Booleanadj.

Brit.

/ˈbuːlɪən/, U.S.

/ˈbuliən/

Forms: Also Boolian.

Etymology: < the name of George Boole (1815–64), English mathematician and logician, + -an suffix, -ian suffix.

Of or relating to the work of George Boole. Boolean algebra n. an abstract system of postulates and symbols applicable to problems in logic and the manipulation of sets; a Boolean ring. Boolean expansion n. an expansion of a Boolean expression involving ‘or’ in terms of a logically equivalent series of expressions each involving only ‘and’. Boolean operation n. (see quot. 1962².) Boolean ring n. a ring with unity in which every element is idempotent.

ΘΚΠ

the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to

physico-mathematical1660

analytical1694

Bernoulli1749

analytic1761

Boolean1851

Sturmian1853

Bernoullian1876

Fermatian1887

Grassmannian1894

number-theoretic1899

Cantor1902

Cantorian1912

Tauberian1913

Thiessen1923

intuitionist1926

metamathematical1926

finitist1931

number-theoretical1936

finitistic1937

proof-theoretic1940

formalistic1941

Gödelian1942

constructivist1943

constructivistic1944

game-theoretical1946

game-theoretic1950

finitary1952

perturbation-theoretic1964

perturbation-theoretical1968

constructive1979

1851 Cambr. & Dublin Math. Jrnl. 6 192 The Hessian, or as it ought to be termed, the first Boolian Determinant.

1889 Cent. Dict. Boolian algebra.

1913 Trans. Amer. Math. Soc. 14 481 A set of five independent postulates for Boolean algebras.

1924 Trans. Amer. Math. Soc. 26 175 A commutative boolean operation which always has an inverse is also associative.

1936 M. H. Stone in Trans. Amer. Math. Soc. 40 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.

1948 A. Ambrose & M. 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.

1962 J. L. Austin et al. How to do Things with Words ii. 17 Despite the name, you do not when bigamous marry twice. (In short, the algebra of marriage is Boolean.)

1962 Gloss. 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.

1964 Language 40 266 The designatum of the whole expression is a Boolean sum of the designata of the members.

This entry has not yet been fully updated (first published 1933; most recently modified version published online December 2021).

单词	boolean
释义	Booleanadj. Brit. /ˈbuːlɪən/, U.S. /ˈbuliən/ Forms: Also Boolian. Etymology: < the name of George Boole (1815–64), English mathematician and logician, + -an suffix, -ian suffix. Of or relating to the work of George Boole. Boolean algebra n. an abstract system of postulates and symbols applicable to problems in logic and the manipulation of sets; a Boolean ring. Boolean expansion n. an expansion of a Boolean expression involving ‘or’ in terms of a logically equivalent series of expressions each involving only ‘and’. Boolean operation n. (see quot. 1962².) Boolean ring n. a ring with unity in which every element is idempotent. ΘΚΠ the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to physico-mathematical1660 analytical1694 Bernoulli1749 analytic1761 Boolean1851 Sturmian1853 Bernoullian1876 Fermatian1887 Grassmannian1894 number-theoretic1899 Cantor1902 Cantorian1912 Tauberian1913 Thiessen1923 intuitionist1926 metamathematical1926 finitist1931 number-theoretical1936 finitistic1937 proof-theoretic1940 formalistic1941 Gödelian1942 constructivist1943 constructivistic1944 game-theoretical1946 game-theoretic1950 finitary1952 perturbation-theoretic1964 perturbation-theoretical1968 constructive1979 1851 Cambr. & Dublin Math. Jrnl. 6 192 The Hessian, or as it ought to be termed, the first Boolian Determinant. 1889 Cent. Dict. Boolian algebra. 1913 Trans. Amer. Math. Soc. 14 481 A set of five independent postulates for Boolean algebras. 1924 Trans. Amer. Math. Soc. 26 175 A commutative boolean operation which always has an inverse is also associative. 1936 M. H. Stone in Trans. Amer. Math. Soc. 40 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. 1948 A. Ambrose & M. 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. 1962 J. L. Austin et al. How to do Things with Words ii. 17 Despite the name, you do not when bigamous marry twice. (In short, the algebra of marriage is Boolean.) 1962 Gloss. 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. 1964 Language 40 266 The designatum of the whole expression is a Boolean sum of the designata of the members. This entry has not yet been fully updated (first published 1933; most recently modified version published online December 2021). < adj.1851
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