- #36
PeterDonis
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Paul Colby said:The number of states in a Hilbert space are countable
No, they aren't. Where are you getting that from?
Paul Colby said:I think it's called separability?
Separability means the space has a countable, dense subset. It does not mean the space itself is countable.
For example, the real numbers are separable because they have a countable, dense subset (the rational numbers). But the real numbers are not countable.