Last Updated
：2026/01/05
選択公理
Hiragana
せんたくこうり
Noun
Japanese Meaning
集合論において、任意の空でない集合族に対して、それぞれの集合から1つずつ要素を選び出す関数（選択関数）の存在を主張する公理。 / 数学基礎論で用いられる公理の一つで、多くの定理の証明に有用だが、直観的に受け入れにくい側面もあるとされる原理。
Easy Japanese Meaning
たくさんの中から一つずつえらぶことがいつでもできると考える数学のきまり
Chinese (Simplified) Meaning
集合论中的公理，断言对任意非空集合族存在选择函数 / 允许从每个非空集合各选取一个元素的数学公理
Chinese (Traditional) Meaning
集合論中的公理，保證對任意非空集合族可選取每個集合的一個元素。 / 在 ZF 中與良序定理、佐恩引理等價的公理。 / 允許構造選擇函數，常用於證明存在性結果。
Korean Meaning
집합론에서 서로소인 비공집합들의 족에서 각 집합에서 하나씩 선택할 수 있음을 보장하는 공리 / 모든 비공집합들의 모임에 선택 함수가 존재함을 주장하는 공리
Vietnamese Meaning
tiên đề lựa chọn (trong lý thuyết tập hợp) / khẳng định tồn tại hàm chọn cho mọi họ các tập hợp không rỗng
Tagalog Meaning
aksioma ng pagpili (sa matematika) / prinsipyong nagsasaad na maaaring pumili ng tig-iisang elemento mula sa bawat hindi walang laman na hanay sa isang koleksiyon / pahayag na naggagarantiya ng pag-iral ng function ng pagpili
Sense（1）
axiom of choice
（ canonical ）
（ romanization ）
（ hiragana ）
Quizzes for review
See correct answer
The axiom of choice is one of the important axioms that form the foundation of mathematics.
The axiom of choice is one of the important axioms that form the foundation of mathematics.
See correct answer
選択公理は数学の基礎を形成する重要な公理の一つです。
Japanese - English
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