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detlefsen m proof knowledge mathematics 1992

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Textbook in PDF and DJVU formats This volume of essays tackles the main problem that arises when considering an epistemology for mathematics, the nature and sources of mathematical justification. Focusing both on particular and general issues, the essays from leading philosophers of mathematics raise important issues for our current understanding of mathematics. Is mathematical justification a priori or a posteriori ? What role, if any, does logic play in mathematical reasoning or inference? And how epistemologically important is the formalizability of proof? Michael Detlefsen has brought together an outstanding collection of essays, only two of which have previously appeared. It will be essential for philosophers and historians of mathematics interested in the nature of reasoning and justification. Notes on contributors Preface Proof as a source of truth Michael D.Resnik Reflections on the concept of a priori truth and its corruption by Kant William W.Tait Logicism Steven J.Wagner Empirical inquiry and proof Shelley Stillwell On the concept of proof in elementary geometry Pirmin Stekeler-Weithofer Mathematical rigor in physics Mark Steiner Foundationalism and foundations of mathematics Stewart Shapiro Brouwerian intuitionism Michael Detlefsen Index

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Detlefsen M. Proof and Knowledge in Mathematics 1992.djvu 2.1 MB
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detlefsen m proof knowledge mathematics 1992

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