Collected works, vol.10: Philosophy of arithmetic : psychological and logical investigations [Softcover reprint of the original 1st ed. 2003] 1402016034, 9781402016035, 9781402015465, 1402015461

This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally ina

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Collected works, vol.10: Philosophy of arithmetic : psychological and logical investigations [Softcover reprint of the original 1st ed. 2003] 1402016034, 9781402016035, 9781402015465, 1402015461

Table of contents :
Front Matter....Pages i-lxiv
Front Matter....Pages 9-9
Introduction....Pages 11-14
The Origination of the Concept of Multiplicity Through that of the Collective Combination....Pages 15-22
Critical Developments....Pages 23-65
The Psychological Nature of the Collective Combination....Pages 67-79
Analysis of the Concept of Number in Terms of its Origin and Content....Pages 81-93
The Relations “More” and “Less”....Pages 95-100
The Definition of Number-Equality Through the Concept of Reciprocal One-to-One Correlation....Pages 101-115
Definitions of Number in Terms of Equivalence....Pages 117-132
Discussions Concerning Unity and Multiplicity....Pages 133-167
The Sense of the Statement of Number....Pages 169-177
Front Matter....Pages 189-189
Operations on Numbers and the Authentic Number Concepts....Pages 191-203
Symbolic Representations of Multiplicities....Pages 205-234
The Symbolic Representations of Numbers....Pages 235-269
The Logical Sources of Arithmetic....Pages 271-301
Front Matter....Pages 303-303
Original Version of the Text Through Chapter IV....Pages 305-357
Essays....Pages 359-503
Back Matter....Pages 505-515

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