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Philosophy of Arithmetic

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Cover of 'Philosophy of Arithmetic'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Origination of the Concept of Multiplicity Through that of the Collective Combination
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    Chapter 3 Critical Developments
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    Chapter 4 The Psychological Nature of the Collective Combination
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    Chapter 5 Analysis of the Concept of Number in Terms of its Origin and Content
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    Chapter 6 The Relations “More” and “Less”
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    Chapter 7 The Definition of Number-Equality Through the Concept of Reciprocal One-to-One Correlation
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    Chapter 8 Definitions of Number in Terms of Equivalence
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    Chapter 9 Discussions Concerning Unity and Multiplicity
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    Chapter 10 The Sense of the Statement of Number
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    Chapter 11 Operations on Numbers and the Authentic Number Concepts
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    Chapter 12 Symbolic Representations of Multiplicities
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    Chapter 13 The Symbolic Representations of Numbers
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    Chapter 14 The Logical Sources of Arithmetic
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    Chapter 15 Original Version of the Text Through Chapter IV
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    Chapter 16 Essays
Attention for Chapter 7: The Definition of Number-Equality Through the Concept of Reciprocal One-to-One Correlation
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