Today’s shower thought: since almost all real numbers are irrational, it seems surprising that the answer to life, the universe, and everything is a natural number.
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Replying to @aatishb
All the irrational numbers are actually uncomputable functions. You have to express them as algorithms that require infinitely many steps to run. As a result, nothing in the universe can be caused by an irrationally numbered value. Reality is all decorated integers.
10 replies 7 retweets 53 likes -
Math nitpick incoming... not all irrational numbers are uncomputable. The square root of 2, e, and pi are all irrational yet computable. It’s the other way around - all uncomputable numbers are irrational
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Yes, they are computable in the sense that you can give an algorithm that would compute them if you had infinite time and resources. They are not computable by any machine that could be implemented.
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oh I see. “Computable number” is an existing mathematical term. https://en.m.wikipedia.org/wiki/Computable_number … You are describing something different
1 reply 0 retweets 6 likes
Yes, ‘computable number’ means that you can represent it by an algorithm that gives you arbitrary precision. It does not require that something can actually compute its value, i.e. that this algorithm terminates.
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