Introduction: mathematization and the language of nature -- Realists and nominalists : language and mathematics before the scientific revolution -- Ontology recapitulates epistemology : Gassendi, epicurean atomism, and nominalism -- British empiricism, nominalism, and constructivism -- Three mathematicians : constructivist epistemology and the new mathematical methods -- Conclusion: mathematization and the nature of language.

The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining (...) abstract mathematical entities; second, the thoughts that we create in imagining infinite mathematical entities are bounded by external conditions. (shrink)

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the (...) physical world and are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

In this book Christopher Norris develops the case for scientific realism by tackling various adversary arguments from a range of anti-realist positions. Through a close critical reading he shows how they fail to make adequate sense on any rational, consistent and scientifically informed survey of the evidence. Along the way he incorporates a number of detailed case-studies from the history and philosophy of science. Norris devotes much of his discussion to some of the most prominent and widely influential (...) source-texts of anti-realism. Also included are the sophisticated versions of verificationism developed by thinkers such as Michael Dummett and Bas van Fraassen. Central to Norris's argument is a prolonged engagement with the once highly influential but nowadays neglected work of Norwood Russell Hanson. This book will be welcomed especially by readers who possess some knowledge of the background debate and who wish to deepen and extend their understanding of these issues beyond an introductory level. (shrink)

Wilfrid Sellars, Idealism, and Realism is the first study of its kind to address a range of realist and idealist views inspired by psychological nominalism. Bringing together premier analytic realists and distinguished defenders of German idealism, it reveals why psychological nominalism is one of the most important theories of the mind to come out the 20th century. The theory, first put forward by Wilfrid Sellars, argues that language is the only means by which humans can learn (...) the types of socially shared practices that permit rationality. Although wedded to important aspects of German idealism, Sellars' theory is couched in bold realist terms of the analytic tradition. Those who are sympathetic to German idealism find this realist's appropriation of German idealism problematic. Wilfrid Sellars, Idealism and Realism thus creates a rare venue for realists and idealists to debate the epistemic outcome of the mental processes they both claim are essential to experience. Their resulting discussion bridges the gap between analytic and continental philosophy. In providing original and accessible chapters on psychological nominalism, this volume raises themes that intersect with numerous disciplines: the philosophy of mind, philosophy of language, epistemology, and metaphysics. It also provides clarity on arguably the best available account of why humans can reason, be self-aware, know, and act as agents. (shrink)

The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining (...) abstract mathematical entities; second, the thoughts that we create in imagining infinite mathematical entities are bounded by external conditions. (shrink)

This is a study, in two volumes, of one of the longest-standing philosophical problems: the problem of universals. In volume I David Armstrong surveys and criticizes the main approaches and solutions to the problems that have been canvassed, rejecting the various forms of nominalism and 'Platonic' realism. In volume II he develops an important theory of his own, an objective theory of universals based not on linguistic conventions, but on the actual and potential findings of natural science. He (...) thus reconciles a realism about qualities and relations with an empiricist epistemology. The theory allows, too, for a convincing explanation of natural laws as relations between these universals. (shrink)

This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to (...) philosophy of mathematics. It belongs to anti-realism, but can meet those challenges and can perhaps convince some realists, at least those who are also naturalists. (shrink)

As the subtitle and consecutive division of contents indicate, these two volumes are integral parts of a single work and one may wonder why they were not published as such since the indices and bibliography in the second volume refers to both works. The basic tripartite thesis of the combined volumes may be stated thus. Both universal properties and universal relationships exist independently of the classifying mind, but not in factual independence of particulars; what universals in fact exist, however, must (...) be determined not a priori by considering what predicates are applied to particulars by linguistic convention, but a posteriori according to the norms of an empiricistic epistemology. Hence, Armstrong calls his theory "a posteriori," or simply, "scientific realism," since it is the task of total science, conceived of as a total inquiry, to determine which monadic or polyadic predicates do correspond to universals and which do not. The first volume is essentially a critical appraisal of classical approaches to the nominalism-realism controversy, whereas the second is a more positive presentation of the author’s own theory and grows out of the prior critique. Thus the second volume can be read independently of the first, especially since a brief recapitulation of the argument of volume one is given at its beginning. Similarly, a brief summary of the argument of volume two is appended to volume one. Thus the two volumes, which apparently grew out of materials presented in independent, but related, seminars, could still be used as such. Only this and the possibility of a student buying the overly expensive work by parts seems to justify the peculiar way in which this set was published. (shrink)

