Axioms and Posulates -apex
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A theory is accepted without proof in a logical system. Most theories are based on assumption and that is why there is no need for proof.
Axioms
Postulates
axioms and postulates (apex)
Axioms
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A postulate cannot be accepted! I can postulate that the moon is made of green cheese, for example.
The question refers to the "following". In such circumstances would it be too much to expect that you make sure that there is something that is following?
yes, but not if it is illogical.
No, theorems cannot be accepted until proven.
Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.
no?
Yes, postulates are accepted without proof and do not have counterexamples.