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

On 10/7/24 4:53 AM, WM wrote:

On 06.10.2024 19:05, Richard Damon wrote:

On 10/6/24 7:45 AM, WM wrote:

On 06.10.2024 04:51, Richard Damon wrote:

On 10/5/24 2:58 PM, WM wrote:

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So why does that say it has a point next to it?

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A point between both could be chosen unless it was dark.
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And that point CAN be found, Given two point x and y,

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They are not given, but dark. Discrete points on the positive axis have a minimum.
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Then you are just proving yourself to be a liar, as you said you could choose them.

 I said: a point between both could be chosen unless it was dark!

But there is a non-dark point between them, so they are not "next to" each other.

 

The actual points are not "dark" but defined.

 All unit fractios are such points. Each one is a singleton adhering to the rules of geometry. Therefore each one including the smallest oe could be found unless it was dark.
 

Nope, the problem is you "rule of geometry" that there must be a smallest (that isn't 0) doesn't actually exist.
Note, "Geometry" says nothing about "adjacent points", In fact, one property of Geometry is that ANY straight line segement can be divided into two smaller and equal lines. Since we can draw such a line between ANY two points, there can not be two points "next to" each other with no points between them.
Geometry is based on a generative concept of infinity, like your potential infinity, not your non-existent "actual infinity" which turns out to not be actually infinite if you can use it, as we can't get to the end of the infinite generative phase needed to make it.

Regards, WM