In this article I trace some of the main tenets of the struggle between nominalism and realism as identified by John Deely in his Four ages of understanding. The aim is to assess Deely’s claim that the Age of Modernity was nominalist and that the coming age, the Age of Postmodernism — which he portrays as a renaissance of the late middle ages and as starting with Peirce — is realist. After a general overview of how Peirce interpreted (...) the nominalist-realist controversy, Deely gives special attention to Thomas Aquinas’s On being and essence and the realism it entails. A subsequent discussion of the Modern Period shows that the issue of nominalism and realism is very much tied up with di¤erent conceptions of the intellect. Deely credits the theory of evolution with bringing us a conception of the intellect that is closer to that of the Middle Ages and that opens the way for a truly realistic ‘‘fourth age’’ of the understanding. (shrink)

The author reviews and summarizes, in as jargon-free way as he is capable of, the form of anti-platonist anti-nominalism he has previously developed in works since the 1980s, and considers what additions and amendments are called for in the light of such recently much-discussed views on the existence and nature of mathematical objects as those known as hyperintensional metaphysics, natural language ontology, and mathematical structuralism.

Introduction. PHilosophy of Language and Linguistics: The Formal Turn Piotr Stalmaszczyk Gottlob Frege, Philosophy of Language, and Predication Piotr Stalmaszczyk Philosophy, Linguistics and Semantic Interpretation Christian Bassac An Unresolved Issue: Nonsense in Natural Language and Non-Classical Logical and Semantic Systems Elzbieta Chrzanowska-Kluczewska Varieties of Context-Dependence Tadeusz Ciecierski The Logos of Semantic Structure Marie Du í, Bjørn Jespersen and Pavel Materna The Good Samaritan and the Hygienic Cook: A Cautionary Tale About Linguistic Data Chris Fox (...) The Meaning of Multiple Quantified Sentences: Where Formal Semantics Meets Psycholinguistics Justyna Grudzinska The Hybrid Theory of Reference for Proper Names Filip Kawczynski On the Nature of Statistical Language Laws Agnieszka Kulacka Vagueness and Contextualism Joanna Odrowaz-Sypniewska The Myth of Semantic Structure Jaroslav Peregrin Scalar Implicatures, Communication and Language Evolution Salvatore Pistoia Reda Semantics and Contextuality: The Case of Pia s Leaves Stefano Predelli Is Logico-Semantical Analysis of Natural Language Expressions a Translation? Jirí Raclavský Beyond the Fregean Myth: The Value of Logical Values Fabien Schang Modal Calculus of Illocutionary Logic Andrew Schumann Subjectivity in Philosophy and Linguistics Barbara Sonnenhauser Asymmetrical Semantics Mieszko Talasiewicz Truth: An Anti-realist Adequacy Condition Luca Tranchini Belief Reports: Defaults, Intentions and Scorekeeping Giacomo Turbanti On Truth in Time Bartosz Wieckowski Order William J. SUllivan Indexes. (shrink)

What is the status of the thesis that sense determines reference in frege's philosophy of language? frege's endorsement of the thesis is notorious, and it has been heavily criticized in recent years. however, it seems to me that both with regard to its exact interpretation and to the role it plays in frege's philosophy of language the thesis is still in need of further clarification. the main claim of the present article is that a certain "realistic" (...) interpretation of the above thesis is implied by frege's main argument for the distinction between sense and reference, and that under this interpretation the thesis meets most of the objections raised against it. the central point of this interpretation is that the sense of a term incorporates conditions that provide ways for picking out an "independently identifiable" object (a "given" object) as the referent of the term. this interpretation is "realistic" in character in that it implies that the conditions incorporated in the sense of a term are not necessarily true of its referent. (shrink)

The topic of this book is a comparison between holism in the philosophy and language and social holism on the one hand and holism about space-time and quantum systems on the other hand. The main claim is that holism in the humanities and holism in fundamental physics come under the same substantial, general conception of holism. That is to say: arguments to the effect that the holism of the mental is unscientific or that the mental is separated from (...) the physical owing to holism are not sound. The holism of the mental fits into a world-view that bases itself on scientific realism. The addressees of this book are all those who care about our view of the world and ourselves in the spirit of an argumentative examination of different positions. No familiarity with physics is presupposed. (shrink)

