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A road map of Dedekind’s Theorem 66
- 1.0494429 - FLÚ 2019 RIV US eng J - Journal Article
Klev, Ansten
A road map of Dedekind’s Theorem 66.
HOPOS: The Journal of the International Society for the History of Philosophy of Science. Roč. 8, č. 2 (2018), s. 214-277. ISSN 2152-5188
R&D Projects: GA ČR(CZ) GJ17-18344Y
Institutional support: RVO:67985955
Keywords : Infinity * Richard Dedekind * Philosophy of Mathematics
OECD category: Philosophy, History and Philosophy of science and technology
Richard Dedekind’s theorem 66 states that there exists an infinite set. Its proof invokes such apparently nonmathematical notions as the “thought-world” and the self. This article discusses the content and context of Dedekind’s proof. It is suggested that Dedekind took the notion of the thought-world from Hermann Lotze. The influence of Kant and Bernard Bolzano on the proof is also discussed, and the reception of the proof in the mathematical and philosophical literature is covered in detail.
Permanent Link: http://hdl.handle.net/11104/0287621
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