logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. Connectives can be used...

) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle...

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

suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation...

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...

definition, this approach to logical connectives permits the examination of structurally identical propositional forms in various logical systems, where somewhat...

"Plato". Due to the ability to speak about non-logical individuals along with the original logical connectives, first-order logic includes propositional logic...

(often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements. The biconditional is true in two cases, where...

linguistics, a word or phrase like "therefore" or "in other words". Logical connective Connective (botany), in the stamen of flowers, the sterile tissue that...

Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation...

sentence to create a new sentence. A logical connective, or propositional connective, is a kind of sentential connective with the characteristic feature that...

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...

example, the expression " p ∧ q {\displaystyle p\land q} " uses the logical connective ∧ {\displaystyle \land } (and). It could be used to express a sentence...

types of logical constants are logical connectives and quantifiers. The equality predicate (usually written '=') is also treated as a logical constant...

mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to...

exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every...

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...

First-order logic Functional completeness Karnaugh maps Logic gate Logical connective Logical graph Mathematical table Method of analytic tableaux Propositional...

Predicate variable Literal Metavariable Logical constants Logical connective Quantifier Identity Brackets Logical connective Converse implication Converse nonimplication...

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...

primitive connectives can be alternatively constructed. These axiom schemata are also used in the predicate calculus, but additional logical axioms are...

\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...

Logical consequence (also entailment) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement...

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...

disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs...

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...

the larger system. subordinate connective A logical connective that occurs within the scope of another logical connective. substitution The act of replacing...

gate whose function is the logical complement of the Exclusive OR (XOR) gate. It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow...

implication), a logical connective and binary truth function typically interpreted as "If p, then q" Material implication (rule of inference), a logical rule of...

are P. Philosophy portal Aristotle Contraposition Inverse (logic) Logical connective Obversion Term logic Transposition (logic) Robert Audi, ed. (1999)...