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Author : Hartry H. Field
Publisher : Wiley-Blackwell
ISBN 13 : 9780631180876
Total Pages : 290 pages
Book Rating : 4.1/5 (88 download)
Download or read book Realism, Mathematics, and Modality written by Hartry H. Field and published by Wiley-Blackwell. This book was released on 1991-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hartry H. Field
Publisher : Wiley-Blackwell
ISBN 13 : 9780631163039
Total Pages : 290 pages
Book Rating : 4.1/5 (63 download)
Download or read book Realism, Mathematics, and Modality written by Hartry H. Field and published by Wiley-Blackwell. This book was released on 1989-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stuart Brock
Publisher : Routledge
ISBN 13 : 1317494261
Total Pages : 226 pages
Book Rating : 4.3/5 (174 download)
Download or read book Realism and Anti-Realism written by Stuart Brock and published by Routledge. This book was released on 2014-12-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a bewildering variety of ways the terms "realism" and "anti-realism" have been used in philosophy and furthermore the different uses of these terms are only loosely connected with one another. Rather than give a piecemeal map of this very diverse landscape, the authors focus on what they see as the core concept: realism about a particular domain is the view that there are facts or entities distinctive of that domain, and their existence and nature is in some important sense objective and mind-independent. The authors carefully set out and explain the different realist and anti-realist positions and arguments that occur in five key domains: science, ethics, mathematics, modality and fictional objects. For each area the authors examine the various styles of argument in support of and against realism and anti-realism, show how these different positions and arguments arise in very different domains, evaluate their success within these fields, and draw general conclusions about these assorted strategies. Error theory, fictionalism, non-cognitivism, relativism and response-dependence are taken as the most important positions in opposition to the realist and these are explored in depth. Suitable for advanced level undergraduates, the book offers readers a clear introduction to a subject central to much contemporary work in metaphysics, epistemology and philosophy of language.
Author : Marcin Trepczyński
Publisher : BRILL
ISBN 13 : 9004445951
Total Pages : 316 pages
Book Rating : 4.0/5 (44 download)
Download or read book Philosophical Approaches to the Foundations of Logic and Mathematics written by Marcin Trepczyński and published by BRILL. This book was released on 2021-01-25 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the "roots" of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use.
Author : Geoffrey Hellman
Publisher : Cambridge University Press
ISBN 13 : 110863074X
Total Pages : 167 pages
Book Rating : 4.1/5 (86 download)
Download or read book Mathematical Structuralism written by Geoffrey Hellman and published by Cambridge University Press. This book was released on 2018-11-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives.
Author : Bob Hale
Publisher : OUP Oxford
ISBN 13 : 0191572292
Total Pages : 384 pages
Book Rating : 4.1/5 (915 download)
Download or read book Modality written by Bob Hale and published by OUP Oxford. This book was released on 2010-03-25 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophy of modality investigates necessity and possibility, and related notions—are they objective features of mind-independent reality? If so, are they irreducible, or can modal facts be explained in other terms? This volume presents new work on modality by established leaders in the field and by up-and-coming philosophers. Between them, the papers address fundamental questions concerning realism and anti-realism about modality, the nature and basis of facts about what is possible and what is necessary, the nature of modal knowledge, modal logic and its relations to necessary existence and to counterfactual reasoning. The general introduction locates the individual contributions in the wider context of the contemporary discussion of the metaphysics and epistemology of modality.
Author : Mikhail Epstein
Publisher : BRILL
ISBN 13 : 9004398341
Total Pages : 379 pages
Book Rating : 4.0/5 (43 download)
Download or read book A Philosophy of the Possible written by Mikhail Epstein and published by BRILL. This book was released on 2019-06-07 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Mikhail Epstein offers a systematic theory of modalities (the actual, possible, and necessary), as applied to the discourse of philosophy in its post-Kantian and especially post-Derridean perspectives. He relies on his own experience of living in the USSR and the US, dominated respectively by imperative and possibilist modalities. Possibilism assumes that a thing or event acquires meaning only in the context of its multiple possibilities, inviting counterfactual and conditional modes of description. The author focuses on the creative potentials of possibilistic thinking and its heuristic value. The book demonstrates the range of modal approaches to society, culture, ethics, and language, and outlines potentiology as a new philosophical discipline interacting with ontology and epistemology.
Author : Hartry H. Field
Publisher : Oxford University Press
ISBN 13 : 0198777914
Total Pages : 180 pages
Book Rating : 4.1/5 (987 download)
Download or read book Science Without Numbers written by Hartry H. Field and published by Oxford University Press. This book was released on 2016 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.
Author : John P. Burgess
Publisher : Clarendon Press
ISBN 13 : 0191519022
Total Pages : 272 pages
Book Rating : 4.1/5 (915 download)
Download or read book A Subject With No Object written by John P. Burgess and published by Clarendon Press. This book was released on 1997-01-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. A Subject With No Object cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts, with minimal prerequisites, of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.
