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You may find it interesting to learn that one cannot generally determine whether two real numbers are equal or not: equality on real numbers is undecidable.
by mietek 5y ago
You may find it interesting to learn that one cannot generally determine whether two real numbers are equal or not: equality on real numbers is undecidable.
- lmm 5y agoI'm well aware. It's also the case that there is no good notation for the real numbers; in particular since any given notation system can only represent countably many distinct entities, almost all real numbers will be are unrepresentable in that notation system. Therefore the notion that the full set of reals actually exists is extremely dubious.