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, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as ∨ {\displaystyle...

of a negation is called a negand or negatum. Negation is a unary logical connective. It may furthermore be applied not only to propositions, but also...

bidirectional implication or biimplication or bientailment, is the logical connective used to conjoin two statements P {\displaystyle P} and Q {\displaystyle...

\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...

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

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

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...

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

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

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

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

an interpretation does not have anything to say about logical symbols, e.g. logical connectives " a n d {\displaystyle \mathrm {and} } ", " o r {\displaystyle...

(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...

Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication...

functionally complete set of connectives { → , ⊥ } {\displaystyle \{\to ,\bot \}} are called f-implicational. The other connectives, such as ¬ {\displaystyle...

'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid...

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

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

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...

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

non-logical symbols and its logical symbols. The latter include logical connectives, quantifiers, and variables that stand for statements. A non-logical symbol...

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

Logical equality is a logical operator that compares two truth values, or more generally, two formulas, such that it gives the value True if both arguments...

language and involving logical connectives, which are joined by juxtaposition to other sentences, which in turn may have logical structure. Medieval logicians...

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

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...

sentence contains no logical connectives, variables, or quantifiers. A sentence consisting of one or more sentences and a logical connective is a compound (or...