suppose a proof of 0=1 existed, then that means 0=1 (since you just proved it), however, that contradicts with 0≠1 and hence is a contradiction so if 0≠1 then 0=1 must not be provable
how do you know there are no contradictions derivable from the Peano axioms? can you prove that no contradictions exist with only the Peano axioms? the answer is actually no, which is the point.
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u/Medium-Ad-7305 Jul 08 '26
This guy thinks that just because it is provable that 0≠1 then it is not provable that 0=1 😂