Front Matter
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Table of Contents
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Acknowledgements
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Introduction
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Proof:: Its Nature and Significance
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Implications of Experimental Mathematics for the Philosophy of Mathematics
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On the Roles of Proof in Mathematics
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When Is a Problem Solved?
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Mathematical Practice as a Scientific Problem
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Mathematical Domains:: Social Constructs?
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The Existence of Mathematical Objects
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Mathematical Objects
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Mathematical Platonism
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The Nature of Mathematical Objects
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When is One Thing Equal to Some Other Thing?
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Extreme Science:: Mathematics as the Science of Relations as Such
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What is Mathematics?: A Pedagogical Answer to a Philosophical Question
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What Will Count as Mathematics in 2100?
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Mathematics Applied:: The Case of Addition
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Probability—A Philosophical Overview
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Glossary of Common Philosophical Terms
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About the Editors
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