axiom
C1Formal, academic, technical
Definition
Meaning
A statement or principle that is accepted as true without proof, serving as a foundation for reasoning or a system of belief.
A universally recognised principle, rule, or established truth, often used metaphorically to describe a fundamental assumption in any field of thought.
Linguistics
Semantic Notes
In mathematics and logic, 'axiom' refers to a starting postulate. In general use, it connotes an unquestioned truth or foundational belief.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage.
Connotations
Slightly more associated with formal mathematics and philosophy in both varieties.
Frequency
Equally low-frequency in formal/academic contexts in both UK and US English.
Vocabulary
Collocations
Grammar
Valency Patterns
It is an axiom that...The axiom of...to challenge/accept an axiomVocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “It's an accepted axiom that...”
- “As the old axiom goes...”
Usage
Context Usage
Business
Used in strategy or theory, e.g., 'A core business axiom is that customer focus drives growth.'
Academic
Common in philosophy, mathematics, logic, and theoretical sciences as a foundational statement.
Everyday
Rare. Might be used metaphorically to state a widely held belief, e.g., 'The axiom that practice makes perfect.'
Technical
Precise use in mathematics/logic for an undemonstrated starting point of a system, e.g., 'the axioms of set theory'.
Examples
By Part of Speech
adjective
British English
- The axiomatic nature of the claim was debated.
- It's considered axiomatic in the field.
American English
- That's an axiomatic principle in economics.
- His argument rested on an axiomatic truth.
Examples
By CEFR Level
- The teacher said it was an axiom that we must be kind.
- One basic axiom of democracy is that all votes count equally.
- The entire theory is built upon a few, seemingly simple, axioms.
- Challenging the central axioms of a scientific paradigm can lead to revolutionary discoveries.
Learning
Memory Aids
Mnemonic
Think: 'AXIOM' sounds like 'AXIS' + 'I AM'. An axiom is a central axis or truth 'I AM' sure of without proof.
Conceptual Metaphor
TRUTH IS A FOUNDATION (an axiom is a building block for a system of thought).
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Do not confuse with 'аксиома' (direct equivalent, same meaning). It's a perfect cognate, so the trap is overthinking it.
Common Mistakes
- Using it as a synonym for 'fact' (facts are empirically verifiable, axioms are not).
- Pronouncing it /ˈeɪksiəm/ (incorrect).
Practice
Quiz
In which context is the word 'axiom' used most precisely?
FAQ
Frequently Asked Questions
An axiom or postulate is an accepted starting truth without proof. A theorem is a statement that is proven based on axioms and other theorems.
It is very formal. In everyday talk, people are more likely to say 'basic principle', 'rule of thumb', or 'it's a given that...'.
Yes, e.g., 'The system is based on three key axioms.'
Axiomatic, meaning self-evident or derived from axioms.
Collections
Part of a collection
Philosophy and Ethics
C1 · 50 words · Philosophical concepts and ethical reasoning.