An example of a statement that is accepted without proof is an axiom in mathematics, such as Euclid's first postulate, which states that a straight line can be drawn between any two points. Axioms serve as foundational truths upon which other theorems and concepts are built, and they are not proven but rather accepted as starting points for reasoning within a particular system.
An axiom.
true
An axiom.
It is possible to draw a straight line from any point to any other point.
An axiom
A rule or a statement that is accepted without proof is a postulate.
A statement accepted without proof is commonly known as a theorem. The other word that is used for such statements is postulate.
postulate
axiom
a
A postulate
An axiom.
true
accepted as true without proof
A postulate or axiom
An axiom.
An axiom.