material implication
logical connective between two assertions, frequently symbolized by a (most often double) arrow to the right
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material implication
Summary
material implication is a logical operator[1]. It draws 3,950 Wikipedia views per month (logical_operator category, ranking #2 of 7).[2]
Key Facts
- material implication's instance of is recorded as logical operator[3].
- material implication's instance of is recorded as Boolean function[4].
- material implication is a type of proposition[5].
- material implication is part of if and only if[6].
- material implication's Commons category is recorded as Material conditional[7].
- material implication is the opposite of converse implication[8].
- material implication's Unicode character is recorded as ⟹[9].
- material implication's Unicode character is recorded as →[10].
- material implication's Unicode character is recorded as ⇒[11].
- material implication's Unicode character is recorded as ⟶[12].
- material implication's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[13].
- material implication's described by source is recorded as Q140169500[14].
- material implication's described by source is recorded as mathisfun.com dictionary[15].
- material implication's main Wikidata property is recorded as P7719[16].
- material implication's different from is recorded as logical consequence[17].
- material implication's TeX string is recorded as \rightarrow[18].
- material implication's TeX string is recorded as \DoubleRightArrow[19].
- material implication's TeX string is recorded as \DoubleLongRightArrow[20].
- material implication's TeX string is recorded as \longrightarrow[21].
- material implication's studied by is recorded as Boolean algebra[22].
- material implication's maintained by WikiProject is recorded as WikiProject Mathematics[23].
Body
Definition and Type
Recorded instance of include logical operator[3] and Boolean function[4]. material implication is a type of proposition[5]. It is the opposite of converse implication[8].
Use and Application
material implication is part of if and only if[6].
Why It Matters
material implication draws 3,950 Wikipedia views per month (logical_operator category, ranking #2 of 7).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[24] It is known by 65 alternative names across languages and contexts.[25]