{∅, {∅}, {∅, {∅}}} : Rage Against the Meat Grinder

I can see now why you would find Badiou interesting.He seems to be using the insights gathered from set theory in his philosophy.He says there is no transcendent unity.The unit as one operation brings together different things and forms sets.Before the sets are ever made, all there is, are multiplicities.

He wants to know how new possibilities might emerge in this process of counting and recounting,.There are always uncounted multiplicities bidding their time..
He says that truth is not “a relation of appropriateness between the intellect and the thing intellected, a relation of adequation which always supposes… that the truth be localizable in the form of a proposition.” Instead, “a truth is, first of all, something new.”

“For the process of a truth to begin, something must happen. What there already is, the situation of knowledge as such, only gives us repetition. For a truth to affirm its newness, there must be a supplement; this supplement is committed to chance. It is unpredictable, incalculable; it is beyond what it is. I call it an event. A truth appears in its newness because an eventful supplement interrupts repetition. Examples: the appearance with Aeschylus of theatrical tragedy, the irruption with Galileo of mathematical physics, an amorous encounter which changes a whole life, or the French Revolution of 1792”