This chapter identifies the central issue between Michael Dummett and Donald Davidson on the role of convention in language and argues they are not as far apart in the end as they take themselves to be.

This paper brings together the work of Nicholas Wolterstorff and William Alston in speech-act theory with the aim of providing a deeper understanding of the nature of divine speaking through the medium of Scripture. Despite the fecundity of Wolterstorff's seminal work on the philosophical theology of Scripture, aspects of his speech-act centric account are underdeveloped and would benefit from the contributions of William Alston. In particular, his account of divine speech-acts could be fruitfully expanded by incorporating the concept of ‘taking (...) responsibility’ that is central to Alston's analysis of the nature of illocutionary acts. This would elucidate both the way in which readers of Scripture encounter divine practical authority in the reading process and the nature of the response of faith that is demanded of them. (shrink)

In this article I examine three ways in which one might interpret Wittgenstein's Philosophical Investigations (PI). In a partial response to Hans‐Johann Glock's article in this journal, I suggest that since publication PI has, broadly speaking, been interpreted in three ways: doctrinal; elucidatory; or therapeutic. The doctrinal interpretation is shown to be, at best, difficult to sustain textually. The elucidatory (standard) interpretation, though seemingly closer to the text, is shown both to implicate Wittgenstein in some unfortunate philosophical commitments and to (...) face a problem of “motivation.” I argue that, correctly understood, any attempt to elucidate in PI is undertaken only in pursuit of the therapeutic goal. I conclude by arguing that the therapeutic interpretation is the only interpretation that can adequately make sense of Wittgenstein's text as a whole and the metaphilosophical remarks in particular. Furthermore, it is the only interpretation that can demonstrate Wittgenstein's continued importance and relevance as a philosopher. (shrink)

It is sometimes argued that the study of grammar is irrelevant or unimportant in the business of comparative philosophy, or that it ought to be avoided in favor of methods that presuppose a strongly pragmatic point of view. In this regard, some philosophers have expressed skepticism about whether facts about grammar have anything to offer in the adjudication of competing theories of interpretation or translation. This essay argues that a strongly pragmatic orientation in comparative philosophy invariably overlooks an important role (...) that the study of grammar can play in shedding light on the nature of intention and communicative practice, and that an essential part of the methodology of comparative philosophy should involve a grammatical approach to interpretation and translation. These points are supported by a semantical analysis of passages from Confucius’ Analects that clarifies the relationship between illocutionary force and grammatical mood. (shrink)

This paper addresses two issues: what it is for a metaphor to be either alive or dead and what a metaphor must be in order to be either alive or dead. Both issues, in turn, bear on the contemporary debate whether metaphor is a pragmatic or semantic phenomenon and on the dispute between Contextualists and Literalists. In the first part of the paper, I survey examples of what I take to be live metaphors and dead metaphors in order to establish (...) that there is a phenomenon here to be explained. I then propose an explanation of metaphorical vitality in terms of the dependence of the interpretation of a metaphor on a family or network of expressions specific to its context of utterance. I then argue that only a Literalist account of metaphor — one that posits metaphorical expressions )—and not Contextualist and Gricean approaches can accommodate this explanation. Finally, I discuss some objections to my Literalist account and sketch an explanation of types to counter Platonistic objections to my metaphorical expression types. (shrink)

According to Peacocke, concepts are individuated by their possession conditions, which are specified in terms of conditions in which certain propositions containing those concepts are believed. In support, Peacocke tries to explain what it is for a thought to have a structure and what it is for a belief to have a propositional content. I show that the possession condition theory cannot answer such fundamental questions. Peacocke’s theory founders because concepts are metaphysically fundamental. They individuate the propositions and thoughts containing (...) them, which in turn individuate the propositional attitudes that are relations to those propositions or thoughts. (shrink)

Gordon Baker in his last decade published a series of papers (now collected in Baker 2004), which are revolutionary in their proposals for understanding of later Wittgenstein. Taking our lead from the first of those papers, on "perspicuous presentations," we offer new criticisms of 'elucidatory' readers of later Wittgenstein, such as Peter Hacker: we argue that their readings fail to connect with the radically therapeutic intent of the 'perspicuous presentation' concept, as an achievement-term, rather than a kind of 'objective' mapping (...) of a 'conceptual landscape.' Baker's Wittgenstein, far from being a 'language policeman' of the kind that often fails to influence mainstream philosophy, offers an alternative to the latent scientism of Wittgenstein's influential 'elucidatory' readers. (shrink)