In this paper, I consider the role of exact symmetries in theories of physics, working throughout with the example of gravitation set in Newtonian spacetime. First, I spend some time setting up a means of thinking about symmetries in this context; second, I consider arguments from the seeming undetectability of absolute velocities to an anti-realism about velocities; and finally, I claim that the structure of the theory licences us to interpret models which differ only with regards to the absolute (...) velocities of objects as depicting the same physical state of affairs. In defending this last claim, I consider how ideas and resources from the philosophy of language may usefully be brought to bear on this topic. (shrink)

The tone of this paper is largely critical. Therefore, I would like to begin by praising Donald McCloskey and Arjo Klamer for their exciting and provocative initiative in the metatheory of economics. They have done us a great favor by opening our eyes to some hidden aspects in the intellectual practices of economists. They have shown that economics is rhetoric; it is persuasion, discourse, conversation, and negotiation, to use their favorite phrases. They have provided plausible arguments and illuminating examples to (...) convince us of the literary character of economic reasoning, notwithstanding the formal languages used by economists and the positivist pretensions typical of the self-image of the discipline. However, McCloskey and Klamer have been less successful in trying to convince us of what economics is not. In particular, it concerns me that they have opened up a gap between rhetoric and realism. They seem to think that because economics has a rhetorical character, it cannot be understood in realist terms. I will argue that this view is mistaken: rhetoric and realism do not exclude each other, but rather they are capable of being combined in a coherent methodology of economics. It is a valuable contribution to import the insights of the newly rehabilitated rhetoric to the metatheory of economics; but it is unnecessary to marry them with enthusiasm about the fashionable anti-realism of Richard Rorty and others. While this is my overall thesis, it is clear that only initial steps towards its substantiation can be taken in this paper. I intend to proceed as follows. I will first make an attempt to locate the problem at hand in the history of the metatheory of economics. Then I will point out those elements in rhetorical metatheory as practiced and defended by Klamer and McCloskey that apparently have anti-realist or non-realist assumptions or implications, either directly or via considerations of scientific rationality. Next I will formulate a few concepts of realism, the differences between which have been ignored in the methodology of economics to this day. Then I will make preliminary attempts to inquire into the mutual compatibility of the rhetorical insights provided by McCloskey and Klamer and realism in this context. I will show that, in principle, there should be no insurmountable obstacles to combining the two; in some of its senses, realism will even turn out to be presupposed by the rhetorical approach. I do not primarily intend to argue for realism as such in this paper. Instead, I will argue for the compatibility of realism and rhetoric. The argument is based on Klamer's and McCloskey's own commitments; in this sense, the argument is immanent to their rhetorical approach. As a final point, I will argue that one should not be indifferent about realism: it does make a difference in economics and in the methodology of economics whether rhetoric is accepted with or without realism. (shrink)

Starting with Gottlob Frege's foundational theories of sense and reference, Miller provides a useful introduction to the formal logic used in all subsequent philosophy of language. He communicates a sense of active philosophical debate by confronting the views of the early theorists concerned with building systematic theories - such as Frege, Bertrand Russell, and the logical positivists - with the attacks mounted by sceptics - such as W.O. Quine, Saul Kripke, and Ludwig Wittgenstein. This leads to important excursions (...) into related areas of metaphysics, philosophy of mind, and cognitive science that present the more recent attempts to save the notions of sense and meaning by philosophers such as Paul Grice, John Searle, Jerry Fodor, Colin McGinn, and Crispin Wright. Miller then returns to the systematic program by examining the formal theories of Donald Davidson, concluding with a chapter surveying the relevance of philosophy of language to the broader metaphysical debates between realists and anti-realists. Miller's clear, engaged, and coherently structured approach makes Philosophy of Language an ideal text for undergraduate courses. The guides to further reading provided in each chapter help the reader pursue interesting topics further and facilitate using the book in conjunction with primary sources. (shrink)

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two (...) heights, for example, is a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

In this chapter, the author offers a selective critical history in which he traces the difference between the tendency which Michael Dummett represents and the philosophers among whom Timothy Williamson is naturally placed to a difference in metaphysics which has much longer roots. He suggests that the ultimate source of the kind of role Dummett gives to thought is Hume's skeptical view of necessity, with its famous consequences for metaphysics. The philosophy of language is the key to the (...) most fundamental philosophy. The author argues that the ordinary language tradition had its origins, at least, in anti‐realism about modality, and continued throughout its history to take an attitude to philosophy in general, and metaphysics in particular, which is hard to justify without that anti‐realism ‐ even if it is characteristic of the philosophers in this tradition that they did not generally attempt to justify it. (shrink)

This is a critical history of analytic philosophy from its inception in the late-19th century to the present day. The book focuses on the connections between the four leading movements in the field - logical realism, logical positivism, ordinary language analysis and linguistic essentialism.

