Axiom of choice
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The Axiom of choice is an axiom of set theory. The axiom of choice says that if one is given any collection of boxes, each containing at least one object, it is possible to make a selection of exactly one object from each box, even if the collection is infinite.
Wikipedia states it as ,"Formally, it states that for every indexed family {\displaystyle (S_{i})_{i\in I}} (S_{i})_{i\in I} of nonempty sets there exists an indexed family {\displaystyle (x_{i})_{i\in I}} (x_{i})_{i\in I} of elements such that {\displaystyle x_{i}\in S_{i}} x_{i}\in S_{i} for every {\displaystyle i\in I} i\in I."
It was discovered by German mathematician, Ernst Zermelo in 1904.
