Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
> WM <askas...@gmail.com> writes:

> If it's not (as it would seem) an external examiner, then who? The dean
> of the faculty?

That was me some years ago.

> But how could the dean of the faculty of general
> studies know if ⋂E(k) ≠ {} is a flat-out lie? Would he or she even know
> what the symbols mean?

Of course. Further this is not a lie. It is correct.

Only all definable endsegments have an infinite intersection.
|∩{E(k) : k ∈ ℕ_def = ℵ₀ .
∀k ∈ ℕ_def: ∩{E(1), E(2), ..., E(k)} = E(k) /\ |E(k)| = ℵ₀ . (*)
You cannot find an exception.
∩{E(k) : k ∈ ℕ} = { } .

Every endsegment that you can define belongs to a finite initial segment. If you cut the sequence at any point you can
E(1), E(2), E(3), ..., E(k)|, E(k+1), E(K+2), ...
then you will get
|∩{E(1), E(2), ..., E(k)}|= ℵ₀
and
|∩{E(k+1), E(K+2), ...}| = 0
>
> What would be the right term in the US for a German Hochschule?

University of Applied Science. Augsburg will become a Technische Hochschule.. This term should be well-known also in US (ETH Zürich, RWTH Aachen, also Dedekind was in Brauschweig at a TH).
>
> Do you really think a student of yours could cover, as an external
> examiner, the mathematics syllabus at Cambridge?

No, but in some point he could correct the mistakes of set theory.
>
> I wonder if you will answer any of these?

Here you are.

> >> > "'Mathematical logic' has completely deformed the thinking of
> >> > mathematicians and of philosophers," [L. Wittgenstein: "Remarks on the
> >> > foundations of mathematics", Wiley-Blackwell (1991)]
> >> Yes, his opinions carried some weight at the time.
> >
> > They do even more today.
> No, he is largely ignored as a writer on mathematical foundations.

Only by the matheologians who try to shield their students from his opinions.

> > Look: Between every unit fraction 1/n and zero there are ℵo unit
> > fractions, i.e. more than between 1/n and 1. This does never
> > change. But the set of all unit fractions has no unit fraction between
> > itself and zero. This is a difference.
> Of course there is a difference. Fractions and sets of fractions have
> different properties.

Nonsense. The points are there, fixed on the real axis. In order to prove that the set has no difference to zero you can only use its points. But they fail. That means IF there is no distance to zero, THEN there are dark points which cannot be individually checked in the set.

> > Collect all
> > unit fractions which have ℵo unit fractions between themselves and
> > zero.
> That's all of them, without exception. No unit faction fails that
> test. And surely in WMaths, there are no unit factions with only a
> finite number of fractions between themselves are zero?

IF the set has no distance from zero, THEN not all its points can have an infinite distance from zero. Is that really too hard to understand?

> Something in Germany has prevented
> you from either publishing this significant fact in a journal that
> mathematicians actually read,

The privately lead journals have a censorship by matheologians who are too stupid or too dishonest to accept what I just wrote you.

Regards, WM

On 1/22/2023 5:26 AM, WM wrote:
> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>> WM <askas...@gmail.com> writes:
>
>> If it's not (as it would seem) an external examiner, then who? The dean
>> of the faculty?
>
> That was me some years ago.QUACK!!

so there is no one.

>
>> But how could the dean of the faculty of general
>> studies know if ⋂E(k) ≠ {} is a flat-out lie? Would he or she even know
>> what the symbols mean?
>
> Of course. Further this is not a lie. It is correct.

you have changed your mind again ?

>
> Only all definable endsegments have an infinite intersection.
> |∩{E(k) : k ∈ ℕ QUACK!!_def = ℵ₀ .
> ∀k ∈ ℕ_QUACK!!def: ∩{E(1), E(2), ..., E(k)} = E(k) /\ |E(k)| = ℵ₀ . (*)
> You cannot find an exception.
> ∩{E(k) : k ∈ ℕ} = { } .
>
> Every endsegment that you can define belongs to a finite initial segment. If you cut the sequence at any point you can
> E(1), E(2), E(3), ..., E(k)|, E(k+1), E(K+2), ...
> then you will get
> |∩{E(1), E(2), ..., E(k)}|= ℵ₀
> and
> |∩{E(k+1), E(K+2), ...}| = 0

so now you have changed your mind to correct math, why now ?