According to the indispensability argument, scientific realists ought to believe in the existence of mathematical entities, due to their indispensable role in theorising. Arguably the crucial sense of indispensability can be understood in terms of the contribution that mathematics sometimes makes to the super-empirical virtues of a theory. Moreover, the way in which the scientific realist values such virtues, in general, and draws on explanatory virtues, in particular, ought to make the realist ontologically committed to abstracta. This paper shows that (...) this version of the indispensability argument glosses over crucial detail about how the scientific realist attempts to generate justificatory commitment to unobservables. The kind of role that the Platonist attributes to mathematics in scientific reasoning is compatible with nominalism, as far as scientific realist arguments are concerned. (shrink)

This book offers a critical account of the fundamental elements of Leibniz's philosophy, as they manifest themselves in his metaphysics and philosophy of language. Emphasis is placed upon his hitherto neglected doctrine of nominalism, which states that only concrete individuals exist and that there are no such things as abstract entities – no numbers, geometrical figures or other mathematical objects, nor any abstractions such as space, time, heat, light, justice, goodness, or beauty. Using this doctrine as (...) a basis, the book considers the core of Leibniz's metaphysics and philosophy of language, including the well‐known principles of Contradiction, Sufficient Reason, Continuity and Individuation, and the concepts of Possible World, Individual Substance, Truth, and Necessity. (shrink)

In this chapter, the author offers a selective critical history in which he traces the difference between the tendency which Michael Dummett represents and the philosophers among whom Timothy Williamson is naturally placed to a difference in metaphysics which has much longer roots. He suggests that the ultimate source of the kind of role Dummett gives to thought is Hume's skeptical view of necessity, with its famous consequences for metaphysics. The philosophy of language is the key to the (...) most fundamental philosophy. The author argues that the ordinary language tradition had its origins, at least, in anti‐realism about modality, and continued throughout its history to take an attitude to philosophy in general, and metaphysics in particular, which is hard to justify without that anti‐realism ‐ even if it is characteristic of the philosophers in this tradition that they did not generally attempt to justify it. (shrink)

This article examines some of S. Lem’s statements about his philosophical and worldview positions regarding the mysterious nature of language and the linguistic sign, the connection between language, mind and reality. The main goal of the paper is to understand what texts on the philosophy of language the Polish thinker read and what attitude he has formed towards them. Lem is the follower of an analytical intellectual culture that focuses on the naturalistic worldview and the consequences (...) of the “linguistic turn” in Western philosophy. For Lem, language is not only an interesting philosophical object, but also a complex precise instrument of his own creative thinking. In this regard, the philosophy of language for a writer cannot be based only on logical-linguistic atomistic methodology. Lem seeks in his contemporary interdisciplinary methods ways to combine realistic and anti-realist positions. Many concepts, such as “the effect of semantic transparency”, “polymorphic language model”, “variation model” are quite correlated with modern theories of language and require additional philosophical comments. (shrink)

Quentin Smith’s new book appears at a time appropriate for judgment of what analytic ethics and philosophy of religion have accomplished during a century of their existence. His emphasis is on ethics, presumably because only recently analytic philosophers have devoted attention to the philosophy of religion. Much of the book is a judicious historical account that distinguishes four stages in the development of analytic philosophy: logical realism, logical positivism, ordinary language analysis, and what Smith calls (...) linguistic essentialism. It begins with a sympathetic discussion of Moore’s Principia Ethica, which, mainly through the discussion in its first chapter of simple and complex properties, and of definitions, inaugurated analytic ethics, indeed, together with Russell’s “On Denoting,” analytic philosophy generally. Moore’s chief interest was in substantive ethical propositions, e.g., that personal affection and aesthetic appreciation are the greatest goods, but his successors usually did not go beyond the first chapter, which alone is included in the standard anthologies. (shrink)

