The word that refers to supposing that a statement is true without proof is "assume." In logic and reasoning, to assume something means to take it for granted or accept it as fact without requiring evidence. This can be important in various fields, including mathematics and philosophy, where assumptions serve as foundational premises for further reasoning.
true
An axiom.
An axiom.
An axiom
It is called an axiom.
A statement accepted without proof is commonly known as a theorem. The other word that is used for such statements is postulate.
A rule or a statement that is accepted without proof is a postulate.
postulate
true
axiom
a
A postulate
An axiom.
accepted as true without proof
A postulate or axiom
An axiom.
An axiom.