>>
>> What would be the right term in the US for a German Hochschule?
>
> University of Applied Science. Augsburg will become a Technische Hochschule. This term should be well-known also in US (ETH Zürich, RWTH Aachen, also Dedekind was in Brauschweig at a TH).
>>
>> Do you really think a student of yours could cover, as an external
>> examiner, the mathematics syllabus at Cambridge?
>
> No, but in some point he could correct the mistakes of set theory.
>>
>> I wonder if you will answer any of these?
>
> Here you are.
>
>>>>> "'Mathematical logic' has completely deformed the thinking of
>>>>> mathematicians and of philosophers," [L. Wittgenstein: "Remarks on the
>>>>> foundations of mathematics", Wiley-Blackwell (1991)]
>>>> Yes, his opinions carried some weight at the time.
>>>
>>> They do even more today.
>> No, he is largely ignored as a writer on mathematical foundations.
>
> Only by the matheologians who try to shield their students from his opinions.

there is no "shielding"

Shielding Ants!

>
>>> Look: Between every unit fraction 1/n and zero there are ℵo unit
>>> fractions, i.e. more than between 1/n and 1. This does never
>>> change. But the set of all unit fractions has no unit fraction between
>>> itself and zero. This is a difference.
>> Of course there is a difference. Fractions and sets of fractions have
>> different properties.
>
> Nonsense. The points are there, fixed on the real axis. In order to prove that the set has no difference to zero you can only use its pointsQUACK!!. But they fail. That means IF there is no distance to zero, THEN there are dark QUACK!!points which cannot be individually QUACK!!checked in the set.

[WM affirms he still cannot tell the difference between sets and elements]

>
>>> Collect all
>>> unit fractions which have ℵo unit fractions between themselves and
>>> zero.
>> That's all of them, without exception. No unit faction fails that
>> test. And surely in WMaths, there are no unit factions with only a
>> finite number of fractions between themselves are zero?
>
> IF the set has no distance from zero, THEN not all its points can have an infinite distance from zero.QUACK!! Is that really too hard to understand?QUACK!!

wrong thinking.
[WM affirms he still cannot tell the difference between sets and elements]

>
>> Something in Germany has prevented
>> you from either publishing this significant fact in a journal that
>> mathematicians actually read,
>
> The privately lead journals have a censorshipQUACK!! by matheologians who are too stupid or too dishonest to accept what I QUACK!!just wrote you.

no, you fear your math will be rejected by peer reviewing mathematicians and with good cause.

>
> Regards, WM

On Sunday, January 22, 2023 at 12:26:19 PM UTC+1, WM wrote:
> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
> > WM <askas...@gmail.com> writes:
>
> > If it's not (as it would seem) an external examiner, then who? The dean
> > of the faculty?
> That was me some years ago.
> > But how could the dean of the faculty of general
> > studies know if ⋂E(k) ≠ {} is a flat-out lie? Would he or she even know
> > what the symbols mean?
> Of course. Further this is not a lie. It is correct.
>
> Only all definable endsegments have an infinite intersection.
> |∩{E(k) : k ∈ ℕ_def = ℵ₀ .
> ∀k ∈ ℕ_def: ∩{E(1), E(2), ..., E(k)} = E(k) /\ |E(k)| = ℵ₀ . (*)
> You cannot find an exception.
> ∩{E(k) : k ∈ ℕ} = { } .
>
> Every endsegment that you can define belongs to a finite initial segment. If you cut the sequence at any point you can
> E(1), E(2), E(3), ..., E(k)|, E(k+1), E(K+2), ...
> then you will get
> |∩{E(1), E(2), ..., E(k)}|= ℵ₀
> and
> |∩{E(k+1), E(K+2), ...}| = 0
> >
> > What would be the right term in the US for a German Hochschule?
> University of Applied Science. Augsburg will become a Technische Hochschule. This term should be well-known also in US (ETH Zürich, RWTH Aachen, also Dedekind was in Brauschweig at a TH).

