Philosophy of Arithmetic

Chapter 1 Introduction

Chapter 2 The Origination of the Concept of Multiplicity Through that of the Collective Combination

Chapter 3 Critical Developments

Chapter 4 The Psychological Nature of the Collective Combination

Chapter 5 Analysis of the Concept of Number in Terms of its Origin and Content

Chapter 6 The Relations “More” and “Less”

Chapter 7 The Definition of Number-Equality Through the Concept of Reciprocal One-to-One Correlation

Chapter 8 Definitions of Number in Terms of Equivalence

Chapter 9 Discussions Concerning Unity and Multiplicity

Chapter 10 The Sense of the Statement of Number

Chapter 11 Operations on Numbers and the Authentic Number Concepts

Chapter 12 Symbolic Representations of Multiplicities

Chapter 13 The Symbolic Representations of Numbers

Chapter 14 The Logical Sources of Arithmetic

Chapter 15 Original Version of the Text Through Chapter IV