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Philosophy of Arithmetic: Psychological and Logical Investigations (German: Philosophie der Arithmetik. Psychologische und logische Untersuchungen) is an 1891 book about the philosophy of mathematics by the philosopher Edmund Husserl.
- Edmund Husserl
- 580
- 1891
- 1891
About this book. In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge.
- Edmund Husserl
1. Jan. 2009 · The Philosophy of Arithmetic, 1 Husserl’s youthful work dedicated to a philosophical, or better, epistemological foundation of mathematics, shows the shift in his interests from more properly mathematical issues to those regarding the philosophy of mathematics.
- Stefania Centrone
- stefania.centrone@uni-hamburg.de
- 2009
25. Sept. 2007 · 1. Philosophy of Mathematics, Logic, and the Foundations of Mathematics. 2. Four schools. 2.1 Logicism. 2.2 Intuitionism. 2.3 Formalism. 2.4 Predicativism. 3. Platonism. 3.1 Gödel’s Platonism. 3.2 Naturalism and Indispensability. 3.3 Deflating Platonism. 3.4 Benacerraf’s Epistemological Problem. 3.5 Plenitudinous Platonism. 4.
10. Juni 1998 · First published Wed Jun 10, 1998; substantive revision Sat Aug 5, 2023. Over the course of his life, Gottlob Frege formulated two logical systems in his attempts to define basic concepts of mathematics and to derive mathematical laws from the laws of logic.
2 1 Philosophy of Arithmetic. number (Anzahl)8 and unity (Einheit) – in so far as they are presented properly (eigentlich vorgestellt), i.e. intuitively given. The second part tackles the study of symbolic presentations applied to mathematics.9 To under ...
In fact, the philosophy of arithmetic is a paradigm case of a discipline where large‐scale philosophical and metaphysical questions are closely tied to ontological questions. Many, but not all, of the following considerations that are focused on arithmetic also carry over to other parts of mathematics.
