This is not true. Lots of things have no mathematical foundations because it is impossible to state them formally/symbolically. If you can not specify it formally then it is not mathematics. AI is mathematics because software/code/hardware is mathematics so all the hullabaloo about "safety" makes absolutely no sense other than as a marketing gimmick. Even alignment has been co-opted by OpenAI's marketing department to sell more subscriptions.
But in any event, the endgame of AI is a machine god that perpetuates itself and keeps humans around as pets. That is the best case scenario because by most measures the developed world is already a mechanical apparatus and the only missing piece for its perpetuation is the mechanical brain.
As usual, I can build this mechanical brain for $80B so tell your VC friends.