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 logical English train a scholar as they train an engineer. Oxford is Greek factory, as Wilton mills weave carpet, and Sheffield grinds steel. They know the use of a tutor, as they know the use of a horse; and they draw the greatest amount of benefit from both. The reading men are kept by hard walking, hard riding, and measured eating and drinking, at the top of their condition, and two days before the examination, do not work but lounge, ride, or run, to be fresh on the college doomsday.”
—Ralph Waldo Emerson (1803–1882)
“In the United States all business not transacted over the telephone is accomplished in conjunction with alcohol or food, often under conditions of advanced intoxication. This is a fact of the utmost importance for the visitor of limited funds ... for it means that the most expensive restaurants are, with rare exceptions, the worst.”
—John Kenneth Galbraith (b. 1908)