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Law of excluded middle

In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is true. Symbolically expressed, the law is p ∨ ¬ p {\displaystyle p\lor \neg p} .

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Law of excluded middle

Nodes78
Edges77
Triples49
Avg. degree1.97
Density0.025641
Components1

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Law of excluded middle

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see also · 19
Law of excluded middle → Argument, Axiom, Buddhism, Doctrinal, Foundational, Hilbert, Law, LEM, Mathematical, Opposite, Partition, Pattern, Prasangika, Propositional, Semantic, System, Theorem, Tibetan Buddhism, Type
related to In mathematical logic · 12
Law of excluded middle → Arthur Prior, Curry's, Fraenkel, Furthermore, In, It, Liar's, Paradox, Russell's, The, This, Zermelo
related to Criticisms · 11
Law of excluded middle → Buddhist, Greek, In, Indian, Instead, It, Many, Pyrrhonism, The, The Catuṣkoṭi, These
is a · 1
Law of excluded middle → proof by cases such as follows
related to Examples · 1
Law of excluded middle → For

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Important terminology

law excluded middle logic brouwer proof true principle negation either displaystyle russell false van heijenoort example reprinted infinite mathematical hilbert

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Law of excluded middleis aproof by cases such as follows0.90text
followsinstance ofmust be true.An example of an argument that depends on the law of excluded middle is a proof by cases0.80text
Brouwerinstance ofbut it is not built-in a priori into these systems.Mathematicians0.80text
Arend Heyting have also contested the usefulness of the law of excluded middle in the context of modern mathematics.In mathematical logicIn modern mathematical logicinstance ofbut it is not built-in a priori into these systems.Mathematicians0.80text
the excluded middle has been argued to result in possible self-contradictioninstance ofbut it is not built-in a priori into these systems.Mathematicians0.80text
ternary logicinstance ofPropositional calculus in which there are more than two truth values0.80text
Law of excluded middlerelated to CriticismsThe Catuṣkoṭi0.60section
Law of excluded middlerelated to CriticismsIt0.60section
Law of excluded middlerelated to CriticismsIndian0.60section
Law of excluded middlerelated to CriticismsBuddhist0.60section
Law of excluded middlerelated to CriticismsGreek0.60section
Law of excluded middlerelated to CriticismsPyrrhonism0.60section

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