Cantitate/Preț
Produs

Naturalism in Mathematics

Autor Penelope Maddy
en Limba Engleză Paperback – 28 iun 2000
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 in work 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 to metaphysical 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 axiomatic status 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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 34424 lei  31-37 zile
  OUP OXFORD – 28 iun 2000 34424 lei  31-37 zile
Hardback (1) 32804 lei  31-37 zile
  Clarendon Press – 13 noi 1997 32804 lei  31-37 zile

Preț: 34424 lei

Preț vechi: 39421 lei
-13% Nou

Puncte Express: 516

Preț estimativ în valută:
6590 6850$ 5464£

Carte tipărită la comandă

Livrare economică 25-31 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780198250753
ISBN-10: 0198250754
Pagini: 266
Dimensiuni: 139 x 216 x 15 mm
Greutate: 0.31 kg
Ediția:Revised
Editura: OUP OXFORD
Colecția OUP Oxford
Locul publicării:Oxford, United Kingdom

Recenzii

An excellent book ... The philosopher's task is not to provide external criticism, but rather to clarify debates in this so-called mathematical community. And Ms Maddy makes some fascinating (and very technical) steps in this direction.
'This book represents the culmination of Penelope Maddy's recent work in the philosophy of mathematics. . . . The book is beautifully written, tightly argued and makes compelling reading. I believe the position Maddy introduces and defends - set theoretic naturalism - is a significant and original addition to the philosophy of mathematics landscape, and one that will certainly attract a great deal of attention. . . . In sum, this is a very important book covering some fascinating terrain on the border between philosophy and mathematics.

Notă biografică

Penelope Maddy is Professor of Philosophy at the University of California, Irvine.