[ ih-kwiv-uh-luh ns or for 3, ee-kwuh-vey-luh ns ]
/ ɪˈkwɪv ə ləns or for 3, ˌi kwəˈveɪ ləns /
noun Also equivalency (for defs 1, 2).
the state or fact of being equivalent; equality in value, force, significance, etc.
an instance of this; an equivalent.
Chemistry. the quality of having equal valence.
- Also called material implication. the relation between two propositions such that the second is not false when the first is true.
- Also called material equivalence. the relation between two propositions such that they are either both true or both false.
- the relation between two propositions such that each logically implies the other.
(of a logical or mathematical relationship) reflexive, symmetrical, and transitive.
Origin of equivalence
Related formsnon·e·quiv·a·lence, noun
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for nonequivalence (1 of 2)
/ (ˌnɒnɪˈkwɪvələns) /
the relationship of being unequal or incomparable
- the relation between two statements only one of which can be true in any circumstances
- a function of two statements that takes the value true only when one but not both of its arguments is true
- a compound statement asserting that just one of its components is true
Abbreviation: exclusive or
British Dictionary definitions for nonequivalence (2 of 2)
/ (ɪˈkwɪvələns) /
the state of being equivalent or interchangeable
- the relationship between two statements, each of which implies the other
- 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
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012