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Is two to the power of infinity more than infinity? (2014)

1 pointsby FrankyHollywoodover 8 years ago

1 comment

dozzieover 8 years ago
The article can be summed up as &quot;yes, it&#x27;s more&quot;.<p>The article cites continuum hypothesis (or rather, links a Wikipedia article for formula), but that one <i>is not about whether it&#x27;s greater or not</i>, as the hypothesis assumes that there is inequality.<p>All in all, the article doesn&#x27;t even mention how to prove this inequality.<p>Also,<p>&gt; So, is it true that that 2^∞ &gt; ∞? The answer depends on which notion of infinity we use. The infinity of limits has no size concept, and the formula would be false.<p>Not really. The &quot;infinity of limits&quot; is not an object you can compare to, it&#x27;s just a notion that the sequence behaves in certain way. On this ground the formula &quot;2^∞ &gt; ∞&quot; is ill-formed.