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The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its
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The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History Hardcover - 2005

by William W. Tait


From the publisher

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 Gdel. 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.

First line

The crux to understanding Hilbert's conception of finitist mathematics (Hilbert, 1925, 1927) and (Hilbert and Bernays, 1934) is this question: In what sense can we prove general propositions, such as xy(x + y = y + x) about the natural numbers, without assuming the infinitude of numbers or some other infinite totality?

Details

  • Title The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History
  • Author William W. Tait
  • Binding Hardcover
  • Edition First Edition
  • Pages 342
  • Volumes 1
  • Language ENG
  • Publisher Oxford University Press, USA
  • Date 2005-02-10
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9780195141924 / 019514192X
  • Weight 1.37 lbs (0.62 kg)
  • Dimensions 9.54 x 6.56 x 1.06 in (24.23 x 16.66 x 2.69 cm)
  • Library of Congress subjects Mathematics - Philosophy, Mathematics - Philosophy - History
  • Library of Congress Catalog Number 2003066229
  • Dewey Decimal Code 510
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Hardback. New. 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 Goedel.
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The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History (Logic and...
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The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History (Logic and Computation in Philosophy)

by Tait, William

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by Tait, William

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