This important book provides a theory about the nature of fiction, and about the relation between the author, the reader and the fictional text. The approach is philosophical: that is to say, the author offers an account of key concepts such as fictional truth, fictional characters, and fiction itself. The book argues that the concept of fiction can be explained partly in terms of communicative intentions, partly in terms of a condition which excludes relations of counterfactual dependence between the world (...) and the text. This communicative model is then applied to the following problems: how can something be 'true in the story' without being explicitly stated in the text? In what ways does interpreting a fictional story depend upon grasping its author's intentions? Is there always a unique best interpretation of a fictional text? What is the correct semantics for fictional names? What is the nature of our emotional response to a fictional work? In answering these questions the author explores the complex interaction between author, reader, and text. This interaction requires the reader to construct a 'fictional author' - a character in the story whose personality, beliefs and emotional states must be interpreted if the reader is to grasp the meaning of the work. (shrink)

We usually consider literary thinking to be peripheral and dispensable, an activity for specialists: poets, prophets, lunatics, and babysitters. Certainly we do not think it is the basis of the mind. We think of stories and parables from Aesop's Fables or The Thousand and One Nights, for example, as exotic tales set in strange lands, with spectacular images, talking animals, and fantastic plots--wonderful entertainments, often insightful, but well removed from logic and science, and entirely foreign to the world of everyday (...) thought. But Mark Turner argues that this common wisdom is wrong. The literary mind--the mind of stories and parables--is not peripheral but basic to thought. Story is the central principle of our experience and knowledge. Parable--the projection of story to give meaning to new encounters--is the indispensable tool of everyday reason. Literary thought makes everyday thought possible. This book makes the revolutionary claim that the basic issue for cognitive science is the nature of literary thinking. In The Literary Mind, Turner ranges from the tools of modern linguistics, to the recent work of neuroscientists such as Antonio Damasio and Gerald Edelman, to literary masterpieces by Homer, Dante, Shakespeare, and Proust, as he explains how story and projection--and their powerful combination in parable--are fundamental to everyday thought. In simple and traditional English, he reveals how we use parable to understand space and time, to grasp what it means to be located in space and time, and to conceive of ourselves, other selves, other lives, and other viewpoints. He explains the role of parable in reasoning, in categorizing, and in solving problems. He develops a powerful model of conceptual construction and, in a far-reaching final chapter, extends it to a new conception of the origin of language that contradicts proposals by such thinkers as Noam Chomsky and Steven Pinker. Turner argues that story, projection, and parable precede grammar, that language follows from these mental capacities as a consequence. Language, he concludes, is the child of the literary mind. Offering major revisions to our understanding of thought, conceptual activity, and the origin and nature of language, The Literary Mind presents a unified theory of central problems in cognitive science, linguistics, neuroscience, psychology, and philosophy. It gives new and unexpected answers to classic questions about knowledge, creativity, understanding, reason, and invention. (shrink)

Charles Crittenden here offers an original solution to one of the traditional dilemmas of philosophy—whether there can be any thing not existing, since to say that some thing does not exist seems to presuppose its existence. Drawing on the tools of Wittgensteinian philosophy and speech act theory, Crittenden argues that we can and often do make reference to unreal objects such as fictional characters, though they do not exist in any sense at all.

Mathematics tells us there exist infinitely many prime numbers. Nominalist philosophy, introduced by Goodman and Quine, tells us there exist no numbers at all, and so no prime numbers. Nominalists are aware that the assertion of the existence of prime numbers is warranted by the standards of mathematical science; they simply reject scientific standards of warrant.

Based on da Costa's and French's notions of partial structures and pragmatic truth, this paper examines two possible characterizations of the concept of empirical adequacy, one depending on the notion of partial isomorphism, the other on the hierarchy of partial models of phenomena, and both compatible with an empiricist view. These formulations can then be employed to illuminate certain aspects of scientific practice.An empirical theory must single out a specific part of the world, establish reference to that part, and say—by (...) way of contingent, substantial claim about the world—that its models fit that. Now, how exactly can this be done? Bas C. van Fraassen. (shrink)

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument (...) for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct. (shrink)

This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or anti-platonism is true.

The main task of this paper is to defend anti-platonism by providing an anti-platonist (in particular, a fictionalist) account of the indispensable applications of mathematics to empirical science.

A distinction between the epistemic practices in mathematics and in the empirical sciences is rehearsed to motivate the epistemic role puzzle. This is distinguished both from Benacerraf's 1973 epistemic puzzle and from sceptical arguments against our knowledge of an external world. The stipulationist position is described, a position which can address this puzzle. Methods of avoiding the stipulationist position by using pure logic to provide knowledge of mathematical abstracta are discussed and criticized.

