English Dictionary

uncountable set

名詞

(mathematics) A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers.

日本語の意味

数学において、無限の要素を持ち、その要素を自然数と一対一対応させることができない集合。すなわち、自然数全体の集合より大きな濃度を持つ集合。

The set of real numbers between 0 and 1 is an uncountable set that cannot be put into a one-to-one correspondence with the natural numbers.

区間(0,1)に含まれる実数の集合は、自然数の集合よりも大きな濃度を持ち、したがって自然数と一対一対応させることができません。

意味（1）

(mathematics) A set, containing infinite number of elements, whose elements can not be mapped one-to-one to the natural numbers. A set with a cardinality greater than that of the set of natural numbers.

uncountable sets （ plural ）