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.
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I'm not sure about the 'as a result'. Can you elaborate on this deduction?
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Causality is an aspect of describing the progression of the state vector of the universe by separate systems that each have their own transition function and an interface to other systems, though which they cause changes. No system can actually compute an irrational value.
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Right, but causality does not necessarily have to be 'computed' in order to be in effect. I'm not sure but your statement seems to be based on the hypothesis of a 'computable' reality (also computability might have different meanings if only for quantum/classical differences).
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QM can be understood as an approximating formalism, in which case it is inefficiently computable, or as an ontological model, in which case particle mechanics are inefficiently implemented on a computational substrate.
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