Mathematicians may be undecided about whether they live in a universe where the continuum hypothesis holds, but machine learning lives in a universe of countable numbershttps://www.nature.com/articles/d41586-019-00083-3 …
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My point was that you can calculate to any level of detail that you like. It doesn't end, because you can always keep going. But it's still calculatable. Pi isn't really "a" number, though. It's a ratio.
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Ratios are numbers, too. Rational numbers are ratios between integers, and they can be fully known. While Pi is the ratio between circumference and diameter of a circle, it is not a rational number. You cannot calculate all of Pi.
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Oooh! I think I figured it out. Pi is a 2D number. It doesn't fit into the linear number line. Pi = 2 but in 2D space.https://twitter.com/thewiseturtle/status/1106195015527653382 …
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numbers are not computable. Unlike pi and e, which are computable, most Reals can’t be specified in a finite way. They can’t be chosen or generated algorithmically (hence Axiom of Choice needed).
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