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Frege’s Begriffsschrift and Logicism

Result description

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.

Keywords

FregeLogicismLogisticBegriffsschriftConcept-script

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Frege’s Begriffsschrift and Logicism

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    The logica yearbook 2017

  • ISBN

    978-1-84890-281-7

  • ISSN

  • e-ISSN

  • Number of pages

    15

  • Pages from-to

    239-253

  • Publisher name

    College Publications

  • Place of publication

    London

  • Event location

    Hejnice

  • Event date

    Jun 19, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

OECD FORD

Philosophy, History and Philosophy of science and technology

Year of implementation

2018