Description: After Godel: Platonism and Rationalism in Mathematics and Logic [Hardcover] Tieszen, Richard Product Overview Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Godel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Godel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Godel's texts on foundations with materials from Godel's Nachlass and from Hao Wang's discussions with Godel. As well as providing discussions of Godel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Godel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism. Read more Details Publisher : Oxford University Press; First Edition (June 20, 2011) Language : English Hardcover : 245 pages ISBN-10 : 019960620X ISBN-13 : 07 Item Weight : 1.01 pounds Dimensions : 9.21 x 6.14 x 0.63 inches Best Sellers Rank: #7,027,854 in Books (See Top 100 in Books) #1,248 in Logic (Books) #3,553 in Mathematics History #5,896 in Philosophy of Logic & Language #1,248 in Logic (Books) #3,553 in Mathematics History We have been selling used books since 2012, and we've learned that the most important thing is doing good business. Honesty is our policy. Free Shipping We ship worldwide. We have multiple warehouses around the world, so please note the extended handling time on certain listings.
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ISBN: 019960620X
ISBN10: 019960620X
ISBN13: 9780199606207
EAN: 9780199606207
MPN: does not apply
Brand: OXFORD UNIVERSITY PRESS
GTIN: 09780199606207
Number of Pages: 272 Pages
Publication Name: After Godel : Platonism and Rationalism in Mathematics and Logic
Language: English
Publisher: Oxford University Press, Incorporated
Publication Year: 2011
Subject: General, Logic, Science & Technology
Item Height: 0.9 in
Item Weight: 20.1 Oz
Type: Textbook
Author: Richard Tieszen
Subject Area: Mathematics, Philosophy, Biography & Autobiography
Item Length: 9.4 in
Item Width: 6.4 in
Format: Hardcover