Name: After Godel: Platonism and Rationalism in Mathematics and Logic (en Inglés)
SKU: 4402695
Price: 2846.47 MXN
Availability: InStock
Author: Richard Tieszen
ISBN: 9780199606207

portada After Godel: Platonism and Rationalism in Mathematics and Logic (en Inglés)

After Godel: Platonism and Rationalism in Mathematics and Logic (en Inglés)

Formato

Libro Físico

Editorial

Oxford Univ Pr

Autor

Richard Tieszen

Año

2011

Idioma

Inglés

N° páginas

245

Encuadernación

Tapa Dura

Peso

1.25

ISBN13

9780199606207

N° edición

Categorías

Filosofía de las matemáticas
Historia de las matemáticas

After Godel: Platonism and Rationalism in Mathematics and Logic (en Inglés)

Richard Tieszen (Autor) · Oxford Univ Pr · Tapa Dura

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Reseña del libro "After Godel: Platonism and Rationalism in Mathematics and Logic (en Inglés)"

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.