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

On 10/5/2024 6:32 AM, 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.
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Regards, WM
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 Because the sets exist as what you think of as "potential" infinity, which are actaully existing sets, we just don't need to generate the full set before we use them (since that is the impossible step).
 Infinte bijections take an infinite number of steps to complete directly, but can be seen correct by induction.

Cantor pairing means that any pair of natural numbers can be mapped into a unique index and vise versa. I actually had some fun with them:
https://youtu.be/XkwgJt5bxKI

 Your problem is a failed understanding of what it means to "exist"