material-equivalence

material equivalence

noun Logic.
equivalence ( def 4b ).
Dictionary.com Unabridged

equivalence

[ih-kwiv-uh-luhns or for 3, ee-kwuh-vey-luhns]
noun Also, equivalency (for defs 1, 2).
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.
a.
Also called material implication. the relation between two propositions such that the second is not false when the first is true.
b.
Also called material equivalence. the relation between two propositions such that they are either both true or both false.
c.
the relation between two propositions such that each logically implies the other.
adjective
5.
(of a logical or mathematical relationship) reflexive, symmetrical, and transitive.

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

nonequivalence, noun
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
equivalence or equivalency (ɪˈkwɪvələns)
 
n
1.  the state of being equivalent or interchangeable
2.  maths, logic
 a.  the relationship between two statements, each of which implies the other
 b.  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 --(pq) ≡ --p ∨ --q
 
equivalency or equivalency
 
n

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Etymonline
Word Origin & History

equivalence
1540s, from Fr. équivalence, from M.L. aequivalentia, from aequivalentem (see equivalent). Related: Equivalency (1530s).
Online Etymology Dictionary, © 2010 Douglas Harper
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