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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) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle...
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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 as ∨...
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Negation (redirect from Negation (logical connective))
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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linguistics, a word or phrase like "therefore" or "in other words". Logical connective Connective (botany), in the stamen of flowers, the sterile tissue that...
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List of logic symbols (redirect from Logical symbols)
suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation...
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First-order logic (section Logical symbols)
"Plato". Due to the ability to speak about non-logical individuals along with the original logical connectives, first-order logic includes propositional logic...
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logical terms it contains which are logical connectives (e.g. "or", "and", and "nor"). Not all logical truths are tautologies of such a kind. Logical...
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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...
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Interpretation (logic) (redirect from Logical interpretation)
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...
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types of logical constants are logical connectives and quantifiers. The equality predicate (usually written '=') is also treated as a logical constant...
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Sheffer stroke (redirect from Sheffer connective)
Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation...
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Material conditional (redirect from Material implication (logical connective))
definition, this approach to logical connectives permits the examination of structurally identical propositional forms in various logical systems, where somewhat...
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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...
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mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to...
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Truth table (redirect from Logical truth table)
First-order logic Functional completeness Karnaugh maps Logic gate Logical connective Logical graph Mathematical table Method of analytic tableaux Propositional...
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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...
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Outline of logic (section Logical connectives)
Predicate variable Literal Metavariable Logical constants Logical connective Quantifier Identity Brackets Logical connective Converse implication Converse nonimplication...
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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...
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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...
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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...
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False (logic) (redirect from Logical falsity)
is the state of possessing negative truth value and is a nullary logical connective. In a truth-functional system of propositional logic, it is one of...
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Formal system (redirect from Logical calculus)
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...
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and logical connectives not in terms of interpretations, as in Tarskian approaches to semantics, but in the role that the proposition or logical connective...
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gate whose function is the logical complement of the Exclusive OR (XOR) gate. It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow...
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Exclusive or (redirect from Logical inequality)
disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs...
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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...
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Type theory (redirect from Logical type)
Gregory Bateson introduced a theory of logical types into the social sciences; his notions of double bind and logical levels are based on Russell's theory...
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Implication (redirect from Implication (logical))
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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