Answer: If the room is closed and the two are men then they will collide an infinite number of times yet their combined self-absorption will prevent their unification (the tension might create a black hole) I kid I kid. Another possibility: they carry on in opposite directions openly creating representations so the proving never ends hooray for NO ONE (theorem: every transcendent theorem is applicable whether it be direct or philosophical or metaphysical whatever goofy word you wanna-use I gots a lots ‘o dem), but make it rain. Fortunately, the ghost of Bernhard Riemann RIP (if only he were alive today to tell everyone to stop treating math like it’s a secret) and his posse maybe Poincare shows up just because I want him at my table, not just for his connections, the French know food (they also know (in)digressions…)…okok so whudduh we have: some ghosts construct a spiral staircase or more like a spiraling slide also like a Jacob’s ladder, and they’re saved from themselves because if two things start moving in our new Riemann surface then we can either unite here or at infinity and its really just easier if we do things here because well we’re already here and infinity is like really far away or something.
Corollary: We need women.
-BB