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Arnošt Kolman's Critique of Mathematical Fetishism

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F20%3A00115025" target="_blank" >RIV/00216224:14210/20:00115025 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.springer.com/gp/book/9783030363826" target="_blank" >https://www.springer.com/gp/book/9783030363826</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-36383-3_7" target="_blank" >10.1007/978-3-030-36383-3_7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Arnošt Kolman's Critique of Mathematical Fetishism

  • Original language description

    Arnošt Kolman (1892–1979) was a Czech mathematician, philosopher and Communist official. In this paper, we would like to look at Kolman’s arguments against logical positivism which revolve around the notion of the fetishization of mathematics. Kolman derives his notion of fetishism from Marx’s conception of commodity fetishism. Kolman is aiming to show the fact that an entity (system, structure, logical construction) acquires besides its real existence another formal existence. Fetishism means the fantastic detachment of the physical characteristics of real things or phenomena from these things. We identify Kolman’s two main arguments against logical positivism. In the first argument, Kolman applied Lenin’s arguments against Mach’s empiricism-criticism onto Russell’s neutral monism, i.e. mathematical fetishism is internally related to political conservativism. Kolman’s second main argument is that logical and mathematical fetishes are epistemologically deprived of any historical and dynamic dimension. In the final parts of our paper we place Kolman’s thinking into the context of his time, and furthermore we identify some tenets of mathematical fetishism appearing in Alain Badiou’s mathematical ontology today.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    The Vienna Circle in Czechoslovakia

  • ISBN

    9783030363826

  • Number of pages of the result

    16

  • Pages from-to

    135-150

  • Number of pages of the book

    213

  • Publisher name

    Springer International Publishing

  • Place of publication

    Cham, Switzerland

  • UT code for WoS chapter