The World, Which Exists and does not Exist at the same Time: the Space and Logic of Speculative Realism
DOI:
https://doi.org/10.24310/Metyper.2020.v0i23.7459Keywords:
speculative realism, Badiou, set theory, category theory, SchellingAbstract
This article presents and analyzes the arguments –as well as their logical-mathematical presuppositions– that ground the speculative realism of Markus Gabriel and Quentin Mei-llassoux. It is argued that both rely on a particular and narrow understanding of logics and mathematics fundamentally indebted to Badiou’s claim that speculative philosophy is only possible in the language of mathematics and, within it, the language of set-theory.In the article I show the limitations of set-theory derived from classic paradoxes, but also when confronted with category theory. As it is well-known, the later contests the privilege of the former as a theory to ground the whole of mathematics. I offer arguments in favor of a category-theory based ontology rather that set-theory. At the same time, I present realist arguments stemming from Schelling’s philosophy, trying to harmonize it with a categorical framework.
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