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 ∨...

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...

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

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

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...

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

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...

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

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

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

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...

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

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

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

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

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

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

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

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...

operators of propositional logic are: The logical NOR, taken by itself, is a functionally complete set of connectives. This can be proved by first showing...

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

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...

either true or false, the meanings of these logical connectives often have the meaning of their logical counterparts. However, with descriptions of behavior...

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...

propositions. A formula consists of propositional variables connected by logical connectives, built up in such a way that the truth of the overall formula can...

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...

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