Set-Theoretic Ontology

Set-theoretic ontology, articulated by Alain Badiou, grounds being in mathematics, specifically in set theory. For Badiou, “being qua being” is pure multiplicity without inherent unity, with sets as the only adequate language for ontology. Events, truths, and subjects emerge as ruptures within this mathematical order, interrupting the situation. Though abstract, the framework resonates with design discourse: landscapes appear as multiplicities rather than singular essences, structured yet open to interruption. Set-theoretic ontology displaces identity with the logic of infinite relationality.

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