Philosophy Dictionary of ArgumentsHome
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| Mathematics: Mathematics is the study of patterns and relationships. It encompasses arithmetic, algebra, calculus, geometry, trigonometry, topology, and others. Mathematics is used in science, engineering, business, and finance. See also Physics, Logic._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Alain Badiou on Mathematics - Dictionary of Arguments
Sokal I 204 Mathematics/Politics/Society/Badiou/Bricmont/Sokal: (A. Badiou 1982)(1): here, Badiou applies the continuum hypothesis (of the set theory) to the social situation: Badiou: (Badiou 1982, p. 282f): "What is at stake here is no less than the fusion of algebra (the ordered sequence of cardinal numbers) with topology (the surplus of the divisor compared to with the elementary). The truth of the continuum hypothesis would make a law out of the fact that the surplus within the multiple has no other task than to fill the empty space, than the existence of the non-existent, Sokal I 205 which is in accordance with the original multiple. There would be this asserted branching of unity, that what goes beyond the whole on the inside only designates the border point of this whole. But the continuum hypothesis is not provable. Mathematical triumph of politics over the realism of labor unions." >Continuum hypothesis, >Continuum, >Real numbers, >Numbers. SokalVsBadiou: the "mathematics" in this section are quite meaningless. Sokal I 204 Sokal: we were quite surprised that the philosopher Alain Badiou in all seriousness - so it seems - puts forward very similar thoughts as we did in our parody (see J. Bricmont and A. Sokal 1996(2). For the correct use of the concepts of physics , mathematics, and set theory see >Sokal/Bricmont, >Feynman, >Thorne, >Gribbin, or >Hacking. 1. A. Badiou. Théory du sujet, Paris. 1982. 2. J. Bricmont and A. Sokal. Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity", Social Text 1996._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Badi I Alain Badiou Théorie du sujet, Paris 1982 German Edition: Theorie des Subjekts Berlin 2014 Sokal I Alan Sokal Jean Bricmont Fashionabel Nonsense. Postmodern Intellectuals Abuse of Science, New York 1998 German Edition: Eleganter Unsinn. Wie die Denker der Postmoderne die Wissenschaften missbrauchen München 1999 Sokal II Alan Sokal Fashionable Nonsense: Postmodern Intellectuals’ Abuse of Science New York 1999 |
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> Counter arguments against Badiou
> Counter arguments in relation to Mathematics
Ed. Martin Schulz, access date 2024-04-20