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:
“Grammar is a tricky, inconsistent thing. Being the backbone of speech and writing, it should, we think, be eminently logical, make perfect sense, like the human skeleton. But, of course, the skeleton is arbitrary, too. Why twelve pairs of ribs rather than eleven or thirteen? Why thirty-two teeth? It has something to do with evolution and functionalism—but only sometimes, not always. So there are aspects of grammar that make good, logical sense, and others that do not.”
—John Simon (b. 1925)
“He turned out to belong to the type of publisher who dreams of becoming a male muse to his author, and our brief conjunction ended abruptly upon his suggesting I replace chess by music and make Luzhin a demented violinist.”
—Vladimir Nabokov (1899–1977)