Axiom/definition/theorem/proof

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  1. MatheMagician
  2. axiom
  3. definition
  4. theorem
  5. proof
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Wonderful video and question if you have a moment: Can any statement then be considered an Axiom? Since no proof is necessary? Also - I read somewhere that “2+2=4” is an axiom and “3 is a natural number” is an axiom. Are we sure those are technically axioms though?!

MathCuriousity
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Excellent explanation. Clear and to the point. Thank you.

veilofmayaa
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When we define something e.g. a function should we also prove that a function exists?

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