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Even “e” and “pi” would have been noncomputable at one point in time. But the noncomputable numbers make me wonder if our notion of mathematics is too general/
by BobbyTables2 2y ago
Even “e” and “pi” would have been noncomputable at one point in time.
But the noncomputable numbers make me wonder if our notion of mathematics is too general/powerful.
- Aerroon 2y agoI think in this case it's Reals that are too general. What is the virtue of these uncomputable numbers? If we can't compute/express them then what can we do with them?
- Dylan16807 2y agoWas pi ever really uncomputable? You can draw a really big circle and measure it in multiple ways. And when e was defined as a symbol, it was with a computation, (1 + 1/n)^n
- throwaway81523 2y agoWe call a real number computable if there is an algorithm that can compute it to arbitrarily high precision. So e and pi have always been computable.