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> Cardinality is purely a functional property. Is something like "granularity" an appropriate intuition? Both sets are of infinite size, but one has more poi
by akira2501 5y ago
> Cardinality is purely a functional property.
Is something like "granularity" an appropriate intuition? Both sets are of infinite size, but one has more points with which to take measurements against than the other. It isn't "bigger" so much as it is "finer?"
- jobigoud 5y agoBut this breaks when you compare say, the set of integers vs the set of prime numbers or the set of powers of 2. The intuition say naturals are more granular and the others more sparse, but they are infinites of the same size...