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Logical double negation information


Logical double negation may refer to:

  • Logical double negation (logic)
  • Logical double negation (linguistics)

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Logical double negation

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Logical double negation may refer to: Logical double negation (logic) Logical double negation (linguistics) This disambiguation page lists articles associated...

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Double negation

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principle of double negation, i.e. a proposition is equivalent of the falsehood of its negation." Double negation elimination and double negation introduction...

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Negation

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used precedence of logical operators. Within a system of classical logic, double negation, that is, the negation of the negation of a proposition P {\displaystyle...

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Double negative

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doubled negatives intensify the negation. Languages where multiple negatives affirm each other are said to have negative concord or emphatic negation...

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Truth table

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of logical NAND, it is clearly expressible as a compound of NOT and AND. The negation of a conjunction: ¬(p ∧ q), and the disjunction of negations: (¬p) ∨ (¬q)...

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Negation normal form

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In mathematical logic, a formula is in negation normal form (NNF) if the negation operator ( ¬ {\displaystyle \lnot } , not) is only applied to variables...

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Logical reasoning

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rest on a set of basic logical intuitions accepted by most logicians. They include the law of excluded middle, the double negation elimination, the principle...

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Logical equivalence

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are derivable from each other via the rules of contraposition and double negation. Semantically, (1) and (2) are true in exactly the same models (interpretations...

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Bitwise operation

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bitwise NOT, or bitwise complement, is a unary operation that performs logical negation on each bit, forming the ones' complement of the given binary value...

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Logical disjunction

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disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically notated...

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List of logic symbols

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in the sentence "The interest rate changed. March 20% → April 21%". The negation symbol is commonly written as the prime symbol (′ ). Example: p′ Philosophy...

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Affirmation and negation

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called negation – the grammatical rules for negation vary from language to language, and a given language may have multiple methods of negation. Affirmative...

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Logical conjunction

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logic Fréchet inequalities List of Boolean algebra topics Logical disjunction Logical graph Negation Operation Peano–Russell notation Propositional calculus...

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Boolean algebra

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Boolean algebra uses logical operators such as conjunction (and) denoted as ∧, disjunction (or) denoted as ∨, and the negation (not) denoted as ¬. Elementary...

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Negation introduction

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Negation introduction is a rule of inference, or transformation rule, in the field of propositional calculus. Negation introduction states that if a given...

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Propositional calculus

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prove that a logical formula is tautologous: if a formula is tautologous, its negation is a contradiction, so a tableau built from its negation will close...

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Exclamation mark

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at the beginning of an expression to denote logical negation. For example,!A means "the logical negation of A", also called "not A". This usage has spread...

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Intuitionistic logic

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inconsistent. Having proven such a mere double-negation also still aids in negating other statements through negation introduction, as then ( ϕ → ¬ ψ ) →...

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Glossary of logic

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from the assumption that the negation is false. negation normal form A way of expressing logical formulas where negation is only applied directly to atomic...

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Existential quantification

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the negation of a propositional function's existential quantification is a universal quantification of that propositional function's negation; symbolically...

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Outline of logic

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Exclusive or Logical NOR Logical biconditional Logical conjunction Logical disjunction Material implication Material nonimplication Negation Sheffer stroke...

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Law of excluded middle

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definition cites Hilbert's two axioms of negation A → (~A → B) (A → B) → { (~A → B) → B} Hilbert's first axiom of negation, "anything follows from the false"...

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Rule of replacement

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laws, commutation, association, distribution, double negation, transposition, material implication, logical equivalence, exportation, and tautology. The...

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Logic

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based on basic logical intuitions shared by most logicians. These intuitions include the law of excluded middle, the double negation elimination, the...

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Rule of inference

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logic, a rule of inference, inference rule or transformation rule is a logical form consisting of a function which takes premises, analyzes their syntax...

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