Hilbert's Programs and Beyond

Wilfried Sieg (Patrick Suppes Professor of Philosophy, Patrick Suppes Professor of Philosophy, Carnegie Mellon University)

Hilbert's Programs and Beyond
Format
Paperback
Publisher
Oxford University Press Inc
Country
United States
Published
15 August 2019
Pages
464
ISBN
9780190948191

Hilbert’s Programs and Beyond

Wilfried Sieg (Patrick Suppes Professor of Philosophy, Patrick Suppes Professor of Philosophy, Carnegie Mellon University)

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.

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