both domains shows that the cognitive representation of events aligns with the way these aspects of events are encoded in language, providing support for the presence of deep homologies between linguistic and cognitive event structure. (shrink)

Abstract:A number of philosophers of language have proposed that people do not have conceptual access to‘bare particulars’, or attribute‐free individuals (e.g. Wiggins, 1980). Individuals can only be picked out under some sortal, a concept which provides principles of individuation and identity. Many advocates of this view have argued thatobjectis not a genuine sortal concept. I will argue in this paper that a narrow sense of‘object’, namely the concept of any bounded, coherent, three‐dimensional physical object that moves as a whole (Spelke, (...) 1990) is a sortal for both infants and adults. Furthermore,objectmay be the infant's first sortal and more specific sortals such ascupanddogmay be acquired later in the first year of life. I will discuss the implications for infant categorization studies, trying to draw a conceptual distinction between a perceptual category and a sortal, and I will speculate on how a child may construct sortal concepts such ascupanddog. (shrink)

Although for many years a sharp distinction has been made in language research between rules and words—with primary interest on rules—this distinction is now blurred in many theories. If anything, the focus of attention has shifted in recent years in favor of words. Results from many different areas of language research suggest that the lexicon is representationally rich, that it is the source of much productive behavior, and that lexically specific information plays a critical and early role in the interpretation (...) of grammatical structure. But how much information can or should be placed in the lexicon? This is the question I address here. I review a set of studies whose results indicate that event knowledge plays a significant role in early stages of sentence processing and structural analysis. This poses a conundrum for traditional views of the lexicon. Either the lexicon must be expanded to include factors that do not plausibly seem to belong there; or else virtually all information about word meaning is removed, leaving the lexicon impoverished. I suggest a third alternative, which provides a way to account for lexical knowledge without a mental lexicon. (shrink)

In this paper I show that we have strong empirical and theoretical reasons to treat the verbs we use in our semantic theorizing—particularly ‘refers to ’, ‘applies to ’, and ‘is true of ’—as intensional transitive verbs. Stating our semantic theories with intensional vocabulary allows us to partially reconcile two competing approaches to the nature and subject-matter of semantics: the Chomskian approach, on which semantics is non-relational, internalistic, and concerns the psychology of language users, and the Lewisian approach, on which (...) semantics is fully relational, specifies truth-conditions, and has metaphysical implications. ITVs have two readings: an intensional, de dicto reading, and a relational, de re reading. A semantic theory stated with the de dicto readings of our semantic verbs captures the core insights of the Chomskian approach to semantics, in part because it allows us to assign extremely fine-grained semantic values to expressions, even when those expressions are empty. On the other hand, the de re reading yields a theory that is fully relational, and issues in truth-conditions. The resulting theories are related—and compatible—in that they are expressed by two different readings of the very same semantic vocabulary, and plausibly, the distinction between these two readings is one of scope. (shrink)

This paper focuses on the inferential configuration of arguments, generally referred to as argument scheme. After outlining our approach, denominated Argumentum Model of Topics (AMT, see Rigotti and Greco Morasso 2006, 2009; Rigotti 2006, 2008, 2009), we compare it to other modern and contemporary approaches, to eventually illustrate some advantages offered by it. In spite of the evident connection with the tradition of topics, emerging also from AMT’s denomination, its involvement in the contemporary dialogue on argument schemes should not be (...) overlooked. The model builds in particular on the theoretical and methodological perspective of pragma-dialectics in its extended version, reconciling dialectic and rhetoric; nevertheless, it also takes into account numerous other contributions to the study of argument schemes. Aiming at a representation of argument schemes able to monitor the inferential cohesion and completeness of arguments, AMT focuses on two components of argument scheme that could be distinguished, readapting pragma-dialectical terms, as procedural and material respectively. The procedural component is based on the semantic-ontological structure, which generates the inferential connection from which the logical form of the argument is derived. The material component integrates into the argument scheme the implicit and explicit premises bound to the contextual common ground (Rigotti 2006). In this paper, the comparison of the AMT to other approaches focuses on the inferential configuration of arguments and not on the typologies of argument schemes and on the principles they are based on, which the authors intend to tackle in a further paper. (shrink)

