Proof and Knowledge in Mathematics

Michael Detlefsen
Routledge | 1992 | 256 páginas | 

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These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether logical and mathematical differ, and if formalization plays a significant role in mathematical justification.

CONTENTS
1 PROOF AS A SOURCE OF TRUTH
Michael D.Resnik
2 REFLECTIONS ON THE CONCEPT OF A PRIORI TRUTH AND ITS CORRUPTION BY KANT
William W.Tait
3 LOGICISM
Steven J.Wagner
4 EMPIRICAL INQUIRY AND PROOF
Shelley Stillwell
5 ON THE CONCEPT OF PROOF IN ELEMENTARY GEOMETRY
Pirmin Stekeler-Weithofer
6 MATHEMATICAL RIGOR IN PHYSICS
Mark Steiner
7 FOUNDATIONALISM AND FOUNDATIONS OF MATHEMATICS
Stewart Shapiro
8 BROUWERIAN INTUITIONISM
Michael Detlefsen