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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited

The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited

Franks, Curtis

Paperback

General MathematicsHistory & Philosophy of Science

ISBN10: 0521183898
ISBN13: 9780521183895
Publisher: Cambridge
Published: Dec 16 2010
Pages: 228
Weight: 0.85
Height: 0.50 Width: 5.90 Depth: 8.90
Language: English
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.

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