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Autonomy of Mathematical Knowledge

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Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundat... Weiterlesen
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Beschreibung

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.

Klappentext

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.

Produktinformationen

Titel: Autonomy of Mathematical Knowledge
Untertitel: Hilbert's Program Revisited
Autor:
EAN: 9780511636608
ISBN: 978-0-511-63660-8
Digitaler Kopierschutz: Adobe-DRM
Format: E-Book (pdf)
Herausgeber: Cambridge University Press
Genre: Philosophie
Anzahl Seiten: 228
Veröffentlichung: 08.10.2009
Jahr: 2009
Untertitel: Englisch