non-denumerableadj.

Brit.

/ˌnɒndᵻˈnjuːm(ə)rəbl/, U.S.

/ˌnɑndəˈn(j)um(ə)rəb(ə)l/,

/ˌnɑndiˈn(j)um(ə)rəb(ə)l/

Origin: Formed within English, by derivation. Etymons: non- prefix, denumerable adj.

Etymology: < non- prefix + denumerable adj.

Mathematics.

Of an infinite set: not denumerable; not having a one-to-one correspondence with the set of integers.

ΚΠ

1905 Ann. Math. 6 175 An example of a non-denumerable class is the class of all non-terminating decimal fractions.

1937 Mind 46 59 The properties of integers are non-denumerable.

1968 J. J. C. Smart Between Sci. & Philos. vii. 245 A non-denumerable infinity of points.

1973 H. Nemerov Gnomes & Occasions in Coll. Poems (1977) 442 The continuum nondenumerable and dense, Dame Kind keeps rattling off her evidence.

1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxiii. 516 The infinity of real numbers of is of a type different from the infinity of integers, being nondenumerable.

This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022).

单词	non-denumerable
释义	non-denumerableadj. Brit. /ˌnɒndᵻˈnjuːm(ə)rəbl/, U.S. /ˌnɑndəˈn(j)um(ə)rəb(ə)l/, /ˌnɑndiˈn(j)um(ə)rəb(ə)l/ Origin: Formed within English, by derivation. Etymons: non- prefix, denumerable adj. Etymology: < non- prefix + denumerable adj. Mathematics. Of an infinite set: not denumerable; not having a one-to-one correspondence with the set of integers. ΚΠ 1905 Ann. Math. 6 175 An example of a non-denumerable class is the class of all non-terminating decimal fractions. 1937 Mind 46 59 The properties of integers are non-denumerable. 1968 J. J. C. Smart Between Sci. & Philos. vii. 245 A non-denumerable infinity of points. 1973 H. Nemerov Gnomes & Occasions in Coll. Poems (1977) 442 The continuum nondenumerable and dense, Dame Kind keeps rattling off her evidence. 1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxiii. 516 The infinity of real numbers of is of a type different from the infinity of integers, being nondenumerable. This entry has been updated (OED Third Edition, December 2003; most recently modified version published online March 2022). < adj.1905
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