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Hilbert's Programs and Beyond

Wilfried Sieg author

Format:Hardback

Publisher:Oxford University Press Inc

Published:7th Mar '13

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Hilbert's Programs and Beyond cover

Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze techniques and results of "classical" proof theory as well as their dramatic expansion in modern proof theory. This intellectual experience finally opens horizons for reflection on the nature of mathematics in the 21st century: Sieg articulates his position of reductive structuralism and explores mathematical capacities via computational models.

[T]his collection is rich in both historical detail and philosophical ideas, living up to Sieg's exhortations for philosophy of mathematics to integrate conceptual, technical, and historical aspects into its perspective. * Oran Magal, Philosophia Mathematica *
Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them. * Stewart Shapiro, Notre Dame Philosophical Reviews *

ISBN: 9780195372229

Dimensions: 168mm x 239mm x 38mm

Weight: 797g

464 pages