The problem addressed is that of finding a sound characterization of ambiguity. Two kinds of characterizations are distinguished: tests and definitions. Various definitions of ambiguity are critically examined and contrasted with definitions of generality and indeterminacy, concepts with which ambiguity is sometimes confused. One definition of ambiguity is defended as being more theoretically adequate than others which have been suggested by both philosophers and linguists. It is also shown how this definition of ambiguity obviates a problem thought to be posed (...) by ambiguity for truth theoretical semantics. In addition, the best known test for ambiguity, namely the test by contradiction, is set out, its limitations discussed, and its connection with ambiguity's definition explained. The test is contrasted with a test for vagueness first proposed by Peirce and a test for generality propounded by Margalit. (shrink)

Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, (...) I argue. "If you love me, kiss me", a conditional imperative, mixes a declarative antecedent ("you love me") with an imperative consequent ("kiss me"); it is satisfied if you love and kiss me, violated if you love but don't kiss me, and avoided if you don't love me. So we need a logic of three -valued imperatives which mixes declaratives with imperatives. I develop such a logic. (shrink)

This article canvases the main areas of controversy: the nature of Lockean signification and his position on propositions and particles.

Intuitively it has seemed to many that our concepts conscious state and conscious creature are sharp rather than vague, that they can have no borderline cases. On the other hand, many who take conscious states to be identical to, or realized by, complex physical states are committed to the vagueness of those concepts. In the paper I argue that conscious state and conscious creature are sharp by presenting four necessary conditions for conceiving borderline cases in general, and showing that some (...) of those conditions cannot be met with conscious state. I conclude that conscious state is sharp, and the conclusion is then extended to conscious creature. The paper ends with a brief discussion of some implications. (shrink)

The paper begins with an account of the emergence of analytic philosophy of language in the twentieth century in the context of the development of logic and the linguistic turn. Subsequently, it describes two examples of analytic philosophy of language in its heyday when the discipline was conceived as first philosophy. Finally, it provides, by way of conclusion, a succinct outline of the current state of philosophy of language, marked by modesty and fragmentation. It is claimed that even if one (...) retains optimism about the prospects of philosophy of language in the first century of the new millennium, it would be unreasonable to disagree with the opinion that the present-day philosophy of language is a highly specialized and diversified discipline and no longer so central for philosophical enterprise as it used to be. (shrink)

Consciousness has an important role in ethics: when a being consciously experiences the frustration or satisfaction of its interests, those interests deserve higher moral priority than those of a behaviourally similar but non-conscious being. I consider the relationship between this ethical role and an a posteriori (or “type-B”) materialist solution to the mind-body problem. It is hard to avoid the conclusion that, if type-B materialism is correct, then the reference of the concept of phenomenal consciousness is radically indeterminate between a (...) neuronal-level property that is distinctive to mammals and a high-level functional property that is much more widely shared. This would leave many non-mammalian animals (such as birds, fish, insects and octopuses) with indeterminate moral status. There are ways to manage this radical moral indeterminacy, but all of these ways lead to profoundly troubling consequences. (shrink)

How language works — its functions, mechanisms, and limitations — matters to the early moderns as much as it does to contemporary philosophers. Many of the moderns make reflection on language central to their philosophical projects, both as a tool for explaining human cognition and as a weapon to be used against competing views. Even in philosophers for whom language is less central, we can find important connections between their views on language and their other philosophical commitments.

