equivalence

American  

[ih-kwiv-uh-luhns, ee-kwuh-vay-luhns] / ɪˈkwɪv ə ləns, ˌi kwəˈveɪ ləns /

noun

1. the state or fact of being equivalent; equality in value, force, significance, etc.

2. an instance of this; an equivalent.

3. Chemistry. the quality of having equal valence.

4. Logic, Mathematics.

   1. Also called material implication. the relation between two propositions such that the second is not false when the first is true.

   2. Also called material equivalence. the relation between two propositions such that they are either both true or both false.

   3. the relation between two propositions such that each logically implies the other.

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adjective

1. (of a logical or mathematical relationship) reflexive, symmetrical, and transitive.

equivalence British  

/ ɪˈkwɪvələns /

noun

1. the state of being equivalent or interchangeable

2. maths logic

   1. the relationship between two statements, each of which implies the other

   2. Also called: biconditional. the binary truth-function that takes the value true when both component sentences are true or when both are false, corresponding to English if and only if . Symbol: ≡ or ↔, as in –( p ∧ q ) ≡ – p ∨ – q

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Other Word Forms

• nonequivalence
  noun

Etymology

Origin of equivalence

1535–45; < Middle French < Medieval Latin aequivalentia, equivalent to Latin aequivalent- equivalent + -ia -ia; see -ence

Explanation

If you were having trouble choosing between chocolate cake and an ice cream sundae because you love both equally, you might say these two treats have an equivalence. The noun equivalence describes the state of being equal, and it can be used any time things are basically interchangeable. If you came down with a stomach bug and there were three different medicines your doctor could prescribe — any one of them being likely to cure you — they would have an equivalence. In math, the word equivalence comes up a lot, and it's always represented by an equal sign.

Example Sentences

See Examples For:

equivalence

Hence the film’s clunky equivalence of Hansen’s dogged chase to that of the American army.

From Salon ● Sep. 26, 2026

It later became central to Albert Einstein's theory of gravity through the equivalence principle, which connects gravitational mass with inertial mass.

From Science Daily ● Sep. 18, 2026

She said there was no "moral equivalence, or judgements about worth" in her tribute.

From BBC ● Aug. 25, 2026

Nasdaq’s design involves issuers sponsoring tokens, integrating blockchain records into official share registries, preserving legal equivalence.

From Barron's ● Mar. 9, 2026

I closed my eyes and went over the propositional calculus, trying to visualize the truth tables for conjunction, disjunction, equivalence, and material implication.

From "The Chosen" by Chaim Potok