AXIOMATIC SYSTEM
(noun)Definitions
There is 1 meaning of the phrase
Axiomatic System.
Axiomatic System - as a noun
Any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
Example: "An axiomatic system is said to be consistent if it lacks contradiction (i.e. it is not possible to derive both a statement and its negation from the system's axioms)."
Example Sentences
"In mathematics, an axiomatic system is a set of axioms that defines a mathematical structure."
"Euclidean geometry is an example of an axiomatic system."
"The development of axiomatic systems in logic was a major breakthrough in the early 20th century."
"A formal axiomatic system consists of a set of axioms and a set of rules for deriving new theorems."
"One of the most famous axiomatic systems is Zermelo-Fraenkel set theory."
