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Earn +20 ptsQ: What are lucretius three axioms?
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What are axioms in algebra called in geometry?
They are called axioms, not surprisingly!
Axioms must be proved using data?
Axioms cannot be proved.
What terms are accepted without proof in a logical system geometry?
Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.
Do axioms and postulates require proof?
No. Axioms and postulates are statements that we accept as true without proof.
Does Godels Incompleteness Theorem imply axioms do not exist?
No, not at all. The Incompleteness Theorem is more like, that there will always be things that can't be proven. Further, it is impossible to find a complete and consistent set of axioms, meaning you can find an incomplete set of axioms, or an inconsistent set of axioms, but not both a complete and consistent set.
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