Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.
The conjunctive identity is 1, which is to say that AND-ing an expression with 1 will never change the value of the expression. In keeping with the concept of vacuous truth, when conjunction is defined as an operator or function of arbitrary arity, the empty conjunction (AND-ing over an empty set of operands) is often defined as having the result 1.
Read more about Logical Conjunction: Introduction and Elimination Rules, Properties, Applications in Computer Engineering, Set-theoretic Intersection, Natural Language
Famous quotes containing the words logical and/or conjunction:
“Nature’s law says that the strong must prevent the weak from living, but only in a newspaper article or textbook can this be packaged into a comprehensible thought. In the soup of everyday life, in the mixture of minutia from which human relations are woven, it is not a law. It is a logical incongruity when both strong and weak fall victim to their mutual relations, unconsciously subservient to some unknown guiding power that stands outside of life, irrelevant to man.”
—Anton Pavlovich Chekhov (1860–1904)
“Therefore the love which us doth bind,
But fate so enviously debars,
Is the conjunction of the mind,
And opposition of the stars.”
—Andrew Marvell (1621–1678)