axiom
IPA: ˈæksiʌm
noun
- (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- (logic, mathematics, proof theory) A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
- An established principle in some artistic practice or science that is universally received.
Advertisement
Examples of "axiom" in Sentences
- This uses the axiom of regularity.
- The naming of the axioms often varies.
- The answer is the axiom of replacement.
- It is the principle of the axioms of intuition.
- The second axiom asserts that star is monotone.
- The converse is equivalent to the axiom of choice.
- The Axiom of Parsimony is attributed to Herbert Simon.
- The easiest axiom to generalize is the associative law.
- The axiom of choice and the axiom of determinacy are incompatible.
- The negation of the axiom of choice is the right axiom for applications.