When it comes to explaining someone’s puzzling, objectionable, or otherwise problematic behavior, one type of explanation occasionally employed in the service of doing so is as follows: “That’s just so-and-so being so-and-so.” But what, exactly, do explanations of the type “That’s just so-and-so being so-and-so” mean? More specifically, in what way, if any, is it meaningful or informative to say such things? And what is the precise function of such explanations of someone’s behavior? Is it merely to present what one (...) takes to be the underlying causes of the behavior, or something beyond that? In what follows, I lay out a few possibilities—basic possibilities, to be precise, given philosophy’s keen interest in fundamentals—with respect to the various meanings, functions, and moral implications of explanations of the type “That’s just so-and-so being so-and-so.” While doing so, I apply these basic possibilities to three tokens of this kind of explanation: “That’s just Manny being Manny” (in reference to Manny Ramirez, the former professional baseball player), “That’s just Charlie being Charlie” (in reference to Charlie Rose, the former television host), and “That’s just Trump being Trump” (in reference to Donald Trump, the current President of the United States). (shrink)

I introduce an extension of the Lewis-Skyrms signaling game, analysed from a dynamical perspective via simple reinforcement learning. In Lewis’ (Convention, Blackwell, Oxford, 1969) conception of a signaling game, salience is offered as an explanation for how individuals may come to agree upon a linguistic convention. Skyrms (Signals: evolution, learning & information, Oxford University Press, Oxford, 2010a) offers a dynamic explanation of how signaling conventions might arise presupposing no salience whatsoever. The extension of the atomic signaling game examined here—which I (...) will refer to as a salience game—introduces a variable parameter into the atomic signaling game which allows for degrees of salience, thus filling in the continuum between Skyrms’ and Lewis’ models. The model does not presuppose any salience at the outset, but illustrates a process by which accidentally evolved salience is amplified, to the benefit of the players. It is shown that increasing degrees of salience allow populations to avoid sub-optimal pooling equilibria and to coordinate upon conventions more quickly. (shrink)

Two options are ‘incommensurate’ when neither is better than the other, but they are not equally good. Typically, we will say that one option is better in some ways, and the other in others, but neither is better ‘all things considered’. It is tempting to think that incommensurability is vagueness—that it is (perhaps) indeterminate which is better—but this ‘vagueness view’ of incommensurability has not proven popular. I set out the vagueness view and its implications in more detail, and argue that (...) it can explain most of the puzzling features of incommensurability. This argument proceeds without appeal to John Broome’s ‘collapsing principle’. (shrink)

This is a study of the syntax and semantics of reports containing speech-act and propositional attitude verbs with quotational complements. I make the case that while the quotational complements of some verbs, including _utter_, are nominal and metalinguistic, those of others, including _assert_ and _believe_, are clausal and nonmetalinguistic. Quotational reports with ‘say’ are ambiguous. When quotational complements are clausal, they are like _that_-clauses in being subordinate content clauses with main-clause form. Unlike _that_-clauses, quote-clauses force deictic shift and are unambiguously (...) opaque. I also argue that quotation marks serve a different function in “mixed” reports, and that use of the traditional “direct” and “indirect” is not consistent with their traditional definitions. (shrink)

يُعالج هذا المقال آلية التطور اللُغوي بصفة عامة، وملامح هذا التطور في أوقات الأزمات النوعية التي تكتنف البشر من حين إلى آخر، سواء أكانت أزمات مجتمعية أو سياسية أو اقتصادية أو علمية، مع التركيز على أبرز الابتكارات والإضافات اللغوية المُعجمية في دول العالم الناطق بالإنجليزية خلال جائحة كورونا، وذلك انطلاقًا من فرضٍ رئيس مؤداه ضرورة مشاركة علماء اللغة في مواجهة الأزمة ابتغاءً للوضوح والشفافية.

Professor Parkinson in his lecture on ‘The Translation Theory of Understanding’ discusses two stages in the development of a false but influential tradition which he finds common to Locke's Essay Concerning Human Understanding and Professor George Steiner's After Babel. He is not, of course, alleging any direct historical influence of the one on the other; neither is he principally addressing Steiner's book as a whole, but rather the account of understanding upon which it appears to be founded. I should like (...) to take his paper as the starting-point for my own, but begin from a somewhat broader view than he does of the legacy of Locke. With Parkinson's constructive position I have no quarrel, and I shall not address myself directly to it. (shrink)