OK, Mücke. Let's compare. Here is a list of winners of the Nobel Prize from the ETH in Zürich:

Nobelpreis für Physik
1901: Wilhelm Conrad Röntgen (1845–1923), Absolvent
1920: Charles Édouard Guillaume (1861–1938), Absolvent
1921: Albert Einstein (1879–1955), Absolvent und Professor
1943: Otto Stern (1888–1969), Dozent
1945: Wolfgang Pauli (1900–1958), Professor
1952: Felix Bloch (1905–1983), Absolvent
1986: Heinrich Rohrer (1933–2013), Absolvent
1987: Georg Bednorz (* 1950), Absolvent
1987: Karl Alexander Müller (1927–2023), Absolvent
Nobelpreis für Chemie
1913: Alfred Werner (1866–1919), Absolvent und Dozent
1915: Richard Willstätter (1872–1942), Professor
1918: Fritz Haber (1868–1934), Assistent
1936: Peter Debye (1884–1966), Professor
1938: Richard Kuhn (1900–1967), Professor
1939: Lavoslav Růžička (1887–1976), Professor
1953: Hermann Staudinger (1881–1965), Professor
1975: Vladimir Prelog (1906–1998), Professor
1991: Richard R. Ernst (1933–2021), Professor
2002: Kurt Wüthrich (* 1938), Professor
Nobelpreis für Medizin
1950: Tadeus Reichstein (1897–1996), Professor
1978: Werner Arber (* 1929), Absolvent

Who is the most famous person associated with the FH Augsburg?
The famous Usenet Quack Mücke Mückenheim?

WM <askasker48@gmail.com> writes:
(AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
Unendlichen" at Hochschule Augsburg.)

> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:

>> What would be the right term in the US for a German Hochschule?
>
> University of Applied Science.

Is that a known term in the US? I've never heard of it before. Would
someone know, for example, that such an institution does not award
doctorates?

>> Do you really think a student of yours could cover, as an external
>> examiner, the mathematics syllabus at Cambridge?
>
> No, but in some point he could correct the mistakes of set theory.

Quite a retraction from this absurd claim: "My students would be better
examiniers than all you may have in England".

>> I wonder if you will answer any of these?
>
> Here you are.

I asked nine questions. You commented on four but only two were actual
answers. Basically you are avoiding saying what I must assume is the
case: that not one checks the technical content of courses at your
institution and that you could teach pretty much anything you like with
no come back.

I also asked if the other higher education institutions -- the ones that
have a full range of degree programs and award PhDs -- are any different
but maybe you just don't know how they work.

--
Ben.

WM <askasker48@gmail.com> writes:
(AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
Unendlichen" at Hochschule Augsburg.)

> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:04:08 UTC+1:
>> WM <askas...@gmail.com> writes:

>> > How obvious a contradiction has to result from an axiom in order to
>> > reject it?
>>
>> There has to actually /be/ a contradiction, not just something you think
>> is odd.
>
> "A well-ordering (infact, most of them are) can be incomprehensible to
> us and impossible to adequately show is one if given to us. We just
> know one always exists." [Zelos Malum in "Three facts that appear
> incompatible without dark numbers", sci.math (15 Jan 2020)]

There has to be a contradiction, not a remark in some corner of the
Internet.

> Further Zermelo's proof is wrong.

I look forward to congratulating you on the appearance of this important
paper.

--
Ben.

WM <askasker48@gmail.com> writes:
(AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
Unendlichen" at Hochschule Augsburg.)

> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>> WM <askas...@gmail.com> writes:

>> > Collect all unit fractions which have ℵo unit fractions between
>> > themselves and zero.
>>
>> That's all of them, without exception. No unit faction fails that
>> test. And surely in WMaths, there are no unit factions with only a
>> finite number of fractions between themselves are zero?
>
> IF the set has no distance from zero, THEN not all its points can have
> an infinite distance from zero. Is that really too hard to understand?

Not hard, impossible, because you don't say what you mean, probably
deliberately. What does no distance between a set and a number mean?
You should probably give two answers because, presumably, in WMaths that
first "IF" should come out differently.

The term "distance" is playing a magical role here. Not only can it
apply to sets, none of the elements in the set have an infinite distance
from zero in any conventional sense of the term. The largest
conventional distance is 1.

(For reference, the set is { 1/n } for n in ℕ⁺.)

--
Ben.

