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Title: Frege, Peano and the Construction of a Logical Calculus
Author(s): BERTRAN-SAN-MILLÁN, Joan
Journal: Logique et Analyse
Volume: 253    Date: 2021   
Pages: 3-22
DOI: 10.2143/LEA.253.0.3289334

Abstract :
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.

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