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

On 9/27/24 2:42 PM, WM wrote:

On 25.09.2024 18:39, joes wrote:

Am Wed, 25 Sep 2024 17:51:56 +0200 schrieb WM:

 

NUF(x) distinguishes all points.

How does it distinguish dark points?

 By our mathematical knowledge about ∀n ∈ ℕ: 1/n - 1/(n+1) > 0

Which means for any 1/n, there exist a 1/(n+1) that is smaller than it, and thus there is no smallest 1/n.

 

NUF increases. At no point it can increase by more than 1.

Right, and there is no point "next to" 0

 There is a unit fraction next to 0.

Nope. "Next To" isn't a property of that set.

 

Even if most mathematicians are far too stupid to understand this, I
will repeat it on and on, maybe that sometime some will get it.

You should try explaining it a different way.

 ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
is invincible.

Right, and thus, for *ANY* 1/n, there exist a 1/(n+1) that will be smaller than it.
PERIOD.
Since, one property of ℕ is that ∀n ∈ ℕ, the value n+1 exists, and
(n+1) ∈ ℕ
You ignore this FACT because it proves your wrong, showing that you are nothing but a STUPID LIAR.

 Regards, WM