The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited / Edition 1

The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited / Edition 1

by Curtis Franks
ISBN-10:
0521514371
ISBN-13:
9780521514378
Pub. Date:
11/30/2009
Publisher:
Cambridge University Press

Hardcover

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Overview

The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited / Edition 1

Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between its conceptual problems and technical development.

Product Details

ISBN-13: 9780521514378
Publisher: Cambridge University Press
Publication date: 11/30/2009
Pages: 228
Product dimensions: 6.10(w) x 9.10(h) x 0.70(d)

Table of Contents

Preface; 1. A new science; 2. David Hilbert's naturalism; 3. Arithmetization; 4. Intensionality; 5. Interpreting G2 for Q; 6. Autonomy in context; Bibliography; Index.

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