The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited - Couverture rigide

Franks, Curtis

 
9780521514378: The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited

Synopsis

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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À propos de l?auteur

Curtis Franks is Assistant Professor in the Department of Philosophy, The University of Notre Dame.

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Autres éditions populaires du même titre

9780521183895: The Autonomy of Mathematical Knowledge: Hilbert's Program Revisited

Edition présentée

ISBN 10 :  0521183898 ISBN 13 :  9780521183895
Editeur : Cambridge University Press, 2011
Couverture souple