Quote:

Originally Posted by

**Crowcide**
So your point is based on if you assume the axioms for a system are wrong.

You get if the axioms are "wrong" I.e. lead to a contradiction you can prove anything true in the system

An axiomatic approach to the reals is mostly a short cut to avoid all the hassle with generating it from the set theory axioms, something you can do completeness included

So I thought about this last night, before I fell asleep. I'm probably wrong and don't understand base numbers the way I think I do, but I thought I'd throw it out there anyway.

If we assume a Base 1 numerical system, wouldn't X = (1/y) 1 be mathematically sound? the equation is solely meant to define 1 as a number, so it doesn't work with other numbers. But it does work with one.