We argue that a formal semantics for music can be developed, although it will be based on very different principles from linguistic semantics and will yield less precise inferences. Our framework has the following tenets: Music cognition is continuous with normal auditory cognition. In both cases, the semantic content derived from an auditory percept can be identified with the set of inferences it licenses on its causal sources, analyzed in appropriately abstract ways. What is special about music semantics is that (...) it aggregates inferences based on normal auditory cognition with further inferences drawn on the basis of the behavior of voices in tonal pitch space. This makes it possible to define an inferential semantics but also a truth-conditional semantics for music. In particular, a voice undergoing a musical movement m is true of an object undergoing a series of events e just in case there is a certain structure-preserving map between m and e. Aspects of musical syntax might be derivable on semantic grounds from an event mereology, which also explains some cases in which tree structures are inadequate for music. Intentions and emotions may be attributed at several levels, and we speculate on possible explanations of the special relation between music and emotions. (shrink)

Certain of our concepts are innate, but many others are learned. Despite the plausibility of this claim, some have argued that the very idea of concept learning is incoherent. I present a conception of learning that sidesteps the arguments against the possibility of concept learning, and sketch several mechanisms that result in the generation of new primitive concepts. Given the rational considerations that motivate their deployment, I argue that these deserve to be called learning mechanisms. I conclude by replying to (...) the objections that these mechanisms cannot produce genuinely new content and cannot be part of genuinely cognitive explanations. (shrink)

This paper proposes an Interface Transparency Thesis concerning how linguistic meanings are related to the cognitive systems that are used to evaluate sentences for truth/falsity: a declarative sentence S is semantically associated with a canonical procedure for determining whether S is true; while this procedure need not be used as a verification strategy, competent speakers are biased towards strategies that directly reflect canonical specifications of truth conditions. Evidence in favor of this hypothesis comes from a psycholinguistic experiment examining adult judgments (...) concerning ‘Most of the dots are blue’. This sentence is true if and only if the number of blue dots exceeds the number of nonblue dots. But this leaves unsettled, e.g., how the second cardinality is specified for purposes of understanding and/or verification: via the nonblue things, given a restriction to the dots, as in ‘|{x: Dot(x) & ~Blue(x)}|’; via the blue things, given the same restriction, and subtraction from the number of dots, as in ‘|{x: Dot(x)}| – |{x: Dot(x) & Blue(x)}|’; or in some other way. Psycholinguistic evidence and psychophysical modeling support the second hypothesis. (shrink)

Traditionally, the language faculty was supposed to be a device that maps linguistic inputs to semantic or conceptual representations. These representations themselves were supposed to be distinct from the representations manipulated by the hearer’s perceptual and motor systems. Recently this view of language has been challenged by advocates of embodied cognition. Drawing on empirical studies of linguistic comprehension, they have proposed that the language faculty reuses the very representations and processes deployed in perceiving and acting. I review some of the (...) evidence and arguments in favor of the embodied view of language comprehension, and argue that none of it is conclusive. Moreover, the embodied view itself blurs two important distinctions: first, the distinction between linguistic comprehension and its typical consequences; and second, the distinction between representational content and vehicles. Given that these distinctions are well-motivated, we have good reason to reject the embodied view of linguistic understanding.Keywords: Language; Comprehension; Perception; Action; Embodied cognition; Representation. (shrink)

