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ISBN: 9780195372229 | 0195372220

Format: HardcoverPublisher: Oxford University Press

Pub. Date: 2/21/2013

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Hilbert's Programs & Beyondpresents 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 ofreductive structuralismand explores mathematical capacities via computational models.