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:
“The sensual and spiritual are linked together by a mysterious bond, sensed by our emotions, though hidden from our eyes. To this double nature of the visible and invisible world—to the profound longing for the latter, coupled with the feeling of the sweet necessity for the former, we owe all sound and logical systems of philosophy, truly based on the immutable principles of our nature, just as from the same source arise the most senseless enthusiasms.”
—Karl Wilhelm Von Humboldt (1767–1835)
“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)