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Is two to the power of infinity more than infinity? (2014)
- dozzie 10y agoThe article can be summed up as "yes, it's more". The article cites continuum hypothesis (or rather, links a Wikipedia article for formula), but that one is not about whether it's greater or not, as the hypothesis assumes that there is inequality. All in all, the article doesn't even mention how to prove this inequality. Also, > So, is it true that that 2^∞ > ∞? The answer depends on which notion of infinity we use. The infinity of limits has no size concept, and the formula would be false. Not really. The "infinity of limits" is not an object you can compare to, it's just a notion that the sequence behaves in certain way. On this ground the formula "2^∞ > ∞" is ill-formed.