ISBN: 9780198250753
ID: 978019825075
Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress inwork on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved, what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objective world of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view--realism--is assessed and finally rejected in favour of another-- naturalism--which attends less tometaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in the assessment of candidates for axiomaticstatus in set theory. Maddy''s clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines. Penelope Maddy, Books, Religion and Spirituality, Naturalism in Mathematics Books>Religion and Spirituality, Oxford University Press
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2000, ISBN: 0198250754
ID: 17933548351
[EAN: 9780198250753], Near Fine, [PU: Oxford University Press, Oxford], MATHEMATICS, Mathematics|History & Philosophy, Mathematics|Logic, Philosophy|General, Philosophy|Logic, 8vo
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2000
ISBN: 0198250754
ID: 18497815466
[EAN: 9780198250753], Neubuch, [PU: Oxford University Press], Mathematics|History & Philosophy, Mathematics|Logic, Philosophy|General, Philosophy|Logic
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ISBN: 0198250754
ID: 13288118134
[EAN: 9780198250753], Neubuch, Book Condition: Brand New * All orders are processed and shipped from Las Vegas, NV USA *, [PU: Oxford University Press]
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2014, ISBN: 0198250754
ID: 8990336186
[EAN: 9780198250753], Neubuch, [PU: OXFORD UNIV PR 01/12/2014], New Book. Shipped from UK. This item is printed on demand.
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Author: | |
Title: | Naturalism in Mathematics |
ISBN: | 9780198250753 |
Details of the book - Naturalism in Mathematics
EAN (ISBN-13): 9780198250753
ISBN (ISBN-10): 0198250754
Paperback
Publishing year: 2000
Publisher: OXFORD UNIV PR
264 Pages
Weight: 0,313 kg
Language: eng/Englisch
Book in our database since 27.10.2007 08:55:08
Book found last time on 12.06.2016 00:44:44
ISBN/EAN: 9780198250753
ISBN - alternate spelling:
0-19-825075-4, 978-0-19-825075-3
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