This essay attempts to provide a systematic reconstruction of Nāgārjuna's philosophical thought by understanding it as a critique of the attachment to linguistic expressions and their referents. We first present an outline of Nāgārjuna's philosophy, centering on such notions as 'dependent origination', 'emptiness' and 'self-nature'. Then we discuss Nāgārjuna's dismissal of a metaphysical use of language, particularly his contention that language can function well without assuming the reality of its referents. We also consider his statement that he has no assertion (...) and explain his provisional use of language. Towards the end of the essay, we direct our attention to a paradoxical formula in a Buddhist sutra that should help in evaluating the contemporary significance of Nāgārjuna's linguistic critique. (shrink)

Papineau’s argument in "Thinking About Consciousness" for the vagueness or indeterminacy of phenomenal concepts is discussed. Several problems with his argument are brought out, and it is concluded that his argument fails to establish his desired conclusion.

In chapter one I firstly critique some contemporary family-resemblance approaches to the category woman, and claim that they do not take sufficient account of dis-semblance, that is, resemblances that people have in common with members of the contrast category man. Second, I analyze how the concept of woman is semantically contestable: resemblance/dissemblance structures give rise to vagueness and to borderline cases. Borderline cases can either be included in the category or excluded from it. The factors which incline parties in a (...) dispute about membership to include or exclude depend on metaphysical, ethical, or political background assumptions. In chapter two, I begin by considering the harms suffered by transgender persons through “misgendering”, the deployment of gender terms which inflict psychological harms upon transgender persons, place them in situations of injustice, or diminish their self-respect. Such deployments are morally contestable: they can be challenged on ethical grounds. Several characterisations of the term ‘woman’ proposed in the feminist literature are critiqued from this perspective. In chapter three, I elaborate a broadly liberal approach to gender pluralism. The approach involves: i) the public toleration of gender practices and beliefs which contest prevalent gender norms; and ii) state-gender neutrality. Public toleration allows gender non-conforming practices and beliefs within public space. State gender-neutrality consists mainly in the removal from law and government policy of provisions which assume compliance with prevalent conceptions of gender. (shrink)

Locke’s claim that the primary signification of (most) words is an idea, or complex of ideas, has received different interpretations. I support the majority view that Locke’s notion of primary signification can be construed in terms of linguistic meaning. But this reading has been seen as making Locke’s account vulnerable to various criticisms, of which I consider two. First, it appears to make the account vulnerable to the charge that an idea cannot play the role that a word meaning should (...) play. I argue that the role Locke actually gives to signified ideas is not susceptible to this criticism. Second, it appears to make Locke guilty of at least some degree of semantic idealism. I argue that Locke is not guilty of this and that he makes a proper distinction between the non-referential relation that holds between a word and its primary signification and the referential relation that holds between a word and things the word is used to speak about. (shrink)

Religious exclusivism, or the idea that only one religion can be true, fuels hatred and conflict in the modern world. Certain objections to religious pluralism, together with associated defences of exclusivism are flawed. I defend a moderate religious pluralism, according to which the truth of one religion does not automatically imply the falsity of others. The thought that we can respect persons even when holding them mistaken strains credulity when we are dealing with religious convictions. Moreover, exclusivism is informed by (...) inadequate approaches to discourse about transcendence. The intentional-descriptivist approach to reference is not comprehensively adequate, and yet is assumed by some objections to pluralism. The irreducibly metaphorical character of much religious language means that differences between world religions can be more apparent than real. Approaches to religious education should embrace a moderate religious pluralism. (shrink)

Whether assent ("acceptance") and dissent ("rejection") are thought of as speech acts or as propositional attitudes, the leading idea of rejectivism is that a grasp of the distinction between them is prior to our understanding of negation as a sentence operator, this operator then being explicable as applying to A to yield something assent to which is tantamount to dissent from A. Widely thought to have been refuted by an argument of Frege's, rejectivism has undergone something of a revival in (...) recent years, especially in writings by Huw Price and Timothy Smiley. While agreeing that Frege's argument does not refute the position, we shall air some philosophical qualms about it in Section 5, after a thorough examination of the formal issues in Sections 1-4. This discussion draws on - and seeks to draw attention to - some pertinent work of Kent Bendall in the 1970s. (shrink)