1. In “Empiricism and the Philosophy of Mind,” Sellars argues that the notion of “self-authenticating nonverbal episodes” that would provide a foundation for empirical knowledge is a myth; nothing merely causal, not already in conceptual shape, could possibly play the justificatory role required of such a foundation. Rorty takes Quine, in “Two Dogmas,” to make the complementary point that the notion of analytic claims true by virtue of meaning, of self-authenticating verbal episodes that might provide a foundation for another (...) sort for knowledge, is again a myth. A third moment in the dismantling of the myth of a foundation—this time for the contentfulness of our thoughts rather than for the truth of our beliefs—is due to Rorty himself. As he argues in “Realism and Reference”, the notion of reference as a nonintentional or “external” word-world relation that would ground our thoughts’ representational bearing on things, and so explain how thoughts can so much as purport to be true, again involves illicit appeal to the idea that independent of what we take it as an object can have cognitive significance. An external relation of reference cannot serve as the unmoved mover of the contentfulness or aboutness of thought. Nor, if Quine is right about the breakdown of the analytic/synthetic distinction, can meanings or word-word relations play this role. (shrink)

The subject matter of this work covers the issues or problems listed below: * The problem of the ontological status of language signs and a more general philosophical problem connected with it: * What is language as a system of signs, which – on the one hand – serves to: 1) represent our knowledge about the reality which is being recognized, and, on the other one to: 2) a. explore and better cognize or discover it, b. describe it (...) in an adequate manner, and c. enable users to make interpersonal communication? All the pragmatic functions of language require carrying out its logical-philosophical analysis, and this means both regarding its syntax and semantics. Such an analysis is not possible without determining the following: How are signs perceived and what is their ontological nature in the so-called functional approach towards logical semiotics of natural language, founded on two ways of their usage: either as signs which we use in concrete situational or situational-language contexts or as isolated signs detached from such contexts? In the first case, they are language tokens (concretes), existing material objects perceived through the senses, with a fixed temporal-spatial location, in the other one – they are non-concretes and as such (as the majority of researchers in the field of philosophy and linguistics accept) – abstract objects, language types. The type-token distinction (differentiation between abstract and concrete) has already acquired a certain status in contemporary philosophy and is of considerable importance to metaphysics and epistemology in particular. Indeed, it is most often illustrated with reference to language signs (words, expressions) as the distinction type/token of a sign, introduced into semiotics by Ch. S. Peirce. In the semiotic analysis, and also in the linguistic one, there are used both types and tokens of signs, however, often without paying due attention to when it is said about types and when about tokens. This is related to the problems which are still considered by the philosophy of language: What is the type? What is the token (specimen)? What are the mutual relations between the type and the token? Disputes concerning providing answers to these questions are related to existential issues dealing with the ontological status of these language signs and two currents within the ontology of language, remaining under the influence of two fundamental concepts formed in the debate: nominalism and realism. The author presents in brief different stances on the above-mentioned issues or problems, as well as argues that from the logical point of view: 1) working out any theoretical conception of language must take into account its bi-aspectual characteristics: as a language of expression-tokens and as a language of expression-types; 2) advocating either of the standpoints: (a) types exist independent of their tokens, or (b) it is not so, can be omitted in syntactic considerations on language; 3) mutual relations between sign-tokens differ from the mutual relations between sign-types, yet; 4) determination of the mutual relation between sign-types and sign-tokens depends on accepting either of the standpoints: (a) or (b); 5) semantic or semantic-pragmatic concepts of language, such as meaning, denotation, interpretation should be defined exclusively for types of tokens, but their definitions require certain reference to the functions which sign-tokens perform in the language (words, expressions), or to relations between them; 6) The concept of an act of language communication differs from general language communication: the first one is defined by means of sign-tokens, whereas the other one – with the use of sign-types. (shrink)

What are words? What makes two token words tokens of the same word-type? Are words abstract entities, or are they (merely) collections of tokens? The ontology of words tries to provide answers to these, and related questions. This article provides an overview of some of the most prominent views proposed in the literature, with a particular focus on the debate between type-realist, nominalist, and eliminativist ontologies of words.

Anthropocentrism in philosophy is deeply paradoxical. Ethics investigates the human good, epistemology investigates human knowledge, and antirealist metaphysics holds that the world depends on our cognitive capacities. But humans good and knowledge, including their language and concepts, are empirical matters, whereas philosophers do not engage in empirical research. And humans are inhabitants, not 'makers', of the world. Nevertheless, all three can be drastically reinterpreted as making no reference to humans.".

