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
A Proof, 2-column proofs for geometry are common.
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.
axioms
Axioms, or postulates, are accepted as true or given, and need not be proved.
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
Postulates and 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.
A logical argument in which each statement is backed up by a statement that is accepted as true is a proof.
The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?