| 释义 |
Boolean, a.|ˈbuːlɪən|
Also Boolian.
[f. the proper name Boole (see below) + -an, -ian.]
Of or pertaining to the work of George Boole (1815–64), English mathematician and logician; Boolean algebra, an abstract system of postulates and symbols applicable to problems in logic and the manipulation of sets; a Boolean ring; Boolean expansion, an expansion of a Boolean expression involving ‘or’ in terms of a logically equivalent series of expressions each involving only ‘and’; Boolean operation (see quot. 1962); Boolean ring, a ring with unity in which every element is idempotent.
1851Cambr. & Dublin Math. Jrnl. VI. 192 The Hessian, or as it ought to be termed, the first Boolian Determinant. 1889Cent. Dict., Boolian algebra. 1913Trans. Amer. Math. Soc. XIV. 481 A set of five independent postulates for Boolean algebras. 1924Ibid. XXVI. 175 A commutative boolean operation which always has an inverse is also associative. 1936M. H. Stone in Ibid. XL. 38 We shall..take as the central theme of this paper not merely Boolean algebras, but, more generally, rings in which every element is idempotent, designating the latter systems as Boolean rings or generalized Boolean algebras. 1948Ambrose & Lazerowitz Fund. Symbolic Logic v. 78 Such a listing of the conjunctive conditions for the truth of a disjunction will be called a Boolean expansion, because it expands a function into a form which exhibits all the conjunctive possibilities for its being true. 1955J. L. Austin How to do Things with Words (1962) ii. 17 Despite the name, you do not when bigamous marry twice. (In short, the algebra of marriage is Boolean.) 1962Gloss. Autom. Data Processing (B.S.I.) 29 Boolean operation, an operation depending on the application of the rules of Boolean algebra. By extension, any operation in which the operands and results take either one of two values or states, i.e. any logical operation on single binary digits. 1964Language XL. 266 The designatum of the whole expression is a Boolean sum of the designata of the members. |
