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How to define axioms in mathematics and why Goldbach conjecture is not axioms? Don't enter the civil subjects.
Axiom is a conclusion that is recognized by people without proof. Theorem is a conclusion strictly deduced or proved by axioms. Goldbach's conjecture is neither admitted nor strictly proved. Now we can't find a counterexample to overthrow it, and we can't find an axiom or theorem to prove it, so we can only guess.