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

On 10/16/24 4:50 AM, WM wrote:

On 16.10.2024 10:27, WM wrote:

On 15.10.2024 02:00, Jim Burns wrote:
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So, what is that perfectly reasonable explanation?

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There is a general rule not open to further discussion:
When doubling natural numbers we obtain natural numbers which have not been doubled.

 CORRECTION: When doubling natural numbers we obtain even numbers which have not been doubled.

But that isn't actually a general rule, so you are just admitting that you aren't talking about the same Natural Numbers that everyone else is talking about, but some bastadization that is just fininte.
NO natural number when doubled results in a value that wasn't a natural number all the time.
Your problem is that your "Acutal Infinity" isn't actually Infinity, and like isn't actually "actually".

 

In potential infinity we obtain more even natural numbers than have been doubled.
In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
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Regards, WM