Arnošt Kolman's Critique of Mathematical Fetishism

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Arnošt Kolman's Critique of Mathematical Fetishism

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Arnošt Kolman's Critique of Mathematical Fetishism

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

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Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

The Vienna Circle in Czechoslovakia

ISBN

9783030363826

Počet stran výsledku

16

Strana od-do

135-150

Počet stran knihy

213

Název nakladatele

Springer International Publishing

Místo vydání

Cham, Switzerland

Kód UT WoS kapitoly

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