The Problem of the Philosophy of Number in Alain Badiou's Works: A Critical Perspective of François Laruelle's Non-Standard Philosophy.
In this paper, we consider the project of the philosophy of Number proposed by Alain Badiou. In the first part of the work, we discuss the concept of Numbers proposed by Badiou. We argue that such a construction is limited and cannot cover all the concepts of Number. In our work, we try to show that...
| Publicado en: | Problems / Problemos Vol. 107; pp. 91 - 107 |
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| Formato: | Artículo |
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Vilnius University
2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=188541318&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 188541318 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 13921126 3D4C jtl: Problems / Problemos issn: 13921126 maglogo: N pubinfo: dt: 2025 vid: 107 pid: 16037 pub: Vilnius University artinfo: ui: 188541318 10.15388/Problemos.2025.107.7 ppf: 91 ppct: 16 formats: fmt: @attributes: type: P size: 3.4MB tig: atl: The Problem of the Philosophy of Number in Alain Badiou's Works: A Critical Perspective of François Laruelle's Non-Standard Philosophy. aug: au: Zhuk, Maksim affil: European Humanities University, Vilnius, Lithuania su: Number concept p-adic analysis Ontology Floating-point arithmetic Philosophers Modern philosophy Badiou, Alain, 1937- Critical analysis sug: subj: Number concept p-adic analysis Ontology Floating-point arithmetic Philosophers Modern philosophy Badiou, Alain, 1937- Critical analysis keyword: Badiou Laruelle non-standard philosophy p-adic philosophy of Number nestandartinė filosofija p-adicinis skaičius skaičiaus filosofija ab: In this paper, we consider the project of the philosophy of Number proposed by Alain Badiou. In the first part of the work, we discuss the concept of Numbers proposed by Badiou. We argue that such a construction is limited and cannot cover all the concepts of Number. In our work, we try to show that Badiou's universal concept of Number is unfeasible. As a theoretical basis, we are using Laruelle's non-standard program which we shall discuss in the third part. We admit that Laruelle's criticism lacks analysis of the mathematical content of Badiou's ontology. For this, we discuss two examples: floating point arithmetic and p-adic numbers. Both are extremely important conceptual number systems, which cannot be accommodated by Badiou's philosophy. Straipsnyje svarstomas skaičiaus filosofijos, pasiūlytos Alaino Badiou, projektas. Pirmojoje teksto dalyje aptariama Badiou pasiūlyta skaičių samprata. Teigiama, kad tokia konstrukcija yra ribota ir negali apimti visų skaičiaus konceptų. Šiuo tekstu bandoma parodyti, kad Badiou pasiūlyta universali skaičiaus samprata neatlaiko kritikos. Teoriniais aspektais remiamasi Laruelle sukurta nestandartine programa, kuri aptariama trečiojoje straipsnio dalyje. Pripažįstama, kad Laruelle kritikoje trūksta matematinio Badiou ontologijos turinio analizės. Šiuo tikslu aptariami du pavyzdžiai: slankiojo kablelio aritmetika ir p-adiciniai skaičiai. Abu šie aspektai yra itin svarbios konceptualiosios skaičių sistemos, kurių neįmanoma integruoti į Badiou filosofiją. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Problems / Problemos is the property of Vilnius University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Problems / Problemos holder: Vilnius University dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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