喜樂美語

axiom of choice

原始詞典資料1 筆記錄

這個字我們還沒有寫成教學內容。以下是外部詞典記錄的用法，原文照列，方便你先看懂它的意思。

axiom of choicenoun

  • 1

    mathematicssciencesset-theoryOne of the axioms of set theory, equivalent to the statement that an arbitrary direct product of non-empty sets is non-empty; any version of said axiom, for example specifying the cardinality of the number of sets from which choices are made.

    • The axiom of choice is logically equivalent to the assertion that every vector space has a basis.
    • If V = L then the axioms of choice and the continuum hypothesis are both true, and the assertion that a measurable cardinal exists is false.

資料來源：英文維基詞典 English Wiktionary（CC BY-SA 4.0）。 原文照列，未經改寫。