axioms Definition
a statement or proposition that is regarded as being established, accepted, or self-evidently true.
Using axioms: Examples
Take a moment to familiarize yourself with how "axioms" can be used in various situations through the following examples!
Example
One of the axioms of mathematics is that any number multiplied by zero is zero.
Example
The theory is based on the axiom that all men are created equal.
Example
The existence of God is an axiom for many people.
axioms Synonyms and Antonyms
Synonyms for axioms
Phrases with axioms
Euclid's axioms
five statements that form the basis of Euclidean geometry
Example
Euclid's axioms include statements like 'two parallel lines never meet.'
a principle in set theory that states that given any collection of non-empty sets, there is a way to choose one element from each set
Example
The axiom of choice is often used in mathematical proofs.
Example
The idea that 'all bachelors are unmarried' is an axiomatic truth.
Origins of axioms
from Greek 'axios', meaning 'worthy'
Summary: axioms in Brief
'Axioms' [ˈæksiəmz] are statements or propositions that are considered to be established, accepted, or self-evidently true. They are often used in mathematics and philosophy to form the basis of theories and arguments. Examples of axioms include 'all bachelors are unmarried' and 'two parallel lines never meet.'
