最終更新日：2024/07/30

Dictionary quizzes to help you remember vocabulary

(set theory, of a set) That is both countable and infinite; having the same cardinality as the set of natural numbers; formally, such that a bijection exists from ℕ to the set.

正解を見る

countably infinite

問題を編集する

編集履歴（0）

元となった辞書の項目

countably infinite

adj

(set theory, of a set) That is both countable and infinite; having the same cardinality as the set of natural numbers; formally, such that a bijection exists from ℕ to the set.

The set of natural numbers is countably infinite.

Google翻訳 / DeepL翻訳

詳細

意味（1）

(set theory, of a set) That is both countable and infinite; having the same cardinality as the set of natural numbers; formally, such that a bijection exists from ℕ to the set.

This one-to-one correspondence between the set of positive integers and the set of pairs of positive integers indicates that the set of pairs is countably infinite. Since the set of positive rational numbers is a subset of the set of all pairs of positive integers, the set of positive rational numbers is at most countably infinite. Then, since it is also at least countably infinite, the set of positive rational numbers is countably infinite.

Google翻訳 / DeepL翻訳

詳細

countably infinite

Dictionary quizzes to help you remember vocabulary

ログイン / 新規登録

アプリをダウンロード！

countably infinite

Dictionary quizzes to help you remember vocabulary

ログイン / 新規登録

ログイン

──── or ────

新規登録

──── or ────

アプリをダウンロード！