A. Badiou: ontologia e matematica
DOI:
https://doi.org/10.54103/2239-5474/29790Keywords:
Set theory, Onthology, Void, Event, RelationAbstract
A. Badiou: Onthology and Mathematics
If we say that Badiou's philosophy is conditioned by post-Cantorian set theory, this means that the Cantorian event conditions Badiou's contemporary reflection. The French philosopher treats mathematics for its unique connection with being, and addresses the ontological problem through a mathematical ontology of multiplicities, which makes the coherence of the parts of a situation the counterpart of the subtractive character of being. Starting from the work of Lawnen, Grothendieck, a "theory of categories" has presented itself as a new unifying discourse for mathematical research. In Logics of Worlds Badiou returns to this aspect by declaring that he has found the possibility of holding together set theory and category theory. The latter is in fact never considered as a different ontological option, but as a new logic that proves capable, more than any other, of providing a descriptive framework of possible worlds, constituting a new level of analysis, which Badiou calls phenomenology. But what is the connection, taken for granted here, between the logical and geometric elements?
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