A rule or a statement that is accepted without proof is a postulate.
accepted as true without proof
A postulate or axiom
That would be a postulate
A logical argument in which each statement is backed up by a statement that is accepted as true is a proof.
true
A rule or a statement that is accepted without proof is a postulate.
An axiom.
accepted as true without proof
A postulate or axiom
An axiom.
No. Axioms and postulates are statements that we accept as true without proof.
It is called an axiom.
That would be a postulate
A zero-knowledge proof is an interactive method for one party to prove to another that a mathematical statement is true without revealing anything other than the veracity of the statement.
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".