Philosophy of Arithmetic

First Part: The Authentic Concepts of Multiplicity Unity and Number. - I: The Origination of the Concept of Multiplicity through that of the Collective Combination. - II: Critical Developments. - III: The Psychological Nature ot the Collective Combination. - IV: Analysis of the Concept of Number in Terms of its Origin and Content. - V: The realations More AND Less. - VI: The Definition of Number-Equity through the Concept of Reciprocal One-tO- One Correlation. - VII: Definition of Number in Terms of Equivalence. - VIII: Discussions Concerning Unity and Multiplicity. - IX: The Sense of the Statement of Numbers. - Second Part: The Symbolic Number Concepts And The Logical Sources Of Cardinal Arithmetic. - X: Operations on Numbers and the Authentic Number Concepts. - XI: Symbolic Representations of Multiplicities. - XII: The Symbolic Representations of Numbers. - XIII: The Logical Sources of Arithmetic. - Supplementary Texts (18871901). - A. Original Version of the Text through Chapter IV: ON the Concept of Number: Psychological Analyses. - B. Essays. Language: English