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The Nature of Mathematical Knowledge
Kitcher, Philip
Professor of Philosophy, University of Minnesota
Print publication date: 1985 (this edition)
Published to Oxford Scholarship Online:
Print ISBN-13: 978-0-19-503541-4
doi:10.1093/0195035410.003.0010
9 Patterns of Mathematical Change
Philip Kitcher
Describes some types of inference and principles of theory choice that are involved in the growth of mathematics.
Keywords:
inference
,
mathematical knowledge
,
observation
,
scientific knowledge
,
theory
,
theory change
doi:10.1093/0195035410.003.0010
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Contents
Full Book Contents
Preface
Introduction
1 Epistemological Preliminaries
2 The Apriorist Program
3 Mathematical Intuition
4 Conceptualism
5 Toward a Defensible Empiricism
6 Mathematical Reality
7 Mathematical Change and Scientific Change
8 Mathematical Changes
9 Patterns of Mathematical Change
10 The Development of Analysis: A Case Study
Bibliography
Index
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