Re: How many different unit fractions are lessorequal than all unit fractions?

On 10/5/24 3:04 PM, WM wrote:

On 05.10.2024 15:32, Richard Damon wrote:

On 10/5/24 8:18 AM, WM wrote:

On 05.10.2024 13:12, Richard Damon wrote:
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But actual infinity doesn't exist.
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How can bijections between infinite sets exist then.

 

Because the sets exist as what you think of as "potential" infinity,

 "the integers separately as well as in their actually infinite totality exist as eternal ideas in intellectu Divino in the highest degree of reality." [G. Cantor, letter to C. Hermite (30 Nov 1895)]

but that isn't what your "actual infinity" is, that is just protential infinity.

 

we just don't need to generate the full set before we use them (since that is the impossible step).

 Is it impossible for the intellectu Divino too? Then Cantor has erred and you have discovered his error.
 Regards, WM

We don't know what is possible for the infinite divine to fully experiece, so the question has no answer for us.