axiomatic reasoning
noun phraseUK /ˌæk.si.əˈmæt.ɪk ˈriː.zən.ɪŋ/
US /ˌæk.si.əˈmæt.ɪk ˈriː.zən.ɪŋ/
A way of thinking that starts from basic rules everyone accepts as true.
In math class, we used axiomatic reasoning to prove that two plus two equals four.
OTHER MEANINGS
2. Reasoning in which conclusions follow necessarily from accepted starting assumptions.
The philosopher relied on axiomatic reasoning to build his argument from first principles.
3. A method of problem-solving that treats certain statements as self-evidently true without proof.
Her axiomatic reasoning made the solution seem obvious once the basic rules were stated.
4. The process of deriving results within a formal system from a set of axioms.
Computer scientists use axiomatic reasoning to verify that programs behave correctly.