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Dedekind’s logicism
- 1.0480511 - FLÚ 2018 RIV GB eng J - Journal Article
Klev, Ansten
Dedekind’s logicism.
Philosophia Mathematica. Roč. 25, č. 3 (2017), s. 341-368. ISSN 0031-8019. E-ISSN 1744-6406
Institutional support: RVO:67985955
Keywords : Philosophy of mathematics * logicism * Richard Dedekind
OECD category: Philosophy, History and Philosophy of science and technology
Impact factor: 0.438, year: 2017
A detailed argument is provided for the thesis that Dedekind was a logicist about arithmetic. The rules of inference employed in Dedekind's construction of arithmetic are, by his lights, all purely logical in character, and the definitions are all explicit, even the definition of the natural numbers as the abstract type of simply infinite systems can be seen to be explicit. The primitive concepts of the construction are logical in their being intrinsically tied to the functioning of the understanding.
Permanent Link: http://hdl.handle.net/11104/0276284
Number of the records: 1