Definition of Axiom
Quick Meaning of Axiom
A statement that is so obviously true it doesn't need proof; a basic principle accepted as true in a logical system.
Detailed Definition of Axiom
A self-evident truth or fundamental principle that is accepted without proof; a maxim serving as the foundation of a system of thought.
How to Pronounce Axiom
Stress pattern: Ooo (3-syllable word).
Tip: AK-see-um. Stress the first syllable. Three syllables: AK-see-um. The 'i' is pronounced like 'ee'.
Watch out: Learners sometimes say 'AK-see-ome' (wrong final vowel) or stress incorrectly as 'ak-SEE-um'. Correct: AK-see-um.
Origin and Etymology of Axiom
From Greek 'axiōma' (that which is thought worthy or fit), from 'axios' (worthy, of value). In ancient logic and mathematics, an axiom is a foundational truth deemed worthy of acceptance without demonstration.
How to Use Axiom in a Sentence
Each example shows “axiom” with a CEFR level so learners can pick examples that match their fluency.
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“Euclid's axioms formed the foundation of classical geometry for over two millennia.”
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“The axiom that 'all humans are equal' is stated but remains contested historically.”
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“The novel challenges the cultural axiom that wealth equals happiness.”
Synonyms and Antonyms of Axiom
Common Synonyms for Axiom
Smart Synonyms for Axiom — When to Use Each
- postulate
- Similar to axiom; used in mathematics
- principle
- A fundamental rule or law
- maxim
- A saying of practical wisdom
Antonyms of Axiom
Common Collocations with Axiom
These phrases pair with “axiom” in everyday English:
- fundamental axiom
- mathematical axiom
- accept an axiom
- challenge an axiom
- axiomatic truth
Common Mistakes When Using Axiom
Even fluent speakers slip up with “axiom”. Here’s how to avoid the most common errors:
- ✗ Wrong: The axiom was disproven by new evidence.
- ✓ Correct: The postulate was replaced by evidence, revealing it was not truly axiomatic.
- Why: An axiom is by definition self-evident and foundational; if it's disproven, it was never truly an axiom. Use 'postulate' or 'assumption' for statements that can be challenged.
- ✗ Wrong: The axiom needed careful logical proof before acceptance.
- ✓ Correct: The axiom was accepted as the starting point for logical proof.
- Why: Axioms are foundational truths accepted without proof; they form the basis of proof systems, not the outcome of them.
- ✗ Wrong: Modern axioms are more correct than ancient ones.
- ✓ Correct: Different systems use different axioms; ancient geometry's axioms remain valid within their system.
- Why: Axioms are not 'correct' or 'incorrect'—they define the boundaries of a system. They can become obsolete in new systems, but they're not disproven.
Other Forms of Axiom
- Noun: axiom
- Adjective: axiomatic
- Adverb: axiomatically
Frequently Asked Questions About Axiom
What is the meaning of "Axiom"?
A statement that is so obviously true it doesn't need proof; a basic principle accepted as true in a logical system.
How do you pronounce "Axiom"?
The IPA is /ˈæksiəm/. AK-see-um. Stress the first syllable. Three syllables: AK-see-um. The 'i' is pronounced like 'ee'.
What part of speech is "Axiom"?
"Axiom" is a noun at C2 level (Common European Framework).
What are synonyms for "Axiom"?
Common synonyms include principle, postulate, assumption.
How do you use "Axiom" in a sentence?
For example: "Euclid's axioms formed the foundation of classical geometry for over two millennia."