- In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty. Informally put, the axiom of choice says that given any collection of sets, each containing at least one element, it is possible to construct a new set by choosing one element from each set, even if the collection is infinite.
He got up, took his mat and walked out in full view of them all. This amazed everyone and they praised God, saying, “We have never seen anything like this!”
Mark 2:12 NIV