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Frege, Peano and the Construction of a Logical Calculus
- 1.0542961 - FLÚ 2022 RIV BE eng J - Journal Article
Bertran-San Millán, Joan
Frege, Peano and the Construction of a Logical Calculus.
Logique et Analyse. -, č. 253 (2021), s. 3-22. ISSN 0024-5836
Grant - others:AV ČR(CZ) AP1602
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985955
Keywords : Frege * Peano * inference * deduction * logical calculus
OECD category: Philosophy, History and Philosophy of science and technology
Method of publishing: Limited access
http://doi.org/10.2143/LEA.253.0.3289334
In contemporary historical studies Peano is usually linked to the logical tradition pioneered by Frege. In this paper I question this association. Specifically, I claim that Frege and Peano developed significantly different conceptions of a logical calculus. First, I claim that while Frege put the systematisation of the notion of inference at the forefront of his construction of an axiomatic logical system, Peano modelled his early logical systems as mathematical calculi and did not really attempt to justify reasoning. Second, I argue that in later works on logic Peano advanced towards a deductive approach that was closer to Frege’s standpoint.
Permanent Link: http://hdl.handle.net/11104/0320343
Number of the records: 1