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

On 06.10.2024 15:59, Alan Mackenzie wrote:
 > WM <wolfgang.mueckenheim@tha.de> wrote:
 >> All unit fractions are separate points on
 >> the positive real axis, but there are infinitely many for every x > 0.
 >> That can only hold for definable x, not for all.
 >
 > Poppycock!  You'll have to do better than that to provide such a
 > contradiction.
It is good enough, but you can't understand.
 >  Hint: Skilled mathematicians have worked on trying to
 > prove the inconsistency of maths, without success.
What shall that prove? Try to understand.
 >> You cannot judge because you don't know that topic ....
 >
 > I am a graduate in maths ....
Here is not discussed what you have studied. Remember, not even infinity has been taught. Therefore you cannot judge.
 >
 >> .... and as fellow traveler can only parrot the words of matheologians
 >> who are either too stupid to recognize or too dishonest to confess the
 >> truth.
 >
 > .... and able to understand and follow mathematical argument,
Try only to understand my argument. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0. How can infinitely many unit fractions appear before every x > 0?
 >>> If these terms had any significance, they would still be taught in
 >>> mathematics degree courses.
 >
 >> No, the teachers of such courses are too stupid or too dishonest.
 >
 > Who do you think you are to accuse others of being stupid or dishonest?
I know that I have understood that topic better than the stupids.
 >
 >>> Otherwise, bright students would become aware of them and catch out
 >>> their teachers in inconsistencies.
 >
 >> They do. But every publishing is intercepted by the leading liars.
 >
 > <Sigh> When I was an undergraduate, students published lots of
 > magazines, some of them about maths.  I'm sure they still do, though they
 > are likely to be online these days.  The "deceit" you think happens would
 > be exposed in these magazines, and thus become known,
You cannot believe that I am right, therefore you don't wish that I am right, and you try to dismiss my argument.
Regards, WM