The Arché papers on the mathematics of abstraction

Table of Contents

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   Book Overview
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   Chapter 1 Is Hume’s Principle Analytic?
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   Chapter 2 Is Hume’s Principle Analytic?
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   Chapter 3 Frege, Neo-Logicism and Applied Mathematics
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   Chapter 4 Finitude and Hume’s Principle
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   Chapter 5 On Finite Hume
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   Chapter 6 Could Nothing Matter?
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   Chapter 7 On the Philosophical Interest of Frege Arithmetic
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   Chapter 8 “Neo-Logicist” Logic is not Epistemically Innocent
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    Chapter 9 Aristotelian Logic, Axioms, and Abstraction
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    Chapter 10 Frege’s Unofficial Arithmetic
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    Chapter 11 Reals by Abstraction
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    Chapter 12 The State of the Economy: Neo-Logicism and Inflation
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    Chapter 13 Frege Meets Dedekind: A Neo-Logicist Treatment of Real Analysis
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    Chapter 14 Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege’s Constraint
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    Chapter 15 New V, ZF, and Abstraction
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    Chapter 16 Well- and Non-Well-Founded Fregean Extensions
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    Chapter 17 Abstraction & Set Theory
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    Chapter 18 Prolegomenon to Any Future Neo-Logicist Set Theory: Abstraction and Indefinite Extensibility
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    Chapter 19 Neo-Fregeanism: An Embarrassment of Riches
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    Chapter 20 Iteration one More Time