Numbers as Sets
Numbers as Sets
Every child naturally learns how to count, but few non-mathematicians know that the "whole numbers" have been rigorously defined in terms of sets: each ordinal number is defined as the ordered set of all smaller ordinals. This Demonstration visually unpacks this recursive definition for the first few ordinals, letting you select an ordinal number and specifying how many levels deep the translation should be applied.
{0,1,2,…}
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