Badiou on Forcing

Te Ipu Pakore: The Broken Vessel

« There are two labyrinths of the human mind: one concerns the composition of the continuum [consistent multiplicities], and the other the nature of freedom [the event], and both spring from the same source—the infinite [inconsistent multiplicities]. »

—G.W. Leibniz (« On Freedom, » in G.H.R. Parkinson (ed.), Philosophical Writings, trans. Mary Morris and G.H.R. Parkinson [London: J.M. Dent, 1973] 107)

Fraser on the subject

Zachary Fraser, « The Law of the Subject: Alain Badiou, Luitzen Brouwer and the Kripkean Analyses of Forcing and the Heyting Calculus, » Cosmos and History: The Journal of Natural and Social Philosophy 2.1-2 (2006): 94-133:

Abstract [reformatted]: One of the central tasks of Badiou’s Being and Event is to elaborate a theory of the subject in the wake of an axiomatic [assumed] identification of ontology with mathematics, or, to be precise, with classical Zermelo-Fraenkel set theory. The subject, for Badiou, is essentially a free project that originates in…

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