Arnošt Kolman's Critique of Mathematical Fetishism

C 2020

Arnošt Kolman's Critique of Mathematical Fetishism

MÁCHA, Jakub a Jan ZOUHAR

Základní údaje

Originální název

Arnošt Kolman's Critique of Mathematical Fetishism

Autoři

MÁCHA, Jakub (203 Česká republika, garant, domácí) a Jan ZOUHAR (203 Česká republika, domácí)

Vydání

1. vyd. Cham, Switzerland, The Vienna Circle in Czechoslovakia, od s. 135-150, 16 s. Vienna Circle Institute Yearbook, Vol. 23, 2020

Nakladatel

Springer International Publishing

Další údaje

Jazyk

angličtina

Typ výsledku

Kapitola resp. kapitoly v odborné knize

Obor

60301 Philosophy, History and Philosophy of science and technology

Stát vydavatele

Švýcarsko

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Odkazy

URL

Kód RIV

RIV/00216224:14210/20:00115025

Organizační jednotka

Filozofická fakulta

ISBN

978-3-030-36382-6

DOI

http://dx.doi.org/10.1007/978-3-030-36383-3_7

Klíčová slova anglicky

Arnošt Kolman; Marxism; fetishism; logical positivism; mathematics

Štítky

rivok, topvydavatel

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 11. 4. 2021 22:57, Ing. Mgr. Zdeňka Jastrzembská, Ph.D.

Anotace

V originále

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.

Návaznosti

MUNI/A/0878/2019, interní kód MU

Název: Aspekty soudobé filozofie II. (Akronym: Krob)

Investor: Masarykova univerzita, Aspekty soudobé filozofie II., DO R. 2020_Kategorie A - Specifický výzkum - Studentské výzkumné projekty

Citovat

MÁCHA, Jakub a Jan ZOUHAR. Arnošt Kolman's Critique of Mathematical Fetishism. In Schuster, Radek. The Vienna Circle in Czechoslovakia. 1. vyd. Cham, Switzerland: Springer International Publishing, 2020, s. 135-150. Vienna Circle Institute Yearbook, Vol. 23. ISBN 978-3-030-36382-6. Dostupné z: https://dx.doi.org/10.1007/978-3-030-36383-3_7.

@inbook{1484761,
   author = {Mácha, Jakub and Zouhar, Jan},
   address = {Cham, Switzerland},
   booktitle = {The Vienna Circle in Czechoslovakia},
   doi = {http://dx.doi.org/10.1007/978-3-030-36383-3_7},
   edition = {1},
   editor = {Schuster, Radek},
   keywords = {Arnošt Kolman; Marxism; fetishism; logical positivism; mathematics},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham, Switzerland},
   isbn = {978-3-030-36382-6},
   pages = {135-150},
   publisher = {Springer International Publishing},
   title = {Arnošt Kolman's Critique of Mathematical Fetishism},
   url = {https://www.springer.com/gp/book/9783030363826},
   year = {2020}
}

TY  - CHAP
ID  - 1484761
AU  - Mácha, Jakub - Zouhar, Jan
PY  - 2020
TI  - Arnošt Kolman's Critique of Mathematical Fetishism
VL  - Vienna Circle Institute Yearbook, Vol. 23
PB  - Springer International Publishing
CY  - Cham, Switzerland
SN  - 9783030363826
KW  - Arnošt Kolman
KW  - Marxism
KW  - fetishism
KW  - logical positivism
KW  - mathematics
UR  - https://www.springer.com/gp/book/9783030363826
L2  - https://www.springer.com/gp/book/9783030363826
N2  - 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.
ER  -

MÁCHA, Jakub a Jan ZOUHAR. Arnošt Kolman's Critique of Mathematical Fetishism. In Schuster, Radek. \textit{The Vienna Circle in Czechoslovakia}. 1. vyd. Cham, Switzerland: Springer International Publishing, 2020, s.~135-150. Vienna Circle Institute Yearbook, Vol. 23. ISBN~978-3-030-36382-6. Dostupné z: https://dx.doi.org/10.1007/978-3-030-36383-3\_{}7.

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