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单词 number theory
释义

number theoryn.

Brit. /ˈnʌmbə ˌθɪəri/, U.S. /ˈnəmbər ˌθiəri/, /ˈnəmbər ˌθɪri/
Forms: also with capital initials.
Origin: Formed within English, by compounding. Etymons: number n., theory n.
Etymology: < number n. + theory n. In sense 2 after French théorie des nombres (A. M. Legendre Essai sur la théorie des nombres (1798)). Compare German Zahlentheorie (1863 or earlier).
1. A doctrine or theory concerned with the cosmic significance of numbers and proportions, esp. that derived from the ancient Pythagorean school. historical.
ΘΚΠ
the mind > mental capacity > philosophy > mathematical philosophy > [noun] > doctrines of
number theory1899
mathematicism1917
proof theory1929
finitism1935
constructivism1959
1899 Philos. Rev. 8 656 The doctrine of opposites came first, the number-theory of the Pythagoreans of Aristotle is a later development.
1911 Amer. Math. Monthly 18 80 It [sc. the philosopher's game, ‘rithmomachia’] cannot be revived, since the interest in the number theory for which it stood has passed away.
1959 Stud. in Renaissance 6 56 It would be a mistake to press too far the application of Pythagorean number theory to poetry.
1994 MLN 109 180 Paul Oppenheimer speculates that the sonnet itself may be derived from Pythagorean–Platonic number theory.
2. Mathematics. The branch of mathematics dealing with the properties and relationships of numbers, esp. the positive integers. Cf. theory n. 1b.
ΘΚΠ
the world > relative properties > number > mathematics > [noun] > theories or branches of
menadry1570
pure mathematics1605
mechanics1612
residuation1846
chaos theory1880
number theory1901
formalism1913
intuitionism1913
replacement theory1914
biomathematics1923
proof theory1929
finitism1935
mereology1938
combinatorics1941
cryptarithmetic1943
game theory1945
numerical analysis1946
queueing theory1951
constructivism1959
complexity1963
catastrophe theory1971
chaology1985
1811 P. Barlow (title) An elementary investigation of the theory of numbers.]
1901 Amer. Math. Monthly 8 28 This treatise [sc. Gauss's Disquisitiones Arithmeticæ], Legendre's Théorie des nombres and Derichlet's Vorlesunger über Zahlentheorie are the standards on the Number Theory.
1948 O. Ore Number Theory v. 76 The study of these laws in the distribution of the primes falls in the field of analytic number theory.
1994 Guardian 24 June ii. 1/1 Number Theory, on the face of it one of the most recondite and other-worldly provinces of mathematics.
This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022).
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n.1899
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