Narratives are an integral part of human expression. In the graphic form, they range from cave paintings to Egyptian hieroglyphics, from the Bayeux Tapestry to modern day comic books (Kunzle, 1973; McCloud, 1993). Yet not much research has addressed the structure and comprehension of narrative images, for example, how do people create meaning out of sequential images? This piece helps fill the gap by presenting a theory of Narrative Grammar. We describe the basic narrative categories and their relationship to a (...) canonical narrative arc, followed by a discussion of complex structures that extend beyond the canonical schema. This demands that the canonical arc be reconsidered as a generative schema whereby any narrative category can be expanded into a node in a tree structure. Narrative “pacing” is interpreted as a reflection of various patterns of this embedding: conjunction, left-branching trees, center-embedded constituencies, and others. Following this, diagnostic methods are proposed for testing narrative categories and constituency. Finally, we outline the applicability of this theory beyond sequential images, such as to film and verbal discourse, and compare this theory with previous approaches to narrative and discourse. (shrink)

We approach the semantics of prepositions from the perspective of conceptual spaces. Focusing on purely spatial locative and directional prepositions, we analyze both types of prepositions in terms of polar coordinates instead of Cartesian coordinates. This makes it possible to demonstrate that the property of convexity holds quite generally in the domain of prepositions of location and direction, supporting the important role that this property plays in conceptual spaces.

Borg (2009) surveys and rejects a number of arguments in favour of semantic internalism. This paper, in turn, surveys and rejects all of Borg's anti-internalist arguments. My chief moral is that, properly conceived, semantic internalism is a methodological doctrine that takes its lead from current practice in linguistics. The unifying theme of internalist arguments, therefore, is that linguistics neither targets nor presupposes externalia. To the extent that this claim is correct, we should be internalists about linguistic phenomena, including semantics.

Suppose that one adopts a broadly Chomskyan perspective, in which there is a distinction between the language faculty and other cognitive faculties, including what Chomsky has recently called the “Conceptual-Intensional system”. Then there must in principle be at least three stages in this association that need to be understood. First, there is the nonlinguistic stage of conceptualizing a particular event.1 For example, while all of the participants in an event may be affected by the event in some way or another, (...) human cognizers typically focus on one or the other of those changes as being particularly salient or relevant to their interests. This participant is taken to be the “theme” or “patient” of the event, perhaps in some kind of nonlinguistic conceptual representation, such as the one developed by Jackendoff (1983, 1990b). Second, this conceptual/thematic representation is associated with a linguistic representation in which the entity seen as the patient of the event is represented as (say) an NP that is the direct object of the verb that expresses what kind of an event it was. This is the interface between language and the conceptual system. Finally, there is the possibility of adjusting this representation internally to the language system, by way of movements, chain formations, Case assignment processes, or whatever other purely syntactic processes there may be. For example, the NP that represents the theme and starts out as the direct object of the verb may become the subject if there is no other subject in the linguistic representation, either because there was no agent in the conceptual representation (as with an unaccusative verb), or because it was suppressed (as with a passive verb). (shrink)

This paper explores how words relate to concepts. It argues that in many cases, words get their meanings in part by associating with concepts, but only in conjunction with substantial input from language. Language packages concepts in grammatically determined ways. This structures the meanings of words, and determines which sorts of concepts map to words. The results are linguistically modulated meanings, and the extralinguistic concepts associated with words are often not what intuitively would be expected. The paper concludes by discussing (...) implications of this thesis for the relation of word to sentence meaning, and for issues of linguistic determinism. (shrink)

Formal theories of mental representation have receded from the importance they had in the early days of cognitive science. I argue that such theories are crucial in any mental domain, not just for their own sake, but to guide experimental inquiry, as well as to integrate the domain into the mind as a whole. To illustrate the criteria of adequacy for theories of mental representation, I compare two theoretical approaches to language: classical generative grammar (Chomsky, 1965, 1981, 1995) and the (...) parallel architecture (Jackendoff, 1997, 2002). The grounds for comparison include (a) the internal coherence of the theory across phonology, syntax, and semantics; (b) the relation of language to other mental faculties; (c) the relationship between grammar and lexicon; (d) relevance to theories of language processing; and (e) the possibility of languages with little or no syntax. (shrink)

My modest aim in this note is to sketch three interrelated critiques of public languages, and to respond to them. All are broadly Chomskyan, and all support the same conclusion: that, insofar as they even exist, the study of public languages is not a viable scientific project. (Related critiques of semantics, understood as involving word–world relations, will be touched on as well).

