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The Provenance of Pure Reason : Essays in the Philosophy of Mathematics and It's History - William Tait

The Provenance of Pure Reason

Essays in the Philosophy of Mathematics and It's History

Hardcover Published: 21st February 2005
ISBN: 9780195141924
Number Of Pages: 342

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William Tait is one of the most distinguished philosophers of mathematics of the last fifty years. This volume collects his most important published philosophical papers from the 1980's to the present. The articles cover a wide range of issues in the foundations and philosophy of mathematics, including some on historical figures ranging from Plato to GAdel.
Tait's main contributions were initially in proof theory and constructive mathematics, later moving on to more philosophical subjects including finitism and skepticism about mathematics. This collection, presented as a whole, reveals the underlying unity of Tait's work. The volume includes an introduction in which Tait reflects more generally on the evolution of his point of view, as well as an appendix and added endnotes in which he gives some interesting background to the original essays. This is an important collection of the work of one of the most eminent philosophers of mathematics in this generation.

"Due to the range of topics discussed in the book, and the clarity of the exposition, anyone interested in the philosophy of mathematics will find at least a few of the chapters of this book (and certainly the introduction) well worth reading." --The Mathematical Association of America "Due to the range of topics discussed in the book, and the clarity of the exposition, anyone interested in the philosophy of mathematics will find at least a few of the chapters of this book (and certainly the introduction) well worth reading." --The Mathematical Association of America

Finitismp. 21
Remarks on finitismp. 43
Truth and proof : the Platonism of mathematicsp. 61
Beyond the axioms : the question of objectivity in mathematicsp. 89
The law of excluded middle and the axiom of choicep. 105
Constructing cardinals from belowp. 133
Plato's second-best methodp. 155
Noesis : Plato on exact sciencep. 178
Wittgenstein and the "skeptical paradoxes"p. 198
Frege versus Cantor and Dedekind : on the concept of numberp. 212
Cantor's Grundlagen and the paradoxes of set theoryp. 252
Godel's unpublished papers on foundations of mathematicsp. 276
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780195141924
ISBN-10: 019514192X
Series: Logic and Computation in Philosophy
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 342
Published: 21st February 2005
Publisher: Oxford University Press Inc
Country of Publication: US
Dimensions (cm): 24.3 x 16.2  x 2.6
Weight (kg): 0.63