@article{ART002959412},

author={Park, Dong-Hoon and Chang Tae Soon},

title={Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event},

journal={탈경계인문학Trans-Humanities},

issn={2092-6081},

year={2023},

volume={16},

number={1},

pages={59-78},

doi={10.22901/trans.2023.16.1.59}

TY - JOUR

AU - Park, Dong-Hoon

AU - Chang Tae Soon

TI - Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event

JO - 탈경계인문학Trans-Humanities

PY - 2023

VL - 16

IS - 1

PB - Ewha Institute for the Humanities: EIH

SP - 59

EP - 78

SN - 2092-6081

AB - Alain Badiou’s Being and Event develops an ontology based on the axiomatic set theory. Polish mathematician Maciej Malicki criticized the book for its mathematical flaws. However, most of Malicki’s critiques stem from a misunderstanding of Badiou's philosophical project, and some critiques can be sufficiently answered in the set theory.
Malicki’s critique can be divided into three points. The first one is a critique on Badiou's concept of discernible. According to him, Badiou defines this concept in three ways in Being and Event, of which the second and third definitions are unacceptable, and the first is too narrow. We think the first definition is quite acceptable. The second is a critique on the concept of undecidable and of evental site; he argues that accepting evental site mathematically requires abandoning either the occurrence of an event in a situation or the creation of a truth(a generic extension). However, this concept is not a mathematical concept, but rather a concept on the border between mathematics and philosophy, and the generic extension in historical circumstances can be explained by the Mostowski Collapsing Theorem. The last critique is about the unnameable: Malicki argues that there should only be one unnameable in a situation, whereas Badiou has two, but the two concepts Malitzki pointed out are in fact different names for the same object.

KW - Ontology;Metaontology;Evental Site;Indiscernible;Undecidable;Unnameable;Mostowski Collapsing Theorem

DO - 10.22901/trans.2023.16.1.59

ER -

Park, Dong-Hoon and Chang Tae Soon. (2023). Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event. 탈경계인문학Trans-Humanities, 16(1), 59-78.

Park, Dong-Hoon and Chang Tae Soon. 2023, "Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event", 탈경계인문학Trans-Humanities, vol.16, no.1 pp.59-78. Available from: doi:10.22901/trans.2023.16.1.59

Park, Dong-Hoon, Chang Tae Soon "Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event" 탈경계인문학Trans-Humanities 16.1 pp.59-78 (2023) : 59.

Park, Dong-Hoon, Chang Tae Soon. Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event. 2023; 16(1), 59-78. Available from: doi:10.22901/trans.2023.16.1.59

Park, Dong-Hoon and Chang Tae Soon. "Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event" 탈경계인문학Trans-Humanities 16, no.1 (2023) : 59-78.doi: 10.22901/trans.2023.16.1.59

Park, Dong-Hoon; Chang Tae Soon. Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event. 탈경계인문학Trans-Humanities, 16(1), 59-78. doi: 10.22901/trans.2023.16.1.59

Park, Dong-Hoon; Chang Tae Soon. Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event. 탈경계인문학Trans-Humanities. 2023; 16(1) 59-78. doi: 10.22901/trans.2023.16.1.59

Park, Dong-Hoon, Chang Tae Soon. Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event. 2023; 16(1), 59-78. Available from: doi:10.22901/trans.2023.16.1.59

Park, Dong-Hoon and Chang Tae Soon. "Mathematical Ontology and Philosophy : Reponse to a Mathematical Critique about Alain Badiou's Being and Event" 탈경계인문학Trans-Humanities 16, no.1 (2023) : 59-78.doi: 10.22901/trans.2023.16.1.59