Definition of axiom
1: a statement accepted as true as the basis for argument or inference.
2: an established rule or principle or a self-evident truth.
Axioms can be construed as either weaker than self-evidence or exactly the same thing as self-evidence, definitions vary. When axioms are construed as the same thing as self-evidence:
In epistemology, the Münchhausen trilemma is a thought experiment used to demonstrate the impossibility of proving any truth, even in the fields of logic and mathematics.
The dogmatic argument, of the Münchhausen trilemma which rests on accepted precepts which are merely asserted rather than defended meets one of the two definitions of "axiom".
Self-evidence In epistemology (theory of knowledge), a self-evident proposition is a proposition that is known to be true by understanding its meaning without proof...
Expressions of language that are self-evidently true are understood to be necessarily true entirely on the basis of their meaning. We can know that this sentence is comprised of words and not comprised of empty boxes of Crackerjacks entirely on the basis of the meaning of its words.
This example refutes the claim of the Münchhausen trilemma and establishes the foundational basis of analytic knowledge: Semantic tautologies.Semantic tautologies which are a semantically interconnected set of truisms.