OXFORD UNIVERSITY PRESS

After Godel: Platonism and Rationalism in Mathematics and Logic

ISBN : 9780199606207

Price(incl.tax): 
¥10,769
Author: 
Richard L. Tieszen
Pages
258 Pages
Format
Hardcover
Size
162 x 240 mm
Pub date
May 2011
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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 sh

Index: 

Preface
1. Setting the Stage
2. Consistency, and the Ascent to Platonic Rationalism
3. Godel's Path From Hilbert and Carnap to Husserl
4. A New Kind of Platonism
5. Consciousness, Reason, and Intentionality
6. Constituted Platonism, Reason, and Mathematical Knowledge
7. Minds and Machines
8. Reason, Science, and Evidence
Bibliography
Index

About the author: 

Richard Tieszen is the author of Phenomenology, Logic, and the Philosophy of Mathematics and Mathematical Intuition, along with numerous papers and reviews on the philosophy of mathematics, philosophy of logic, and phenomenology. He co-edited Between Logic and Intuition: Essays in Honor of Charles Parsons, and is Professor of Philosophy at San Jose State University in California.

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