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Humanizing Mathematics and its Philosophy

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Table of Contents

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    Book Overview
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    Chapter 1 An Interview with Reuben Hersh
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    Chapter 2 Nine Decades
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    Chapter 3 Pluralism as Modeling and as Confusion
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    Chapter 4 “Now” Has an Infinitesimal Positive Duration
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    Chapter 5 Review of How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics
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    Chapter 6 Can You Say What Mathematics Is?
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    Chapter 7 The Exact Sciences and Non-Euclidean Logic
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    Chapter 8 Xenomath!
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    Chapter 9 Cognitive Networks: Brains, Internet, and Civilizations
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    Chapter 10 Reuben Hersh on the Growth of Mathematical Knowledge: Kant, Geometry, and Number Theory
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    Chapter 11 Do Mathematicians Have Responsibilities?
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    Chapter 12 School Mathematics and “Real” Mathematics
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    Chapter 13 What Is Mathematics and What Should It Be?
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    Chapter 14 Humanism About Abstract Objects
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    Chapter 15 Can Something Just Happen to Be True?
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    Chapter 16 The “Artificial Mathematician” Objection: Exploring the (Im)possibility of Automating Mathematical Understanding
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    Chapter 17 Wittgenstein, Mathematics, and the Temporality of Technique
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    Chapter 18 Gödel’s Legacy
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    Chapter 19 Varieties of Maverick Philosophy of Mathematics
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    Chapter 20 Does Reason Evolve? (Does the Reasoning in Mathematics Evolve?)
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    Chapter 21 Mathematical Theories as Models
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    Chapter 22 Mathematics for Makers and Mathematics for Users
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    Chapter 23 A Case Study in Reuben Hersh’s Philosophy: Bézout’s Theorem
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    Chapter 24 A Gift to Teachers
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    Chapter 25 The Philosophy of Reuben Hersh: A Nontechnical Assessment
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    Chapter 26 Friends and Former Comrades
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    Chapter 27 On the Nature of Mathematical Entities
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