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NJ5 said:
Soleron said:
No. You can't.

All mathematics is based on fundamental, self-evident properties called "axioms". All theorems must be proven using these axioms or other theorems, but the axioms themselves can never be proved.

Look at Godel's theorems if you're interested in some consequences of that.


But "2 + 2 = 4" is not an axiom (at least not in most mathematical systems), it's a theorem. Therefore, it can be proven.

 

 

...yes, you're right. Nice proof. Proving  a+(b+c) = (a+b)+c is impossible though.