Virtue ethics and virtue epistemology shift the focus of evaluation from thin concepts to thick ones. Simon Blackburn has argued that a shift to thick ethical concepts dooms us to talking past one another. I contend that virtue epistemologists can answer Blackburn's objection, thus salvaging genuine disagreement about the epistemically thick. Section I introduces the standard cognitivist and non-cognitivist analyses of thick concepts. Section II argues that thick epistemic concepts are subject to combinatorial vagueness. I contend that virtue epistemologists share (...) vague concepts of intellectual virtue and open-mindedness. Section III addresses Allan Gibbard's worry that appealing to vagueness exacerbates the problem. I conclude that for genuine disagreement to occur, the parties must (1) share vague concepts; and (2) agree on the goals of their conceptual analyses. (shrink)

Metaphors are expressions in artificial, contrived, alien languages, and we understand metaphors by constructing translation schemes linking our natural, literal languages to these theoretically contrived metaphorical languages. The relation between a literal natural language and a metaphorical contrived language is like the relationship between a natively known language and a system of subsequently acquired languages etymologically emerging from that basic natural language. This model for understanding metaphorically contrived language is kin to the familiar model explaining how speakers of a language (...) such as Latin may come to decipher a language like Spanish through projecting to Spanish what they know of Latin without the aid of a translation manual. A metaphor is, thus, seen as a sentence in a nonnatural language, itself derived from and at least partially translatable with the natural, literal language of the metaphor's author or audience. (shrink)

This thesis attempts to clarify a particular epistemological problem which surfaces in Chomsky's attempt to attain an objective psychological distance from the language used in his scientific theorizing, in taking language as an epistemological object. This is accomplished by examining the presumed objectivity underlying the theoretical basis of Chomskyan linguistics in its hermeneutical relation to the theories of language advocated by Quine, Wittgenstein, and other philosophers.

A. P. A. Hutchinson. What's the Point of Elucidation? Metaphilosophy, 2007, vol. 38, no. 5, pages 691-713. Published by and copyright Wiley-Blackwell Publishing. The definitive version of this article is available from http://www.blackwell-synergy.com/.

C'est dans leur théorie générale des modes verbaux que les grammairiens philosophes classiques ont essayé de rendre compte de ce que nous appelons aujourd'hui les « aspects illocutoires de la signification », et de formuler les principes d'une sémantique des énoncés non déclaratifs. Je voudrais montrer, dans cette étude, ce qui fait l'originalité de la position adoptée par les grammairiens philosophes dans le cadre de leur théorie « idéationnelle » du langage : tout en reconnaissant la nécessité de recourir à (...) des critères formels pour identifier un mode particulier dans une langue particulière, ils estimaient que les peuples auraient pu, s'ils l'avaient jugé utile, marquer et distinguer formellement toute la variété des types d'illocution par des flexions verbales caractéristiques. Je distingue deux approches dans la théorie générale des modes verbaux de la Grammaire Générale classique : l'une est réductionniste, parce qu'elle réduit toutes nos énonciations à des expressions de jugements ; l'autre conçoit les modes comme des marqueurs d'actes de pensée. La première rappelle les tentatives de ceux qui, comme D. Lewis et D. Davidson, cherchent à interpréter les énoncés non déclaratifs en leur assignant des conditions de vérité ; la seconde s'apparente plutôt à la Théorie des Actes de Discours ou à l'approche proposée par E. Stenius. La première partie de cette étude présente, en s'inspirant de la méthodologie de I. Lakatos, la Grammaire Générale classique comme un programme de recherche scientifique. La seconde partie présente les deux approches mentionnées et examine leurs dévelop- pements respectifs.The Grammairiens philosophes of the classical period {circa 1660-1800) tried to accommodate, in their general theory of the moods of verbs, what we call today the " illocutionary aspects of meaning ", and to set the principles of a semantics for non-declarative sentences. I would like to show in this study in what consists the distinctive character of the approach proposed by the grammairiens philosophes in the framework of their " ideational " theory of language : they accept the necessity of formal criteria to identify a particular mood in a particular language, but they also held up the following position : the nations could have, if they had found it useful, marked and distinguished formally all the variety of illocution types by the use of characteristic verbal inflexions. I distinguish two approaches in the general theory of the verbal moods of classical Universal Grammar : one of them is reductionist, because it analyses all kinds of illocution as an expression of a judgment ; the other one conceives the moods as markers of the acts of the mind. The first one recalls the approach of those who, like D. Lewis and D. Davidson, try to interprète non-declarative sentences by assigning them truth- conditions ; and the second one bears more resemblances with the Theory of Speech Acts, or with the position defended by E. Stenius. The first part of this study exposes the framework of the classical Universal Grammar as a scientific research programme, following the methodology of I. Lakatos. The second part deals with the two approaches just mentioned and examine their respective developments. (shrink)

