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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| Autor principal: | |
| Formato: | Artículo |
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Vilnius University
2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| Sumario: | 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. |
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