Logical connective & Propositional variable - Unionpedia, the concept map

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Difference between Logical connective and Propositional variable

Logical connective vs. Propositional variable

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a logical constant. In mathematical logic, a propositional variable (also called a sentence letter, sentential variable, or sentential letter) is an input variable (that can either be true or false) of a truth function.

Atomic formula

In mathematical logic, an atomic formula (also known as an atom or a prime formula) is a formula with no deeper propositional structure, that is, a formula that contains no logical connectives or equivalently a formula that has no strict subformulas.

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Boolean algebra

In mathematics and mathematical logic, Boolean algebra is a branch of algebra.

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Boolean domain

In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true.

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Boolean function

In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually, or). Alternative names are switching function, used especially in older computer science literature, and truth function (or logical function), used in logic.

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Logical conjunction

In logic, mathematics and linguistics, and (\wedge) is the truth-functional operator of conjunction or logical conjunction.

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Mathematical logic

Mathematical logic is the study of formal logic within mathematics.

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Negation

In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P to another proposition "not P", standing for "P is not true", written \neg P, \mathord P or \overline.

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Propositional calculus

The propositional calculus is a branch of logic.

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Truth function

In logic, a truth function is a function that accepts truth values as input and produces a unique truth value as output.

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false).

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