Frege’s Begriffsschrift and Logicism

0502056 - FLÚ 2019 RIV GB eng C - Conference Paper (international conference)
Bertran-San Millán, Joan
Frege’s Begriffsschrift and Logicism.
The logica yearbook 2017. London: College Publications, 2018 - (Arazim, P.; Lávička, T.), s. 239-253. ISBN 978-1-84890-281-7.
[Logica 2017. Hejnice (CZ), 19.06.2017-23.06.2017]
Grant - others:AV ČR(CZ) AP1602
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985955
Keywords : Frege * Logicism * Logistic * Begriffsschrift * Concept-script
OECD category: Philosophy, History and Philosophy of science and technology

I put forward a new interpretation of Frege’s use of the formal system developed in Begriffsschrift, the concept-script. In contrast with the commonly-held view, I argue that this use suggests that he did not articulate a logicist programme in 1879. Two lines of argument support this claim. First, I show that between 1879 and 1882 Frege presented the concept-script of Begriffsschrift as a tool for arithmetic, and not as a logical theory from which to deduce arithmetical theorems. Second, I consider Frege’s results in Begriffsschrift and conclude that they do not imply an endorsement of his later logicist programme.
Permanent Link: http://hdl.handle.net/11104/0294011