After Godel: Platonism and Rationalism in Mathematics and Logic - Brossura

Tieszen, Richard

Brossura

ISBN 10: 0199680612 ISBN 13: 9780199680610

Casa editrice: Oxford University Press, 2013

Riassunto

Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel'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 Gödel'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.

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Recensione:

Tieszen has long been one of the bridge builders in contemporary philosophy, who is engaged by the philosophical issues and studies them with a broad background and an open mind. There is much to be learned by this, and I am eagerly looking forward to Tieszen's continuation of this interesting and very valuable work. (Dagfinn Follesda, Philosophia Mathematica)

L'autore:

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 José State University in California.

Su questa edizione

• Editore: Oxford University Press
• Data di pubblicazione: 2013
• ISBN 10: 0199680612
• ISBN 13: 9780199680610
• Rilegatura: Copertina flessibile
• Numero di pagine: 258