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Mathematical Knowledge, Objects and Applications

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Cover of 'Mathematical Knowledge, Objects and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Bibliography: Mark Steiner’s Main Works
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    Chapter 2 Explaining and Explaining Away in Mathematics: The Role of “Fitness”
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    Chapter 3 Purity and Explanation: Essentially Linked?
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    Chapter 4 Explanation and Realism: Interwoven Themes in the Philosophy of Mathematics
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    Chapter 5 Logic Discovered and Logic Imposed (A Purim Story)
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    Chapter 6 Potential Infinity and De Re Knowledge of Mathematical Objects
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    Chapter 7 Platonism and the Proto-ontology of Mathematics: Learning from the Axiom of Choice
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    Chapter 8 Wittgenstein, Russell, and Our Concept of the Natural Numbers
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    Chapter 9 Kripke, Quine and Steiner on Representing Natural Numbers in Set Theory
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    Chapter 10 Ordinals vs. Cardinals in ℕ and Beyond
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    Chapter 11 Mathematical Analogies in Physics: The Curious Case of Gauge Symmetries
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    Chapter 12 Observer Dependent Physicalism: A New Argument for Reductive Physicalism and for Scientific Realism
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    Chapter 13 Human Thought, Mathematics, and Physical Discovery
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    Chapter 14 Hume’s View of Geometry
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    Chapter 15 Steiner’s Wittgenstein
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    Chapter 16 The Turning Point in Wittgenstein’s Philosophy of Mathematics: Another Turn
Attention for Chapter 8: Wittgenstein, Russell, and Our Concept of the Natural Numbers
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