Badiou and the Ontological Limits of Mathematics
Result description
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).
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Badiou and the Ontological Limits of Mathematics
Original language description
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).
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Filozofski Vestnik
ISSN
0353-4510
e-ISSN
1581-1239
Volume of the periodical
41
Issue of the periodical within the volume
2
Country of publishing house
SI - SLOVENIA
Number of pages
13
Pages from-to
105-117
UT code for WoS article
000604918400014
EID of the result in the Scopus database
2-s2.0-85104821322
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Philosophy, History and Philosophy of science and technology
Year of implementation
2020