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Real numbers almost certainly are just as fictional as complex numbers. Physics doesn't seem to admit infinitely precise measurements, so literally no theoretic
by roywiggins 9y ago
Real numbers almost certainly are just as fictional as complex numbers. Physics doesn't seem to admit infinitely precise measurements, so literally no theoretical device can operate with real numbers.
Even if real numbers are "real", only a countable number of them are computable, even in theory. The rest are probably completely inaccessible, barring hypercomputation. (Interestingly, access to true real numbers gives you hypercomputation as a side-effect)