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axiomatic
01
unquestionably true in a way that there is no need for proof
02
relating to a system or approach based on a set of fundamental principles or axioms from which all other mathematical statements and theorems are derived
03
containing aphorisms or maxims
Example
Axiomatic approaches in geometry allow for the study of non-Euclidean geometries.
Axiomatic probability theory provides a formal foundation for analyzing random phenomena.
Axiomatic set theory establishes fundamental rules for defining and manipulating sets.
Axiomatic approaches in mathematics ensure consistency and rigor in mathematical reasoning.
In algebra, groups, rings, and fields are studied within the framework of axiomatic structures.
