A road map of Dedekind’s Theorem 66

0494429 - FLÚ 2019 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GJ17-18344Y
Institucionální podpora: RVO:67985955
Klíčová slova: Infinity * Richard Dedekind * Philosophy of Mathematics
Obor OECD: 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.
Trvalý link: http://hdl.handle.net/11104/0287621