The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited by Curtis Franks (Hardcover, 2009)

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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. The Autonomy of Mathematical Knowledge presents the philosophical ideas underlying David Hilbert's foundational program in a new light.

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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 Identifiers

PublisherCambridge University Press
ISBN-139780521514378
eBay Product ID (ePID)96040336

Product Key Features

Publication NameThe Autonomy of Mathematical Knowledge: Hilbert's Program Revisited
SubjectMathematics
Publication Year2009
TypeTextbook
FormatHardcover
LanguageEnglish
AuthorCurtis Franks
Number of Pages228 Pages

Dimensions

Item Height235 mm
Item Weight500 g
Item Width158 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorCurtis Franks
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