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Epistemology versus Ontology

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Cover of 'Epistemology versus Ontology'

Table of Contents

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    Book Overview
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    Chapter 1 Kant and Real Numbers
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    Chapter 2 Wittgenstein’s Diagonal Argument: A Variation on Cantor and Turing
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    Chapter 3 Truth and Proof in Intuitionism
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    Chapter 4 Real and Ideal in Constructive Mathematics
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    Chapter 5 In the Shadow of Incompleteness: Hilbert and Gentzen
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    Chapter 6 Evolution and Logic
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    Chapter 7 The “Middle Wittgenstein” and Modern Mathematics
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    Chapter 8 Primitive Recursive Arithmetic and Its Role in the Foundations of Arithmetic: Historical and Philosophical Reflections
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    Chapter 9 Type Theory and Homotopy
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    Chapter 10 A Computational Interpretation of Forcing in Type Theory
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    Chapter 11 Program Testing and the Meaning Explanations of Intuitionistic Type Theory
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    Chapter 12 Normativity in Logic
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    Chapter 13 Constructivist Versus Structuralist Foundations
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    Chapter 14 Machine Translation and Type Theory
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    Chapter 15 Constructive Zermelo-Fraenkel Set Theory, Power Set, and the Calculus of Constructions
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    Chapter 16 Coalgebras as Types Determined by Their Elimination Rules
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    Chapter 17 Second Order Logic, Set Theory and Foundations of Mathematics
Attention for Chapter 4: Real and Ideal in Constructive Mathematics
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