[yongjik]

Where did you get all this idea? You know enough terms, yet somehow you have an incorrect understanding of pretty much everything.

If you are interested, please read an actual math textbook. (Yes, they can be a giant time sink, but at least you'll learn the correct meanings of sets and functions.)

[Retric]

I have taken plenty of high level math classes for fun and easy A's, I even had a department head yell at me for not getting a PHD. So, I can speak the lingo.

But, the absurd results are not generalizable outside of their assumptions sorry Axioms. Set theory being one of the most obvious cases.

It's sadly like a religion in many ways, follow enough false statements and you can prove anything. Yet, if you find a contradiction then don't actually accept at least one of your assumptions are false.