Author : Mark Balaguer
Publisher : Cambridge University Press
ISBN 13 : 1009346040
Total Pages : 151 pages
Book Rating : 4.0/5 (93 download)
Download or read book Mathematical Anti-Realism and Modal Nothingism written by Mark Balaguer and published by Cambridge University Press. This book was released on 2023-01-05 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element defends mathematical anti-realism against an underappreciated problem with that view-a problem having to do with modal truthmaking. Part I develops mathematical anti-realism, it defends that view against a number of well-known objections, and it raises a less widely discussed objection to anti-realism-an objection based on the fact that (a) mathematical anti-realists need to commit to the truth of certain kinds of modal claims, and (b) it's not clear that the truth of these modal claims is compatible with mathematical anti-realism. Part II considers various strategies that anti-realists might pursue in trying to solve this modal-truth problem with their view, it argues that there's only one viable view that anti-realists can endorse in order to solve the modal-truth problem, and it argues that the view in question-which is here called modal nothingism-is true.
Author : Francesco Berto
Publisher : Oxford University Press
ISBN 13 : 0198812795
Total Pages : 333 pages
Book Rating : 4.1/5 (988 download)
Download or read book Impossible Worlds written by Francesco Berto and published by Oxford University Press. This book was released on 2019 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latter half of the 20 ...
Author : Ebba Gullberg
Publisher :
ISBN 13 : 9789174591804
Total Pages : 177 pages
Book Rating : 4.5/5 (918 download)
Download or read book Objects and Objectivity written by Ebba Gullberg and published by . This book was released on 2011 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Lewis
Publisher : Wiley-Blackwell
ISBN 13 : 9780631224266
Total Pages : 288 pages
Book Rating : 4.2/5 (242 download)
Download or read book On the Plurality of Worlds written by David Lewis and published by Wiley-Blackwell. This book was released on 2001-02-08 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.
Author : Russell Marcus
Publisher : Bloomsbury Publishing
ISBN 13 : 1472532910
Total Pages : 849 pages
Book Rating : 4.4/5 (725 download)
Download or read book An Historical Introduction to the Philosophy of Mathematics: A Reader written by Russell Marcus and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Author : Mircea Dumitru
Publisher : Oxford University Press
ISBN 13 : 0192598287
Total Pages : 431 pages
Book Rating : 4.1/5 (925 download)
Download or read book Metaphysics, Meaning, and Modality written by Mircea Dumitru and published by Oxford University Press. This book was released on 2020-10-27 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first edited collection of papers on the work of one of the most seminal and profound contemporary philosophers. Over the last five decades, Kit Fine has made thought-provoking and innovative contributions to several areas of systematic philosophy, including philosophy of language, metaphysics, and the philosophy of mathematics, as well as to a number of topics in philosophical logic. These contributions have helped reshape the agendas of those fields and have given fresh impetus to a number of perennial debates. Fine's work is distinguished by its technical sophistication, philosophical breadth, and independence from current orthodoxy. A blend of sound common-sense combined with a virtuosity in argumentation and constructive thinking is part and parcel of Kit Fine's lasting contributions to current trends in analytic philosophy. Researchers and students in philosophy, logic, linguistics, and cognitive science will benefit alike from these critical contributions to Fine's novel theories on meaning and representation, arbitrary objects, essence, ontological realism, and the metaphysics of modality, and will come away with a better understanding of the issues within contemporary analytic philosophy with which they deal.
Author : Charles Parsons
Publisher : Cambridge University Press
ISBN 13 : 1139467271
Total Pages : 400 pages
Book Rating : 4.1/5 (394 download)
Download or read book Mathematical Thought and its Objects written by Charles Parsons and published by Cambridge University Press. This book was released on 2007-12-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.
Author : Alexander R. Pruss
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1441142045
Total Pages : 321 pages
Book Rating : 4.4/5 (411 download)
Download or read book Actuality, Possibility, and Worlds written by Alexander R. Pruss and published by Bloomsbury Publishing USA. This book was released on 2011-05-19 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Actuality, Possibility and Worlds is an exploration of the Aristotelian account that sees possibilities as grounded in causal powers. On his way to that account, Pruss surveys a number of historical approaches and argues that logicist approaches to possibility are implausible. The notion of possible worlds appears to be useful for many purposes, such as the analysis of counterfactuals or elucidating the nature of propositions and properties. This usefulness of possible worlds makes for a second general question: Are there any possible worlds and, if so, what are they? Are they concrete universes as David Lewis thinks, Platonic abstracta as per Robert M. Adams and Alvin Plantinga, or maybe linguistic or mathematical constructs such as Heller thinks? Or is perhaps Leibniz right in thinking that possibilia are not on par with actualities and that abstracta can only exist in a mind, so that possible worlds are ideas in the mind of God?
