axiom of choice

Etymology
A of  (now more commonly ), which first appeared in print with a description of the axiom in 1908,, Untersuchungen über die Grundlagen der Mengenlehre I ["Investigations in the foundations of set theory I"], Mathematische Annalen, 65 (although the paper was dated 1907).

Noun

 * 1)  One 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.

Translations

 * Armenian: ընտրության աքսիոմ
 * Czech: axiom výběru
 * Dutch:
 * Finnish: valinta-aksiooma
 * French:
 * German: Auswahlaxiom
 * Hungarian:
 * Italian: assioma della scelta
 * Japanese: 選択公理, 選出公理
 * Polish: aksjomat wyboru, pewnik wyboru
 * Serbo-Croatian: aksiom izbora
 * Slovak: axióma výberu
 * Swedish: urvalsaxiom