After Goedel

- Platonism and Rationalism in Mathematics and Logic

af


After Goedel
Format:
Bog, paperback
Udgivelsesdato:
16-05-2013
Sprog:
Engelsk
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Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Goedel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Goedel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Goedel's texts on foundations with materials from Goedel's Nachlass and from Hao Wang'sdiscussions with Goedel. As well as providing discussions of Goedel'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 Goedel's critique of Hilbert and Carnap, and of hissubsequent 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 ofpragmatic holism and rationalism.

Andre udgaver:

Bog, hardback

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ISBN13:
9780199680610
Vægt:
368 g
Dybde:
14 mm
Bredde:
156 mm
Højde:
235 mm
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    Richard Tieszen analyzes, develops, and defends the writings of Kurt Goedel (1906-1978) on the philosophy and foundations of mathematics and logic. Goedel's relation to the work of Plato, Leibniz, Husserl, and Kant is examined, and a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is proposed.

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After Goedel

- Platonism and Rationalism in Mathematics and Logic

af

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  • Forventet levering 06-09-2019

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