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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 5 Oct 2024 22:57:36 -0400
Organization: i2pn2 (i2pn.org)
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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:
>>>
>>>>
>>>> But actual infinity doesn't exist.
>>>>
>>> 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.