One of the most important students of Franz Brentano was Anton Marty, who made it his task to develop a philosophy of language on the basis of Brentano’s analysis of mind. It is most unfortunate that Marty does not receive the attention he deserves, primarily due to his detailed and distracting polemics. In the analysis presented here his philosophy of language and other aspects of his thought, such as his ontology , are examined first and foremost (...) in their positive rather than critical character. The analysis is moreover supplemented by translations of four important works by Marty, including his entire work On the Origin of Language. These are in fact the first English translations of any substantial writings by him. The resulting picture that emerges from the analysis and translations is that Marty has much to say that proves to be of enduring interest for the philosophy of language on a range of topics, especially the meanings of statements, of emotive expressions, and of names as regards both their communicative and their ontological aspects. The volume will be of interest not only to philosophers and historians of philosophy, but also to historians of linguistics and psychology. (shrink)

For his contribution to the general series of Harper Essays in Philosophy, Hilary Putnam selects only one of several philosophical problems in the interrelated fields of logic and/or mathematics that have interested him, viz. the nominalism-realism issue: Are the "abstract entities" spoken of in these sciences, such as classes, number, functions from various kinds of things to real numbers, things that "really exist" or not? He is concerned to present a detailed argument for his own "qualified (...) class='Hi'>realism" rather than a survey of current opinions. He argues persuasively that while a nominalist would like to eliminate all talk of logical classes such as S, M and P in favor of such circumlocutions as "The following schema turns out to be true no matter what words or phrases of the appropriate kind one may substitute for the letters S, M and P," etc., such descriptions avoid references to classes only by replacing them with equally nonphysical entities such as "all possible words, strings of letters, formalized languages," etc., and that the notion of truth or validity itself cannot be applied to physical objects or material inscriptions, but to what sentences mean or say, and the things they say are not physical. He rejects Quine's distinction that first order statements or arguments such as "All crows are black; all back things absorb light, therefore," etc., are logical truths, whereas "For all classes S, M and P, if all S is M and all M is P, then all S is P," are mathematical. This runs counter, he says, to the whole logical tradition. The natural intention of the logician in setting down first-order schemata is to assert implicitly their validity and that itself is a second-order assertion. All logic, therefore, including quantification theory, involves references to classes. This also highlights the difficulty of distinguishing between logic and mathematics in terms of first and second order logic, for if only the former is stipulated to be the proper domain of logic, then we must accept the awkward consequence that validity and implication turn out to be notions that belong to mathematics rather than logic. Since the nominalistic position presents the same problems for mathematics as for logic, Putnam sees no point in trying to draw any sharp distinction between the two, which explains his initial broad interpretation of logic as including all of pure mathematics and also the title of the book. To avoid some of the classical objections to a realistic interpretation of sets, he points up the distinction between a predicative and impredicative conception of set. Whereas the latter speaks of all sets of individuals as a well-defined totality, the former defines "set" only for a particular language N or a hierarchic series of languages, N, N', N", etc. in which it is still nonsensical to speak of "all sets" without qualification, though one can speak of "all" up to any given level in the series. While some form of set theory is necessary for all the sciences, both formal and physical, one can get along with predicative set theory. Putnam's basic argument for realism then comes down to this. Quantification over mathematical entities such as things, real numbers and functions is indispensable for logic, mathematics and the physical sciences and this commits one to accept the existence of such entities. In the final stages of the argument he examines and rejects the alternative options to realism, namely that realistic locutions about such entities represent logically deviant forms of speech, or that mathematical truths are "true by pure convention" or that such "entities" are useful fictions. In the closing paragraphs he indicates two other philosophical problems in logic that merit extensive discussion, namely the problem of equivalent constructions which is relevant to the question of whether mathematics needs "foundations" and the problem of whether we may not have to revise logical principles as we have geometrical ones on the grounds that in some sense logic may have empirical foundations.--A. B. W. (shrink)

Mereological nominalism is the thesis that properties are identical to mereological fusions of their instances. Cumpa and Declos have raised two problems for the view. This paper is a reply to both problems.

In 1792 Dugald Stewart published Elements of the philosophy of the human mind. In its section on abstraction he declared himself to be a nominalist. Although a few scholars have made brief reference to this position, no sustained attention has been given to the central role that it played within Stewart’s early philosophy of mind. It is therefore the purpose of this essay to unpack Stewart’s nominalism and the intellectual context that fostered it. In the first three (...) sections I aver that his nominalism emanated from his belief that objects of the mind—qualities, ideas and words—were signs that bore no necessary relation to the external objects that they were meant to represent. More specifically, it was these signs that were arranged into systems of thought by the ‘operations of the mind’. The next three sections suggest that his treatment of words as signs most probably originated in his views on language and medicine and that his nominalistic philosophy of mind could also be extended to systems that sought to classify the natural world. I conclude by suggesting several avenues of enquiry that could be pursued by future scholars interested in excavating Stewart’s thought. (shrink)

