yes
The statements that require proof in a logical system are theorems and corollaries.
Corollaries,TheoremsCorollaries, Theorems
Postulates and axioms.
Yes, postulates are "given", as the bases for the construction of the system.
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
Postulates and axioms.