In a seminal paper of 1923 on vagueness, Bertrand Russell discussed some of the most important problems concerning the nature of vagueness, its extension within the language, and its relation to truth and logic. The present paper inquires into Russell's theory. The following topics will be analysed and discussed in turn in sections 1?5: Russell's definition of vagueness; his claim that all phrases are vague; his theory of the source of the vagueness in our language; his principles for the transmission (...) of vagueness; and his claim that logic is incompatible with vagueness. This paper is an attempt to give a rational reconstruction of Russell's position as expressed in his paper. Compatible passages in other of his works are also studied. (shrink)

Glenberg's account falls short in several respects. Besides requiring clearer explication of basic concepts, his account fails to recognize the autonomous nature of perception. His account of what is remembered, and its description, is too static. His strictures against connectionist modeling might be overcome by combining the notions of psychological space and principled learning in an embodied and situated network.

Abstract A survey of different senses of the term ?representation? is presented. The presentation is guided by the appraisal that this key term is employed in the cognitive literature in different senses and that the distinction between these is not always explicitly stated or appreciated. Furthermore, the different senses seem to be associated with different rationales for the postulation of representation. Given that there may be a lack of convergence between the various senses of the construct in question and the (...) rationales for its postulation, a clear differentiation of these may be crucial for any evaluation of the role of representations in cognition and in cognitive theory. (shrink)

Our aim is to explore and develop notions of objectivity that are useful and appropriate for critical realist empirical research. Part I explores the values associated with objectivity, Part II the linkages between objectivity and situated action. The introductory section of Part I explains why it is worthwhile in realist terms to develop the notion of objectivity; that is, develop it as opposed to remaining content with murky hidden notions or connotations that the term ‘objectivity’ brings to mind and that (...) tend to cause confusion in how it is accepted and rejected. This is important as a clarification exercise for social research. In Part II, we argue that the growth of knowledge requires engagement and critical analysis. We develop the idea that if subjects are engaging objectively with reality and its multiple standpoints, then the results will tend to be transformative. Again, our aim is to be of use to practical researchers by providing underlying arguments. Specifically, we argue that objectivity is a bridge between the subjectivities of subjects and the rest of the real world. (shrink)

Virtually all currently discussed accounts advert to a shift or replacement of a property or properties in describing what happens to the ordinary words in metaphors. And the mechanism of this shift tends to involve an overt or sometimes hidden appeal to similarity, or to some notion that is essentially connected to it. In the first part of the paper, I argue that this route is a dead end, and in the second part I offer my own preferred alternative. That (...) alternative is not argued for, or developed in detail – that is done in my book Objects of Metaphor – but my main aim in the paper is simply showing how radically it differs from the property route. (shrink)

I conclude that there is no such thing as a language, not if a language is anything like what many philosophers and linguists have supposed. There is therefore no such thing to be learned, mastered or born with. (Davidson, 1986, p. 446).

