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If notions are not defined, but used, how do computers validate proofs?-- 83.50.70.49 ( talk) 01:13, 2 July 2013 (UTC) reply

As stated in the article, relations between primitive notions are restricted by axioms. The real question is what kind of relations don't constitute a definition, which I feel can be very subtle, and I hope will be explained by someone more familiar with mathematical logic than me. -- Bbbbbbbbba ( talk) 01:56, 26 February 2023 (UTC) reply