Want this question answered?
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
The history of postulates can be traced back to ancient Greek mathematics, particularly with the work of Euclid in his famous book "Elements." Euclid's system of geometry is built upon a set of postulates (also called axioms) that serve as the foundation for all subsequent proofs and theorems. These postulates were fundamental assumptions that were accepted without proof, and they provided a logical starting point for geometric reasoning. Since Euclid, postulates have continued to be a crucial component of mathematical systems and logical frameworks for various branches of mathematics.
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