Badiou and Science

“The remarkable conceptual connection affirmed here [by the axiom of foundation] is that of the Other and foundation. This new Idea of the…

“A great theory, which had to show itself capable of providing a universal language for all branches of mathematics, was born… It became…

“But [there are] also so many other [numbers than our traditional numbers], which finitude and the wretchedness of our inherited practice…

“And this is the problem: is it possible to identify a Number as opposed to sets of Numbers?… Does the numberless throng of Numbers…

“…along with reals and ordinals, [the surreals] contain an infinitely infinite throng of numbers whose existence no one has conceived of…

“The impasse of ontology — the quantitative un-measure of the set of parts of a set — tormented Cantor… the multiple p(ωₒ) is the…

“… the existence of zero, or the empty set, and the existence of an infinite set can in no way be deduced from “purely logical”…

“[After much technical research] I came to think that it was necessary to shift ground and formulate a radical thesis concerning…

“I would like this publication to mark an obvious fact: the nullity of the opposition between analytic thought and continental thought. And…