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

On 9/25/24 11:26 AM, WM wrote:

On 25.09.2024 13:54, Richard Damon wrote:

On 9/24/24 3:38 PM, WM wrote:

On 24.09.2024 10:00, joes wrote:

Am Sun, 22 Sep 2024 15:28:38 +0200 schrieb WM:

>

Really existing sets of real unit fractions have two ends.

What is „an end”?

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An end is where nothing follows.

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And thus the lower end of the numbers x > 0 would be 0, a value not in the set, as the set doesn't have a lower end in it.

 If it is a set (actual infinity), then the set has a smallest member. But that is hard to understand.

But it doesn't, because you concept of "actual infinity" isn't actually infinite, but an illogical contradiction cause by the explosion of your logic system when used outside its valid operating conditions.

>
That is why there is no smallest positive real or unit fraction.

 It is easier to understand with unit fractions. But most mathematicians are too stupid even for this obvious fact.

But even for unit fractions, 1/(n+1) is still a smaller unit fraction than 1/n.
Your logic just tries to make the INFINITE set of Natural Numbers finite because it cant handle the infinite.
If there was an n that was the smallest unit fraction, then NUF(1) would be n, not infinity, and you just prove that you logic can't handle the actual infinite set of Natural Numbers.

 Regards, WM