Axiomatic
volume
British pronunciation/ˌæksɪəmˈætɪk/
American pronunciation/ˌæksiəˈmætɪk/

Definition & Bedeutung von "axiomatic"

axiomatic
01

axiomatisch, offensichtlich

unquestionably true in a way that there is no need for proof
02

axiomatisch, mit Axiomen verbunden

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

axiomatisch, axiomatisch

containing aphorisms or maxims

axiomatic

adj

axiom

n
example
Beispiel
Axiomatic approaches in geometry allow for the study of non-Euclidean geometries.
Axiomatic set theory establishes fundamental rules for defining and manipulating sets.
Axiomatic probability theory provides a formal foundation for analyzing random phenomena.
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.
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