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You can't pick a random real number between 0 and 1. Heck, almost all reals between 0 and 1 can't ever be constructed let alone picked. The here is the non-con
by rocqua 9y ago
You can't pick a random real number between 0 and 1.
Heck, almost all reals between 0 and 1 can't ever be constructed let alone picked.
The here is the non-constructive nature of the real numbers. That is not to say the reals are useless, but they are not much more than a formalism. It's rather useful though because it's hard to get numbers like pi or e. Its really nice that any real interval is compact, but that too is hard to replicate.
- bjl 9y agoYou can certainly pick a random real number from the unit interval.
- waqf 9y agoReally? Go on, then, pick one and tell us what it is (or at least tell us what your procedure was).
- Houshalter 9y agoOne example in a finite space and time setting would be selecting a random point on the ground. Say by dropping a ball there or something. The exact coordinates it lands is a random real number. But the probability that it landed on those exact coordinates is exactly 0, hence a paradox.
- deleted 9y ago[deleted]