Realism, Mathematics, and Modality
Author: Hartry H. Field
Publisher: Wiley-Blackwell
Published: 1991-01-01
Total Pages: 290
ISBN-13: 9780631180876
DOWNLOAD EBOOKRead and Download eBook Full
Author: Hartry H. Field
Publisher: Wiley-Blackwell
Published: 1991-01-01
Total Pages: 290
ISBN-13: 9780631180876
DOWNLOAD EBOOKAuthor: Hartry H. Field
Publisher: Wiley-Blackwell
Published: 1989-01-01
Total Pages: 290
ISBN-13: 9780631163039
DOWNLOAD EBOOKAuthor: Stuart Brock
Publisher: Routledge
Published: 2014-12-18
Total Pages: 226
ISBN-13: 1317494261
DOWNLOAD EBOOKThere 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
Published: 2021-01-25
Total Pages: 316
ISBN-13: 9004445951
DOWNLOAD EBOOKPhilosophical 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: Bob Hale
Publisher: OUP Oxford
Published: 2010-03-25
Total Pages: 384
ISBN-13: 0191572292
DOWNLOAD EBOOKThe 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: Mark Balaguer
Publisher: Cambridge University Press
Published: 2023-01-05
Total Pages: 151
ISBN-13: 1009346040
DOWNLOAD EBOOKThis 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: Geoffrey Hellman
Publisher: Cambridge University Press
Published: 2018-11-29
Total Pages: 167
ISBN-13: 110863074X
DOWNLOAD EBOOKThe 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: Mikhail Epstein
Publisher: BRILL
Published: 2019-06-07
Total Pages: 379
ISBN-13: 9004398341
DOWNLOAD EBOOKIn 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: Charles S. Chihara
Publisher: Oxford University Press, USA
Published: 1998
Total Pages: 368
ISBN-13:
DOWNLOAD EBOOKModal realism is the philosophical doctrine that there exist many possible worlds, of which the actual world is just one. This volume offers a critical exposition of the theory.
Author: Francesco Berto
Publisher: Oxford University Press
Published: 2019
Total Pages: 333
ISBN-13: 0198812795
DOWNLOAD EBOOKThe latter half of the 20 ...