>>14377387>That's literally what the foundations of mathematics is about, and guess what?Ive never ever seen anyone rigorously justify set theory or zfc.
Ive seen a rigorous justification of PRA, of PA in terms of a consistency proof, some subsystems of second order arithmetic, but not ZFC.
Your "nothing can be justified because infinite regress" is complete cope, similar to religious cope of "atheism is a religion too".
The turtles stop when you reach an explanation that is so obvious as to not merit further justification.