equivalence

[ih-kwiv-uh-luhns, ee-kwuh-vey-luhns]

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.

adjective

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

equivalence

/ 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

Other Word Forms

• nonequivalence noun

Word History and Origins

Origin of equivalence¹

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

Example Sentences

Israel’s war on Gaza increasingly resembles a neoliberalized version of the Final Solution, not in historical equivalence but in its genocidal logic.

From Salon

Pressed on whether the US strikes were legal, Lammy responded: "I don't say it's not legitimate" and said there was "no moral equivalence" with the UK's clear stance that Russia's invasion of Ukraine was illegal.

From BBC

Israel and the Trump administration reject the idea that the laws of war apply equally to all sides, because they claim it implies a false and wrong equivalence between Hamas and Israel.

From BBC

We must stop the false equivalence that there are “two sides” to slashing funds, programs and agencies approved by Congress.

From Salon

He appears to find some equivalence between undocumented immigrants and “invading aliens.”

From Los Angeles Times