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An Aristotelian Realist Philosophy of Mathematics

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Cover of 'An Aristotelian Realist Philosophy of Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Aristotelian Realist Point of View
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    Chapter 3 Uninstantiated Universals and ‘Semi-Platonist’ Aristotelianism
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    Chapter 4 Elementary Mathematics: The Science of Quantity
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    Chapter 5 Higher Mathematics: Science of the Purely Structural
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    Chapter 6 Necessary Truths about Reality
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    Chapter 7 The Formal Sciences Discover the Philosophers’ Stone
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    Chapter 8 Comparisons and Objections
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    Chapter 9 Infinity
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    Chapter 10 Geometry: Mathematics or Empirical Science?
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    Chapter 11 Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure
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    Chapter 12 Knowing Mathematics: Visualization and Understanding
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    Chapter 13 Knowing Mathematics: Proof and Certainty
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    Chapter 14 Explanation in Mathematics
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    Chapter 15 Idealization: An Aristotelian View
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    Chapter 16 Non-Deductive Logic in Mathematics
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    Chapter 17 Epilogue: Mathematics, Last Bastion of Reason
Attention for Chapter 14: Explanation in Mathematics
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