The Realist that investigates questions of ontology by appeal to the quantificational structure of language assumes that the semantics for the privileged language of ontology is externalist. I argue that such a language cannot be (some variant of) a natural language, as some Realists propose. The flexibility exhibited by natural language expressions noted by Chomsky and others cannot obviously be characterized by the rigid models available to the externalist. If natural languages are hostile to externalist treatments, then the meanings of (...) natural language expressions serve as poor guides for ontological investigation, insofar as their meanings will fail to determine the referents of their constituents. This undermines the Realist’s use of natural languages to settle disputes in metaphysics. (shrink)

Word meaning confronts us, as acutely as anything in syntax, with what Chomsky has called Plato’s problem.1 We know far more about the meaning of almost any word than we could have learned just from our exposure to uses of it. Communication would be unbearably laborious if we did not share with other speakers the ability to generalize the meanings of words in the right ways. As Fodor (1981) notes in arguing for the innateness of lexical semantics, the most we (...) might plausibly have learned about meaning of the verb paint is that it means something like “to cover with paint”. Even if we have only seen this done with a brush, we have no hesitation in applying the verb correctly to novel techniques of painting, such as rolling, spraying, or dipping. But when a vat of paint explodes in a paint factory, covering everyone with paint, or when Vel´. (shrink)

It is commonplace in cognitive science that concepts are individuated in terms of the roles they play in the cognitive lives of thinkers, a view that Jerry Fodor has recently been dubbed ‘Concept Pragmatism’. Quinean critics of Pragmatism have long argued that it founders on its commitment to the analytic/synthetic distinction, since without such a distinction there is plausibly no way to distinguish constitutive from non-constitutive roles in cognition. This paper considers Fodor’s empirical arguments against analyticity, and in particular his (...) arguments against lexical decomposition and definitions, and argues that Concept Pragmatists have two viable options with respect to them. First, Concept Pragmatists can confront them head-on, and argue that they do not show that lexical items are semantically primitive or that lexical concepts are internally unstructured. Second, Pragmatists may accept that these arguments show that lexical concepts are atomic, but insist that this need not entail that Pragmatism is false. For there is a viable version of Concept Pragmatism that does not take lexical items to be semantically structured or lexical concepts to be internally structured. Adopting a version of Pragmatism that takes meaning relations to be specified by inference rules, or meaning postulates, allows one to accept the empirical arguments in favor of Concept Atomism, while at the same time deny that such arguments show that there are no analyticities. The paper concludes by responding to Fodor’s recent objection that such a version of Concept Pragmatism has unhappy consequences concerning the relation between concept constitution and concept possession. (shrink)

Prepositions name spatial relationships. But they are also used to convey abstract, non-spatial relationships —raising the question of how the abstract uses relate to the concrete spatial uses. Despite considerable success in delineating these relationships, no general account exists for the two most frequently extended prepositions: in and on. We test the proposal that what is preserved in abstract uses of these prepositions is the relative degree of control between the located object and the reference object. Across four experiments, we (...) find a continuum of greater figure control for on and greater ground control for in. These findings bear on accounts of semantic structure and language change, as well as on second language instruction. (shrink)

