How Many Numbers Are Between 0 and 1?
Between 0 and 1 there are infinitely many numbers — but not all infinities are the same size. Using Cantor's diagonal argument, we show the numbers in that tiny gap form a bigger infinity than all the counting numbers 1, 2, 3, … combined. One of the most beautiful and mind-bending ideas in all of mathematics, explained from scratch. #infinity #math #cantor #settheory #uncountable #mathexplained #numbers #mindblown #mathematics #owlid
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