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

On 9/16/2024 2:38 PM, Jim Burns wrote:

On 9/16/2024 4:15 PM, Chris M. Thomasson wrote:

On 9/16/2024 10:30 AM, Jim Burns wrote:

On 9/15/2024 3:47 PM, WM wrote:

On 14.09.2024 20:35, joes wrote:

Am Sat, 14 Sep 2024 16:01:02 +0200 schrieb WM:

 

Two points are next to each other
means that
no point is between them.

>
Which is the case for no two (different) reals.

>
For no two different visible numbers,
to be precise.

>
⎛ WM: Two points are next to each other
⎜ means that
⎝ no point is between them.

 

WM is a strange one.
If no point is between them,
then they are the same.

 If no point is between different points,
then the points aren't in the complete line.
 But perhaps they are points in something else,
perhaps in a line of integers.
Points can be next to each other in the integers,
as successors and predecessors.

Sure, but that it "restricting" our line of thinking to the integers. In that strict realm. -1, 0 and 1 are all next to each other. There is no .5 or anything like that in this strict line of thinking. Fair enough?
Just like -1 does not exist in the unsigned integers... ;^)

 Going over boring details, such as
what it is to be next to each other,
is a tactic for countering Radical! New! claims
which, upon a more careful look, turn out to not.be
about what is broadly meant by complete line, etc.
 Here, we see a rare example of WM using words
in the usual way: "no point between".
But he describes something not the complete line,
something with points next to each other.