Research in anthropology has shown that kin terminologies have a complex combinatorial structure and vary systematically across cultures. This article argues that universals and variation in kin terminology result from the interaction of (1) an innate conceptual structure of kinship, homologous with conceptual structure in other domains, and (2) principles of optimal, “grammatical” communication active in language in general. Kin terms from two languages, English and Seneca, show how terminologies that look very different on the surface may result from variation (...) in the rankings of a universal set of constraints. Constraints on kin terms form a system: some are concerned with absolute features of kin (sex), others with the position (distance and direction) of kin in “kinship space,” others with groups and group boundaries (matrilines, patrilines, generations, etc.). Also, kin terms sometimes extend indefinitely via recursion, and recursion in kin terminology has parallels with recursion in other areas of language. Thus the study of kinship sheds light on two areas of cognition, and their phylogeny. The conceptual structure of kinship seems to borrow its organization from the conceptual structure of space, while being specialized for representing genealogy. And the grammar of kinship looks like the product of an evolved grammar faculty, opportunistically active across traditional domains of semantics, syntax, and phonology. Grammar is best understood as an offshoot of a uniquely human capacity for playing coordination games. (shrink)

The transition from Middle English to Modern English in the second half of the 14th century is a turning point in the syntax of the language. It is at once the point when several constraints on nominal arguments that had been gaining ground since Old English become categorical, and the point when a reorganization of the functional category Infl is initiated, whose completion over the next several centuries yields essentially the syntactic system of the present day. From this time on, (...) subjects are obligatory, and they must be placed in Spec-IP position. In the VP, the last traces of OV order disappear, the order of direct and indirect object becomes fixed, the first “recipient passives” enter the language, and objects cease to be separable from the verb by adverbs or adjuncts. The V2 constraint of Old and Middle English is lost, as topicalized constituents cease to trigger verb-fronting. Concurrently, in the Infl system, the first instances of periphrastic do-support begin to replace fronting of the finite main verb, and, with the appearance of split infinitives and pro-infinitives, to starts to pattern as a non-finite Aux rather than, as in earlier stages, as a prefix marking the infinitive. All these changes have been dated to the second half of the 14th century, most of them specifically to the period between 1360 and 1380. (shrink)

In this paper I evaluate the soundness of the prototype paradigm, in particular its basic assumption that there are pan-human psychological essences or core meanings that refer to basic-level natural kinds, explaining why, on the whole, human communication and learning are successful. Instead I argue that there are no particular pan-human basic elements for thought, meaning and cognition, neither prototypes, nor otherwise. To illuminate my view I draw on examples from anthropology. More generally I argue that the prototype paradigm exemplifies (...) two assumptions that dominate cognitive science: (1) If human beings use words they mean something particular and what they mean can be discovered by scientific methods. (2) There is a fixed number of domains of categorization, each made up of a fixed number of basic categories. I suggest that these two assumptions lead to Brave New World. (shrink)

Descriptive metaphysics investigates our naïve ontology as this is articulated in the content of our perception or of our pre-reflective thought about the world. But is access to such content reliable? Sceptics about the standard modes of access (introspection, or language-driven intuitions) may think that investigations in descriptive metaphysics can be aided by the controlled findings of cognitive science. Cognitive scientists have studied a promising range of representational advantages, that is, ways in which cognition favours one type of entity over (...) another. The notion of representational advantage is investigated and some scepticism is expressed as to its appropriateness for use in descriptive metaphysics. (shrink)

Sculptors, architects, and painters are three professional groups that require a comprehensive understanding of how to manipulate spatial structures. While it has been speculated that they may differ in the way they conceive of space due to the different professional demands, this has not been empirically tested. To achieve this, we asked architects, painters, sculptors, and a control group questions about spatially complex pictures. Verbalizations elicited were examined using cognitive discourse analysis. We found significant differences between each group. Only painters (...) shifted consistently between 2D and 3D concepts, architects were concerned with paths and spatial physical boundedness, and sculptors produced responses that fell between architects and painters. All three differed from controls, whose verbalizations were generally less elaborate and detailed. Thus, for the case of sculptors, architects, and painters, profession appears to relate to a different spatial conceptualization manifested through a systematically contrasting way of talking about space. (shrink)

