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.
Axioms and Posulates -apex
There is no particular history. Postulates are simply statements which may or may not be true. Usually the person who proposes the postulate believes that it is true but cannot prove it - it is put forward in the hope that someone will be able to prove that it is true. Early postulates may have been that the God X is responsible for the phenomenon Y.
Axioms, or postulates, are accepted as true or given, and need not be proved.
Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.
yes
yes, but not if it is illogical.
No, theorems cannot be accepted until proven.
The statements that require proof in a logical system are theorems and corollaries.
The statements that require proof in a logical system are theorems and corollaries.
axioms
An axiom is a statement that is accepted without proof. Proofs are based on statements that are already established, so therefore without axioms we would have no starting point.
Such terms are called axioms, or postulates.Exactly which terms are defined to be axioms depends on the specific system used.
Corollaries,TheoremsCorollaries, Theorems
Axioms and Posulates -apex