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The Philosophy of Arithmetic is the English language title of Edmund Husserl's first published book...

The Philosophy of Arithmetic is the English language title of Edmund Husserl's first published book. It was first published, in the German language, under the full title, Philosophie der Arithmetik. Psychologische und logische untersuchungen. The work is a synthesis of his studies in mathematics, under Karl Weierstrass, with his studies in philosophy and psychology, under Franz Brentano and Carl Stumpf. The Philosophy of Arithmetic (PA) consititues the first volume of a work which Husserl intended to comprise two volumes, of which the second was never published. Comprehensively it would have encompassed four parts and an Appendix. The first volume is divided in two parts, the first of which purports to analyse the "Proper concepts of multiplicity, unity and amount" (Die eigentliche Begriffe von Vielheit, Einheit und Anzahl) and the second "The symbolic amount-concepts and the logical sources of amount-arithmetic" (Die symbolischen Anzahlbegrife und die logischen Quellen der Anzahlen-Arithmetik). The basic issue of the book is a philosophical analysis of the concept of number, which is the most basic concept on which the entire edifice of arithmetic and mathematics can be founded.