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Oxford University Press, USA

After Godel: Platonism and Rationalism in Mathematics and Logic

After Godel: Platonism and Rationalism in Mathematics and Logic

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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 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.

Author: Richard Tieszen
Publisher: Oxford University Press, USA
Published: 07/15/2013
Pages: 272
Binding Type: Paperback
Weight: 0.85lbs
Size: 9.10h x 6.10w x 0.70d
ISBN: 9780199680610

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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