We consider an approach to some philosophical problems that I call the Method of Conceptual Articulation: to recognize that a question may lack any determinate answer, and to re-engineer concepts so that the question acquires a definite answer in such a way as to serve the epistemic motivations behind the question. As a case study we examine “Galileo’s Paradox”, that the perfect square numbers seem to be at once as numerous as the whole numbers, by one-to-one correspondence, and yet less (...) numerous, being a proper subset. I argue that Cantor resolved this paradox by a method at least close to that proposed—not by discovering the true nature of cardinal number, but by articulating several useful and appealing extensions of number to the infinite. Galileo was right to suggest that the concept of relative size did not apply to the infinite, for the concept he possessed did not. Nor was Bolzano simply wrong to reject Hume’s Principle (that one-to-one correspondence implies equal number) in the infinitary case, in favor of Euclid’s Common Notion 5 (that the whole is greater than the part), for the concept of cardinal number (in the sense of “number of elements”) was not clearly defined for infinite collections. Order extension theorems now suggest that a theory of cardinality upholding Euclid’s principle instead of Hume’s is possible. Cantor’s refinements of number are not the only ones possible, and they appear to have been shaped by motivations and fruitfulness, for they evolved in discernible stages correlated with emerging applications and results. Galileo, Bolzano, and Cantor shared interests in the particulate analysis of the continuum and in physical applications. Cantor’s concepts proved fruitful for those pursuits. Finally, Gödel was mistaken to claim that Cantor’s concept of cardinality is forced on us; though Gödel gives an intuitively compelling argument, he ignores the fact that Euclid’s Common Notion is also intuitively compelling, and we are therefore forced to make a choice. The success of Cantor’s concept of cardinality lies not in its truth (for concepts are not true or false), nor its uniqueness (for it is not the only extension of number possible), but in its intuitive appeal, and most of all, its usefulness to the understanding. (shrink)

Al final del Libro II del An Essay Concerning Human Understanding, Locke manifiesta que «hay una relación tan íntima entre las ideas y las palabras […] que es imposible hablar clara y distintamente de nuestro conocimiento, que consiste completamente en proposiciones, sin considerar, primero, la naturaleza, uso y significación del lenguaje». De varias y diversas maneras Locke insiste en la tesis que ‘las palabras significan ideas’. En este ensayo me propongo: 1º resumir la teoría general del lenguaje de Locke; 2º (...) revisar algunas objeciones regulares a esta teoría, y 3º intentar una explicación de lo que Locke quiere decir cuando enuncia que ‘las palabras significan ideas’. Con respecto a este punto mostraré, apoyando la interpretación de E. J. Ashworth, que en su tesis semántica Locke usa el vocablo ‘significar’ (‘signifying’) no del modo como es usado por los teóricos contemporáneos del siglo XX, sino en el sentido que algunos escolásticos usaron el término ‘significare’. At the very end of Book II of ‘An Essay Concerning Human Understanding’, Locke finds out «that there is so close a connexion between Ideas and Words […] that it is impossible to speak clearly and distinctly of our Knowledge, which all consists in Propositions, without considering first the Nature, Use, and Signification of Language». In various and diverse ways Locke defends the thesis that ‘Words signify Ideas’. My aim in this paper is first, to sum up Locke’s general theory of Language; secondly, to revisit some regular objections concerning this theory, and thirdly, to intend an explanation of what Locke means when he points out that ‘Words signify ideas’. In regard to this point, I shall hold up E. J. Ashworth’s interpretation to show that Locke semantic thesis involves the use of the verb ‘to signify’ (‘signifying’) not in the manner that it is used by contemporary theorists of the twentieth century, but in the sense that some scholastics used the term ‘significare’. (shrink)

THERE IS OFTEN UNCERTAINTY ABOUT WHETHER SOME PREDICATE APPLIES TO SOME PHYSICAL OBJECT OR STATE. THIS UNCERTAINTY MAY HAVE ANY OF THREE SOURCES - VAGUENESS OF A TERM, INEXACTNESS OF A CONCEPT, OR PRACTICAL DIFFICULTY IN DETERMINING ITS APPLICABILITY. VARIOUS WAYS IN WHICH CONCEPTUAL INEXACTNESS OR PRACTICAL DIFFICULTY MAY PRODUCE UNCERTAINTY ARE DISTINGUISHED. NEITHER TERMINOLOGICAL VAGUENESS, NOR PRACTICAL DIFFICULTY IN DETERMINING THE APPLICABILITY OF A CONCEPT ARE NECESSARY FEATURES OF EVERY LANGUAGE IN EVERY PHYSICAL WORLD, BUT CONCEPTUAL INEXACTNESS IS A (...) NECESSARY FEATURE OF EMPIRICAL CONCEPTS. THESE RESULTS ARE UTILIZED TO DETERMINE THE SOURCES AND NECESSITY OF IMPRECISION IN MEASUREMENT. (shrink)