• Thumbnail for Logical connective
    logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. Connectives can be used...
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  • Thumbnail for Logical conjunction
    ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle...
    18 KB (1,455 words) - 00:43, 30 September 2024
  • Thumbnail for Logical disjunction
    disjunction, also known as logical disjunction or logical or or logical addition or inclusive disjunction, is a logical connective typically notated as ∨...
    16 KB (1,941 words) - 15:35, 26 October 2024
  • suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation...
    25 KB (229 words) - 11:25, 14 September 2024
  • Thumbnail for Negation
    false when P {\displaystyle P} is true. Negation is thus a unary logical connective. It may be applied as an operation on notions, propositions, truth...
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  • Thumbnail for Material conditional
    definition, this approach to logical connectives permits the examination of structurally identical propositional forms in various logical systems, where somewhat...
    16 KB (1,745 words) - 23:49, 27 September 2024
  • "Plato". Due to the ability to speak about non-logical individuals along with the original logical connectives, first-order logic includes propositional logic...
    93 KB (13,119 words) - 06:28, 11 October 2024
  • If and only if (category Logical connectives)
    (often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements. The biconditional is true in two cases, where...
    16 KB (1,894 words) - 00:54, 14 September 2024
  • linguistics, a word or phrase like "therefore" or "in other words". Logical connective Connective (botany), in the stamen of flowers, the sterile tissue that...
    415 bytes (85 words) - 01:53, 31 March 2023
  • Thumbnail for Sheffer stroke
    Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation...
    18 KB (1,455 words) - 12:10, 25 October 2024
  • Propositional calculus (category Logical calculi)
    sentence to create a new sentence. A logical connective, or propositional connective, is a kind of sentential connective with the characteristic feature that...
    110 KB (11,043 words) - 19:58, 21 October 2024
  • Lincoln. Nor does logical interpretation have anything to say about logical connectives like 'and', 'or' and 'not'. Though we may take these symbols to stand...
    32 KB (4,422 words) - 02:29, 30 September 2024
  • Thumbnail for Logic
    Logic (redirect from Logical)
    example, the expression " p ∧ q {\displaystyle p\land q} " uses the logical connective ∧ {\displaystyle \land } (and). It could be used to express a sentence...
    145 KB (16,445 words) - 14:44, 9 October 2024
  • types of logical constants are logical connectives and quantifiers. The equality predicate (usually written '=') is also treated as a logical constant...
    3 KB (289 words) - 01:25, 7 May 2024
  • Thumbnail for Logical biconditional
    mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to...
    20 KB (1,791 words) - 04:02, 27 August 2024
  • Truth function (category Logical truth)
    exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every...
    22 KB (2,239 words) - 21:38, 5 September 2024
  • is true because of the logical terms it contains which are logical connectives (e.g. "or", "and", and "nor"). Not all logical truths are tautologies of...
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  • First-order logic Functional completeness Karnaugh maps Logic gate Logical connective Logical graph Mathematical table Method of analytic tableaux Propositional...
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  • Predicate variable Literal Metavariable Logical constants Logical connective Quantifier Identity Brackets Logical connective Converse implication Converse nonimplication...
    24 KB (2,096 words) - 08:58, 29 October 2024
  • In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining...
    16 KB (1,951 words) - 10:25, 19 September 2024
  • Axiom (redirect from Logical axiom)
    primitive connectives can be alternatively constructed. These axiom schemata are also used in the predicate calculus, but additional logical axioms are...
    34 KB (4,925 words) - 14:20, 28 September 2024
  • Thumbnail for Logical NOR
    \leftrightarrow P\downarrow (Q\downarrow R)} . The logical NOR, taken by itself, is a functionally complete set of connectives. This can be proved by first showing...
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  • Logical consequence (also entailment) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement...
    17 KB (1,898 words) - 03:04, 30 October 2024
  • with the deductive nature of the system. The logical consequence (or entailment) of the system by its logical foundation is what distinguishes a formal system...
    14 KB (1,538 words) - 00:02, 24 August 2024
  • Thumbnail for Exclusive or
    disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs...
    31 KB (3,348 words) - 20:58, 8 October 2024
  • Soundness (redirect from Logical soundness)
    that can be proven in the system is logically valid with respect to the logical semantics of the system. In deductive reasoning, a sound argument is an...
    8 KB (1,096 words) - 23:18, 10 May 2024
  • the larger system. subordinate connective A logical connective that occurs within the scope of another logical connective. substitution The act of replacing...
    270 KB (30,189 words) - 18:55, 31 October 2024
  • gate whose function is the logical complement of the Exclusive OR (XOR) gate. It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow...
    10 KB (1,148 words) - 06:06, 16 June 2024
  • implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication (rule of inference), a logical rule of...
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  • are P. Philosophy portal Aristotle Contraposition Inverse (logic) Logical connective Obversion Term logic Transposition (logic) Robert Audi, ed. (1999)...
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