Badiou and the Ontological Limits of Mathematics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F20%3A00542477" target="_blank" >RIV/67985955:_____/20:00542477 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.3986/FV.41.2.05" target="_blank" >https://doi.org/10.3986/FV.41.2.05</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3986/FV.41.2.05" target="_blank" >10.3986/FV.41.2.05</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Badiou and the Ontological Limits of Mathematics

Popis výsledku v původním jazyce

Badiou’s philosophy draws upon mathematics as its scientific condition. The “axiomatic decision” for mathematics can be interpreted as a historically conditioned choice responding to contemporary sophistry that dismissed the concept of truth. However, various sections of mathematics (set theory, category theory, and theory of great cardinals) are selected for a condition of philosophy to become. This multi-conditioning is a symptom of a lacuna in Badiou’s philosophy that emerged with relating philosophy to this or that section of mathematics. The lacuna is explained with Easton’s theorem as the effect of the relation between philosophy (metastructure) and a section of mathematics (the presented situation). Easton’s theorem indicates ontological limits of mathematics. The door is open for the relating of philosophy to non-mathematical science (Marxism and Lacanian psychoanalysis).

Název v anglickém jazyce

Badiou and the Ontological Limits of Mathematics

Popis výsledku anglicky

Badiou’s philosophy draws upon mathematics as its scientific condition. The “axiomatic decision” for mathematics can be interpreted as a historically conditioned choice responding to contemporary sophistry that dismissed the concept of truth. However, various sections of mathematics (set theory, category theory, and theory of great cardinals) are selected for a condition of philosophy to become. This multi-conditioning is a symptom of a lacuna in Badiou’s philosophy that emerged with relating philosophy to this or that section of mathematics. The lacuna is explained with Easton’s theorem as the effect of the relation between philosophy (metastructure) and a section of mathematics (the presented situation). Easton’s theorem indicates ontological limits of mathematics. The door is open for the relating of philosophy to non-mathematical science (Marxism and Lacanian psychoanalysis).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

<a href="/cs/project/GA17-23955S" target="_blank" >GA17-23955S: Jednota a mnohost v současném myšlení</a><br>

Návaznosti

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 periodika

Filozofski Vestnik

ISSN

0353-4510

e-ISSN

1581-1239

Svazek periodika

41

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SI - Slovinská republika

Počet stran výsledku

13

Strana od-do

105-117

Kód UT WoS článku

000604918400014

EID výsledku v databázi Scopus

2-s2.0-85104821322