Biological naturalism claims that all psychological phenomena can be causally, though not ontologically, reduced to neurological processes, where causal reduction is usually understood in terms of supervenience. After presenting John Searle’s version of biological naturalism in some detail, I argue that the particular supervenience relation on which this account depends is dubious. Specifically, the fact that either realism or nominalism is the case implies that there is one fact about belief that does not supervene on neurophysiological processes. Biological (...) naturalism is thereby defeated because it cannot account for belief. Ialso address three likely objections to this argument. (shrink)

A challenger of traditions and boundaries A pivotal figure in 20th-century philosophy, Nelson Goodman has made seminal contributions to metaphysics, epistemology, aesthetics, and the philosophy of language, with surprising connections that cut across traditional boundaries. In the early 1950s, Goodman, Quine, and White published a series of papers that threatened to torpedo fundamental assumptions of traditional philosophy. They advocated repudiating analyticity, necessity, and prior assumptions. Some philosophers, realizing the seismic effects repudiation would cause, argued that (...) class='Hi'>philosophy should retain the familiar framework. Others considered the arguments compelling, but despaired of doing philosophy without the framework. Goodman disagreed with both factions. Rather than regretting the loss of structure, he capitalized on the opportunities that arise when the strictures of tradition are loosened. Available individually by volume 1. Nominalism, Constructivism, and Relativism in the Work of Nelson Goodman (0-8153-2609-2) 296 pages 2. Nelson Goodman's New Riddle of Induction (0-8153-2610-6) 312 pages 3. Nelson Goodman's Philosophy of Art (0-8153-2611-4) 284 pages 4. Nelson Goodman's Theory of Symbols and its Applications (0-8153-2612-2) 344 pages. (shrink)

This book surveys the thesis that all religions are alike in referring and relating to a single, common transcendent and sacred reality. It treats this thesis as one in the philosophy of religion. In the first chapter pluralism is defined and its core is distinguished from its particular character and defence in the writings of John Hick and others. The underpinnings of pluralism are held to lie in an understanding of reference in religion, the definition of religion, the nature (...) of salvation, the character of religious language, an appropriate epistemology for the philosophy of religion, and, crucially, the nature of a realist perspective on the religions. A notion of referential realism is set out which when applied to religion makes the pluralist thesis plausible. A chapter is devoted to each of these main themes. The conclusion offers a brief survey of the implications of pluralism for our general view of religion. (shrink)

The Quine-Putnam Indispensability argument is the argument for treating mathematical entities on a par with other theoretical entities of our best scientific theories. This argument is usually taken to be an argument for mathematical realism. In this chapter I will argue that the proper way to understand this argument is as putting pressure on the viability of the marriage of scientific realism and mathematical nominalism. Although such a marriage is a popular option amongst philosophers of science and (...) mathematics, in light of the indispensability argument, the marriage is seen to be very unstable. Unless one is careful about how the Quine-Putnam argument is disarmed, one can be forced to either mathematical realism or, alternatively, scientific instrumentalism. I will explore the various options: (i) finding a way to reconcile the two partners in the marriage by disarming the indispensability argument (Jody Azzouni [2], Hartry Field [13, 14], Alan Musgrave [18, 19], David Papineau [21]); (ii) embracing mathematical realism (W.V.O. Quine [23], Michael Resnik [25], J.J.C. Smart [27]); and (iii) embracing some form of scientific instrumentalism (Ot´ avio Bueno [7, 8], Bas van Fraassen [30]). Elsewhere [11], I have argued for option (ii) and I won’t repeat those arguments here. Instead, I will consider the difficulties for each of the three options just mentioned, with special attention to option (i). In relation to the latter, I will discuss an argument due to Alan Musgrave [19] for why option (i) is a plausible and promising approach. From the discussion of Musgrave’s argument, it will emerge that the issue of holist versus separatist theories of confirmation plays a curious role in the realism–antirealism debate in the philosophy of mathematics. I will argue that if you take confirmation to be an holistic matter—it’s whole theories (or significant parts thereof) that are confirmed in any experiment—then there’s an inclination to opt for (ii) in order to resolve the marital tension outlined above.. (shrink)

Philosophy of Language in Uruguay examines works of philosophy of language through epistemology, linguistics, and cognitive sciences to discover how philosophy of language has developed in Uruguay in the last two decades.

