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material implication

 - 3 dictionary results

e⋅quiv⋅a⋅lence

  [i-kwiv-uh-luhns or, for 3, 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.
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.
Also, equivalency (for defs. 1, 2).

Origin:
1535–45; < MF < ML aequivalentia, equiv. to L aequivalent- equivalent + -ia -ia; see -ence
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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Medical Dictionary

Main Entry: equiv·a·lence
Pronunciation: i-'kwiv(-&)-l&n(t)s
Function: noun
: the state or property of being equivalent
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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