Axiom (Noun)
Meaning 1
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident.
Classification
Nouns denoting communicative processes and contents.
Examples
- The statement "all humans are mortal" is considered an axiom in philosophical discussions about the nature of humanity.
- In mathematics, the concept of parallel lines never intersecting is an axiom that is widely accepted as true.
- The idea that the whole is greater than the sum of its parts is an axiom in systems theory that is often taken for granted.
- The axiom of choice is a fundamental principle in set theory that states that any set of non-empty sets has a choice function.
- In ethics, the principle of non-maleficence, or "do no harm," is an axiom that guides medical professionals in their decision-making.
Hyponyms
Related Words
Meaning 2
A saying that is widely accepted on its own merits.
Classification
Nouns denoting communicative processes and contents.
Examples
- The phrase "an apple a day keeps the doctor away" is an axiom that has been passed down for generations as a way to promote healthy eating habits.
- In the business world, the axiom "time is money" is often used to emphasize the importance of productivity and efficiency.
- The axiom "all's fair in love and war" suggests that people will do whatever it takes to win in situations where emotions are high.
- The phrase "actions speak louder than words" is an axiom that reminds us that it's not what we say that matters, but what we do.
- The axiom "pride comes before a fall" warns us that excessive pride and arrogance can lead to our downfall.