yes, but not if it is illogical.
No, theorems cannot be accepted until proven.
In a logical system, the statements that are accepted without proof are known as axioms or postulates. These foundational assertions are assumed to be true and serve as the starting points for further reasoning and theorems within the system. Axioms are typically chosen for their self-evidence or practicality in the context of the logical framework being used. Different logical systems may have different sets of axioms tailored to their specific purposes.
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 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.
axioms
No, theorems cannot be accepted until proven.
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.
Postulates and axioms.
Axioms and Posulates -apex
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 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.