axiom Definition
a statement or proposition that is regarded as being established, accepted, or self-evidently true.
Using axiom: Examples
Take a moment to familiarize yourself with how "axiom" can be used in various situations through the following examples!
Example
It is an axiom of modern physics that energy is always conserved.
Example
The company operates on the axiom that the customer is always right.
Example
The axiom 'actions speak louder than words' suggests that what people do is more important than what they say.
axiom Synonyms and Antonyms
Phrases with axiom
a statement or proposition that is regarded as being established, accepted, or self-evidently true
Example
The axiomatic truth of mathematics is that 1+1=2.
a principle of set theory stating that given any collection of sets, a new set can be formed by choosing one element from each set, even if the collection is infinite
Example
The axiom of choice is a powerful tool in mathematics, but it has also been the subject of much debate and controversy.
a set of axioms and rules that are used to derive theorems and proofs in a particular branch of mathematics or logic
Example
Euclidean geometry is an example of an axiomatic system.
Origins of axiom
from Greek 'axios', meaning 'worthy'
Summary: axiom in Brief
An 'axiom' [ˈæksiəm] is a statement or proposition that is regarded as being established, accepted, or self-evidently true. It is often used in mathematics and logic to form the basis of a system of reasoning. Examples of axioms include 'actions speak louder than words' and 'the customer is always right.' Other phrases like 'axiomatic truth' and 'axiomatic system' use 'axiom' to denote established principles or systems.
