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 geometry rule that is accepted without proof is called an "axiom" or "postulate." Axioms serve as the foundational building blocks for a geometrical system, from which other theorems and propositions can be derived. They are considered self-evident truths within the context of the specific geometric framework.
Because mathematics is a axiomatic system so that every new statement remains a conjecture until it is proved.
Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.
yes
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.
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?
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.