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> This is completely uncontroversial I think it is still intuitively surprising that some infinite sets somehow have more elements than other infinite sets. T
by _rpd 10y ago
> This is completely uncontroversial
I think it is still intuitively surprising that some infinite sets somehow have more elements than other infinite sets. The powerset operator is very special because it can create this difference.
- Smaug123 10y agoI suppose I really meant "why should one expect that f might be injective anyway?" Once you're no longer in the context of a set like N which is very familiar, there's just no obvious reason for the theorem to be false.