Last Updated :2025/11/22

uncountable set

Noun
Japanese Meaning
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。
What is this buttons?

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。

plural

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(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.

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uncountable set

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.

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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.

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