Methodological dualism in linguistics occurs when its theories are subjected to standards that are inappropriate for them qua scientific theories. Despite much opposition, methodological dualism abounds in contemporary thinking. In this paper, I treat linguistics as a scientific activity and explore some instances of dualism. By extracting some ubiquitous aspects of scientific methodology from its typically quantitative expression, I show that two recent instances of methodologically dualistic critiques of linguistics are ill-founded. I then show that there are nonetheless some divergences (...) between linguistic and other ordinary scientific methods, reflecting yet a third instance of methodological dualism. (shrink)

The difference between common and proper names seems to derive from specific semantic characteristics of proper names. In particular, proper names refer to specific individual entities or events, and unlike common names, rarely map onto more general semantic characteristics (attributes, concepts, categories). This fact makes the link proper names have with their reference particularly fragile. Processing proper names seems, as a consequence, to require special cognitive and neural resources. Neuropsychological findings show that proper names and common names follow functionally distinct (...) processing pathways. These pathways are neurally distinct and differently sensitive to focal or generalized brain damage, cognitive changes with age or lack of organic resources. Their precise location, depending on specific tasks, is still partly unknown. (shrink)

The first hurdle to overcome in approaching the complex topic of the relation between language and consciousness is terminology. So let me begin, in good philosophical style, by explaining the senses in which I use the three lexical terms in the title. Luckily I need not explain those of the three grammatical words the, of, and on: there is probably a minor library of semantic literature devoted to that. I need not, since I both know their meanings pre-theoretically, and know (...) that my readers, as users of English, know them. The significance of this simple fact concerning the meaning of all everyday words, in everyday constructs, is something that I will return to, since it plays a central role in the argument in Section 2. However, with abstract, theoretically loaded nominalizations such as dependence, language, and most of all consciousness, we need to beware since we cannot assume common knowledge -- myriads of misunderstandings arise since we mean somewhat different 'things' by them. I start with the easiest, by which I mean specifically ' dependence of language on consciousness', explaining only afterward what I mean by the latter terms. I ask the reader to bear this circularity with me. (shrink)

This paper considers a form of scepticism according to which sentences, along with other linguistic entities such as verbs and phonemes, etc., are never realized. If, whenever a conversational participant produces some noise or other, they and all other participants assume that a specific sentence has been realized (or, more colloquially, spoken), communication will be fluent whether or not the shared assumption is correct. That communication takes place is therefore, one might think, no ground for assuming that sentences are realized (...) during a typical conversation. I reject both this ‘folie-a-deux’ view and the arguments for it due to Georges Rey. I do so by drawing on Gilbert Harrnan’s no-false-lemmas principle. Since testimony is a form of knowledge and, according to the principle, knowledge cannot depend essentially on false assumptions, testimony is incompatible with the claim that sentence realization is but an illusion. Much of the paper is given over to defending this appeal to the no-false-lemmas principle. After all, a more attractive option might seem to be to infer instead that the principle is itself falsified by the folie-a-deux view. (shrink)

In this paper I assess the obstacles to a transfer of Lakatos's methodology of scientific research programmes to mathematics. I argue that, if we are to use something akin to this methodology to discuss modern mathematics with its interweaving theoretical development, we shall require a more intricate construction and we shall have to move still further away from seeing mathematical knowledge as a collection of statements. I also examine the notion of rivalry within mathematics and claim that this appears to (...) be significant only at a high level. In addition, ideas of ‘progress’ in mathematics are outlined. (shrink)

The development of possible worlds semantics for modal claims has led to a more general application of that theory as a complete semantics for various formal and natural languages, and this view is widely held to be an adequate (philosophical) interpretation of the model theory for such languages. We argue here that this view generates a self-referential inconsistency that indicates either the falsity or the incompleteness of PWS.

We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the (...) brain can transform and organize its perceptual intake. It is not necessary for a geometrical form to be perfectly instantiated in order for perception of such a form to be the basis of a geometrical concept. (shrink)