The paper begins by considering Russell's criticism of Meinong's theory of objects and Sosein that center on the notions of negation and existence. The discussion raises issues about functions, properties, predication, the "concept" of existence and relations. These lead to a consideration of recent revivals of moderate nominalism in the form of trope theories. An argument against such theories suggests a fundamental principle of ontology and a reformulation of the nominalism-realism dispute.

The paper begins by considering Russell's criticism of Meinong's theory of objects and Sosein that center on the notions of negation and existence. The discussion raises issues about functions, properties, predication, the "concept" of existence and relations. These lead to a consideration of recent revivals of moderate nominalism in the form of trope theories. An argument against such theories suggests a fundamental principle of ontology and a reformulation of the nominalism-realism dispute.

Since its inception in the 1970's, critical realism has grown to address a broad range of subjects, including economics, philosophy, science, and religion. It has also gone through a number of key evolutions that have changed its direction, and seen it develop into a complex and mature branch of philosophy. Critical Realism: A Brief Introduction, is the first book to look back over the entire field of critical realism in one concise and accessible volume. As (...) the originator and chief exponent of CR, Roy Bhaskar draws from his experience of countless introductory lectures, seminars, workshops and courses to give a definitive and compelling account of this increasingly influential, international and multi-disciplinary approach. Its eight chapters examine the following topics: Transcendental Realism and the Philosophy of Science Critical Naturalism and the Philosophy of Social Science Explanatory Critique and Ethics Language and Critical Discourse Analysis The Development of Critical Realism Interdisciplinarity and Applied Critical Realism Modernity, Theories of Science and Metacritique The Advantages of Critical Realism Everything from the definition of CR and its applicability to the social sciences, to explanations of dialectical critical realism and the philosophy of meta-reality are addressed in detail, making this the essential introduction for students of CR at all levels. (shrink)

Taking Wittgenstein's love of music as my impetus, I approach aporetic problems of epistemic relativity through a round of three overlapping (canonical) inquiries delivered in contrapuntal (higher and lower) registers. I first take up the question of scepticism surrounding ‘groundless knowledge’ and contending paradigms in On Certainty (physics versus oracular divination, or realism versus idealism) with attention given to the role of ‘bedrock’ certainties in providing stability amidst the Heraclitean flux. I then look into the formation of sedimented bedrock (...) knowledge, or practices of knowing, by comparing Wittgenstein's remarks on animal habituation and initiate training into human forms of life. In the latter case, mastery of techniques—our common education—secures agreement in judgment. Finally, I entertain Wittgenstein's obscure references to Einstein's Relativity in Zettel, showing initiate training as a way of ‘setting the clocks’ with variable degrees of certainty, relative to the language‐games played. Together, these three approaches help us to stop the ‘endless circling’ when philosophers try to address knowledge questions through the logic of object and designation, or verification of correspondence between propositions and things. Instead, attention moves to the way we educate our children and how we employ agreements and bedrock certainties in practices. (shrink)

Since at least Hume and Kant, philosophers working on the nature of aesthetic judgment have generally agreed that common sense does not treat aesthetic judgments in the same way as typical expressions of subjective preferences—rather, it endows them with intersubjective validity, the property of being right or wrong regardless of disagreement. Moreover, this apparent intersubjective validity has been taken to constitute one of the main explananda for philosophical accounts of aesthetic judgment. But is it really the case that most people (...) spontaneously treat aesthetic judgments as having intersubjective validity? In this paper, we report the results of a cross‐cultural study with over 2,000 respondents spanning 19 countries. Despite significant geographical variations, these results suggest that most people do not treat their own aesthetic judgments as having intersubjective validity. We conclude by discussing the implications of our findings for theories of aesthetic judgment and the purpose of aesthetics in general. (shrink)

How do religions refer to reality in their language and symbols, and which reality do they envisage and encounter? on the basis of some examples of an understanding of religion without reference to reality, I first answer the question of what ”realism’ is. realism has been an opposite concept to nominalism, idealism, empiricism and antirealism. The paper concentrates especially on the most recent formation of realism in opposition to antirealism. In a second section the consequences (...) for philosophy of religion and theology are considered. How the reality, as it is considered in philosophy of religion and in theology, has to be characterised, if and how this reality is relevant for human beings, and what its relation is to everything else, can only be answered and clarified in a presentation in a language that is specific for this reality, the reality of God. (shrink)