Re:A pilot project in universal algebra to explore new ways ...
by srcreigh on Friday September 27, 2024 @02:52AM
(#41667113)
That machine doesn’t encode ZF. It encodes a problem that is independent of ZF. And it’s not impossible to prove that the machine runs forever, you just can’t use ZF to prove that.
Actually, if you encode the axioms of ZF into a TM, it's impossible to prove the machine will ever halt:
https://scottaaronson.blog/?p=2725