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Hilberts Programs and Beyond Wilfried Sieg

Hilberts Programs and Beyond

Wilfried Sieg

Published February 1st 2013
ISBN : 9780195372229
Hardcover
464 pages
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 About the Book 

Hilberts Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilberts work to the radical transformation of mathematics in the 19th century and bringMoreHilberts Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilberts 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.