This book argues against the view that mathematical knowledge is a priori,contending that mathematics is an empirical science and develops historically,just as ...

The view that mathematical objects are indefinite in nature is presented and defended, hi the first section, Field's argument for fictionalism, given in response to Benacerraf's problem of identification, is closely examined, and it is contended that platonists can solve the problem equally well if they take the view that mathematical objects are indefinite. In the second section, two general arguments against the intelligibility of objectual indefiniteness are shown erroneous, hi the final section, the view is compared to mathematical structuralism, (...) and it is shown that a version of structuralism should be understood as embracing the same view. (shrink)

It is advisable to treat some sorts of discourse about fiction with the aid of an intensional operator "in such-And-Such fiction...." the operator may appear either explicitly or tacitly. It may be analyzed in terms of similarity of worlds, As follows: "in the fiction f, A" means that a is true in those of the worlds where f is told as known fact rather than fiction that differ least from our world, Or from the belief worlds of the community in (...) which the fiction originated. (shrink)

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...) brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre (...) Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations. (shrink)

An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.

Originally published in 1966. This volume analyzes the general structure of scientific theories, their relation to experience and to non-scientific thought. Part One is concerned with the logic underlying empirical discourse before its subjection to the various constraints, imposed by the logico-mathematical framework of scientific theories upon their content. Part Two is devoted to an examination of this framework and, in particular, to showing that the deductive organization of a field of experience is by that very act a modification of (...) empirical discourse and an idealization of its subject matter. Part Three analyzes the concordance between theories and experience and the relevance of science to moral and religious beliefs. (shrink)

In this book, Zalta attempts to lay the axiomatic foundations of metaphysics by developing and applying a (formal) theory of abstract objects. The cornerstones include a principle which presents precise conditions under which there are abstract objects and a principle which says when apparently distinct such objects are in fact identical. The principles are constructed out of a basic set of primitive notions, which are identified at the end of the Introduction, just before the theorizing begins. The main reason for (...) producing a theory which defines a logical space of abstract objects is that it may have a great deal of explanatory power. It is hoped that the data explained by means of the theory will be of interest to pure and applied metaphysicians, logicians and linguists, and pure and applied epistemologists. (shrink)

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

It is argued that there can only be a small-finite number of mathematical objects; that these objects range from the very concrete to the very abstract; and that mathematics is essentially not concerned with objects but with concepts. This viewpoint is described as mentalist and is upheld over Platonism, intuitionism, and formalism.

This paper contains a defense against anti-realism in mathematics in the light both of incompleteness and of the fact that mathematics is a ‘cultural artifact.’. Anti-realism (here) is the view that theorems, say, of aritltmetic cannot be taken at face value to express true propositions about the system of numbers but must be reconstrued to be about somctliiiig else or about nothing at all. A ‘bite-the-bullet’ aspect of the defease is that, adopting new axioms, liitherto independent, is not. a matter (...) of recognizing trutlis wliich had previoasly been unrecognized, but of extending the domain of what is true. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

The configurational dimension, in turn, displays temporal features that may be opposed to these "features" of episodic time. The configurational arrangement makes the succession of events into significant wholes that are the correlate of the act of grouping together. Thanks to this reflective act—in the sense of Kant's Critique of Judgment—the whole plot may be translated into one "thought." "Thought," in this narrative context, may assume various meanings. It may characterize, for instance, following Aristotle's Poetics, the "theme" that accompanies the (...) "fable" or "plot" of a tragedy.1 "Thought" may also designate the "point" of the Hebraic maschal or of the biblical parable, concerning which Jeremias observes that the point of the parable is what allows us to translate it into a proverb or an aphorism. The term "thought" may also apply to the "colligatory terms" used in history writing, such terms as "the Renaissance," "the Industrial Revolution," and so on, which, according to Walsh and Dray, allow us to apprehend a set of historical events under a common denominator. In a word, the correlation between thought and plot supersedes the "then" and "and then" of mere succession. But it would be a complete mistake to consider "thought" as a-chronological. "Fable" and "theme" are as closely tied together as episode and configuration. The time of fable-and theme, if we may make of this a hyphenated expression, is more deeply temporal than the time of merely episodic narratives. · 1. It may be noted in passing that this correlation between "theme" and "plot" is also the basis of Northup Frye's "archetypal" criticism. Paul Ricoeur is professor of philosophy at the Université de Paris and John Nuveen Professor at the University of Chicago. Some of his works to appear in English are Husserl: An Analysis of His Phenomenology, Main Trends in Philosophy, and The Conflict of Interpretations: Essays on Hermeneutics. His previous contribution to Critical Inquiry, "The Metaphorical Process as Cognition, Imagination, and Feeling," appeared in the Autumn 1978 issue. (shrink)

This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics (...) is about things that really exist. (shrink)