Abstract: When I was in my freshman year at Stony Brook, a friend of mine was perplexed by an interesting question. Suppose we enumerate the rationals on the interval [0,1] in the “standard” way in which the denominators increase: 0, 1, 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5, 1/6, 5/6, 1/7, … Suppose…Continue Reading Faculty Talk: The Rationality of Irrationals