axiom of choice

noun

, Mathematics.

1. the axiom of set theory that given any collection of disjoint sets, a set can be so constructed that it contains one element from each of the given sets.

Example Sentences

One important conjecture in Dr. Kimber’s field is that the Hahn embedding theorem is equivalent to the axiom of choice, making it one of many, many equivalent statements.

From Scientific American

Dr. Kimber talked about the relationship between her favorite theorems and the axiom of choice.

From Scientific American

A nine-item list of rules called Zermelo-Fraenkel set theory with the axiom of choice, or ZFC, was established and widely adopted by the 1920s.

From Scientific American

A nine-item list of rules called Zermelo-Fraenkel set theory with the axiom of choice, or ZFC, was established and widely adopted by the 1920s.

From Scientific American