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

On 07.11.2024 03:27, Richard Damon wrote:

On 11/6/24 10:15 AM, WM wrote:

On 06.11.2024 12:46, Richard Damon wrote:

On 11/5/24 11:45 AM, WM wrote:

On 05.11.2024 04:08, Richard Damon wrote:

On 11/4/24 12:11 PM, WM wrote:

On 04.11.2024 13:14, Richard Damon wrote:

On 11/4/24 6:07 AM, WM wrote:

>

By induction you can prove the sum n(n+1)/2 for every initial
segment 1+2+3+...+n. But not for all natural numbers.

But all Natural Numbers can be defined.

All defined numbers can be summed. Not all natural numbers can be
summed.

Why not?

because most cannot be defined.

But they ARE defined.

Then sum all of them.

They will sum to Aleph_0

That is not a sum. It is just another name for infinity.