On 1/22/2023 6:27 PM, Ben Bacarisse wrote:
> WM <askasker48@gmail.com> writes:
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
> Unendlichen" at Hochschule Augsburg.)
>
>> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>>> WM <askas...@gmail.com> writes:
>
>>>> Collect all unit fractions which have ℵo unit fractions between
>>>> themselves and zero.
>>>
>>> That's all of them, without exception. No unit faction fails that
>>> test. And surely in WMaths, there are no unit factions with only a
>>> finite number of fractions between themselves are zero?
>>
>> IF the set has no distance from zero, THEN not all its points can have
>> an infinite distance from zero. Is that really too hard to understand?
>
> Not hard, impossible, because you don't say what you mean, probably
> deliberately. What does no distance between a set and a number mean?
> You should probably give two answers because, presumably, in WMaths that
> first "IF" should come out differently.
>
> The term "distance" is playing a magical role here. Not only can it
> apply to sets, none of the elements in the set have an infinite distance
> from zero in any conventional sense of the term. The largest
> conventional distance is 1.
>
> (For reference, the set is { 1/n } for n in ℕ⁺.)
>

I am not sure what WM is trying to say as well. Perhaps something like
the absolute distance between n and n +- 1 is one?

-2, -1, 0, 1, 2, ...

abs(-1 - -2) = 1
abs(0 - -1) = 1
abs(1 - 0) = 1
abs(1 - 2) = 1

abs(-2 - -1) = 1
abs(-1 - 0) = 1
abs(0 - 1) = 1
abs(2 - 1) = 1
....

Therefore:

abs(2 - -2) = 4
abs(-2 - 2) = 4

?

fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
> On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
> > torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
> > > On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
> > > > onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
> > > > > On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
> > > > > > tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
> > > > > > > Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
> > > > > > >
> > > > > > > > Ordering is not about names.
> > > > > > > No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
> > > > > Ordering is very much about NAMES because:
> > > > They are all named bob, we can order them now. Happy?
> > > > >
> > > > > A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
> > > > That is your asinine idea, nothing else.
> > > Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
> > > > >
> > > > > The *names* are how we identify the *measures*.
> > > > I don't think bob tells us much of anything.
> > > > >
> > > > > https://youtube.com/shorts/HxKwQhcXk8w
> > > > > > >
> > > > > > > Regards, WM
> > > > > > Why? Are you really this dumb?
>
> > Yes, it is nothing but your idiotic idea and nothing else.
> Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.

Mathematics predates the greeks.

> > It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
> Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.

Sorry but the retard is you. Oncey ou are dead there is a retard less

Ben Bacarisse <ben.usenet@bsb.me.uk> writes:
> WM <askasker48@gmail.com> writes:
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
> Unendlichen" at Hochschule Augsburg.)
>
>> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>
>>> What would be the right term in the US for a German Hochschule?
>>
>> University of Applied Science.
>
> Is that a known term in the US? I've never heard of it before. Would
> someone know, for example, that such an institution does not award
> doctorates?

There are several alternative terms that overlap in the anglosphere:
vocational college, polytechnic, technical college, institute of higher
education. The common trait for all of thsese is that they're avoiding
the word "university", which is what makes UAS stick out as an outlier.

Phil
--
We are no longer hunters and nomads. No longer awed and frightened, as we have
gained some understanding of the world in which we live. As such, we can cast
aside childish remnants from the dawn of our civilization.
-- NotSanguine on SoylentNews, after Eugen Weber in /The Western Tradition/

On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
> fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
> > On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
> > > torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
> > > > On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
> > > > > onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
> > > > > > On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
> > > > > > > tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
> > > > > > > > Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
> > > > > > > >
> > > > > > > > > Ordering is not about names.
> > > > > > > > No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
> > > > > > Ordering is very much about NAMES because:
> > > > > They are all named bob, we can order them now. Happy?
> > > > > >
> > > > > > A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
> > > > > That is your asinine idea, nothing else.
> > > > Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
> > > > > >
> > > > > > The *names* are how we identify the *measures*.
> > > > > I don't think bob tells us much of anything.
> > > > > >
> > > > > > https://youtube.com/shorts/HxKwQhcXk8w
> > > > > > > >
> > > > > > > > Regards, WM
> > > > > > > Why? Are you really this dumb?
> >
> > > Yes, it is nothing but your idiotic idea and nothing else.
> > Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
>
>
> Mathematics predates the greeks.

Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.

Remember the following link?

https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic

You were routed so badly, your empty head is still spinning.

>
> > > It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
> > Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
>
> Sorry but the retard is you. Oncey ou are dead there is a retard less

Like I said, you will die before me and I will laugh. LMAO

On Monday, January 23, 2023 at 3:06:47 AM UTC+1, Ben Bacarisse wrote:
> WM <askas...@gmail.com> writes:
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
> Unendlichen" at Hochschule Augsburg.)
> > Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>
> >> What would be the right term in the US for a German Hochschule?
> >
> > University of Applied Science.
> Is that a known term in the US? I've never heard of it before. Would
> someone know, for example, that such an institution does not award
> doctorates?
> >> Do you really think a student of yours could cover, as an external
> >> examiner, the mathematics syllabus at Cambridge?
> >
> > No, but in some point he could correct the mistakes of set theory.
> Quite a retraction from this absurd claim: "My students would be better
> examiniers than all you may have in England".
> >> I wonder if you will answer any of these?
> >
> > Here you are.
> I asked nine questions. You commented on four but only two were actual
> answers. Basically you are avoiding saying what I must assume is the
> case: that not one checks the technical content of courses at your
> institution and that you could teach pretty much anything you like with
> no come back.
>
> I also asked if the other higher education institutions -- the ones that
> have a full range of degree programs and award PhDs -- are any different
> but maybe you just don't know how they work.
>
> --
> Ben.

Some years ago I wrote a letter to the Minister of Education in Bavaria,
the department responsible for schools like the Hochschule Augsburg and
for all the schools including the universities.

I asked how they can justify the situation with Mückenheim, whose
incompetence is self-evident.

I also asked what mechanisms the department has to insure the quality
of education. And I asked whether they had any responsibility for the
health of their employees, in cases where the latter cannot deal with their
own health issues, referring to Mückenheims obvious psychological problems.

This letter was forwarded to the President of the Hochschule Augsburg,
Professor Dr. (Dr. Dr. honoris causa mult.) Schurk, and Mückenheim was
made aware that there was (yet another) such complaint.

The reply was in essence this: Freedom to teach, whatever the teacher
chooses to teach, is a 'higher good' and the administrators do not have
the authority to interfere with a professors choices. The rest of the reply
was waffle. The point here is that these technical colleges were doing everything
they could in order look like real universities. The teachers are 'professors' and
the institution was renamed from 'Fachhochschule' to 'Hochschule' and recently
to 'Technische Hochschule'. At the same time the level of instruction is sinking
because the real universities have become much more accessible than used to be.

In essence the problem is this:
-- Once Mücke was hired as a civil servant he could not be fired; they are stuck with him
-- It is understandable how such an error can be made: The
man apparently has a PhD (in physics) from a real university (although Göttingen has never
recovered from the ethnic cleansing perpetrated by the Nazis, it is
still one of many competent provincial schools). The man worked in industry for
several years, which was (maybe still is) actually a prerequisite for teaching positions
at schools of this kind. The rationale for this requirement is sound: The students learn
practical engineering in a 3-year course; they do not learn math and physics and chemistry.
It is very surprising that somebody with this background cannot teach mathematics on
and below the level of first-semester Calculus.
-- If the department were to relieve Mückenheim of his duties they would have to actually
open a case for an additional slot for an additional 'professor', which is a significant
bureaucratic undertaking and entails admitting the error; and it means re-assigning Mückenheim
to some kind of paper-shuffling task that he can actually manage.

Incidentally the respondent, Prof. Dr. Dr. Dr. Schurk had a website propagating all
sorts of health quackery. His multiple Dr. honoris causa titles came from 'universities'
in the Ukraine and the Russian provinces, with whom the Hochschule Augsburg organized
'cooperative projects'. In other words, funds for academic cooperation were funneled
into a black whole and, in gratitude, titles were awarded. That's my guess.

Ben Bacarisse schrieb am Montag, 23. Januar 2023 um 03:27:36 UTC+1:
> WM <askas...@gmail.com> writes:

> >> > Collect all unit fractions which have ℵo unit fractions between
> >> > themselves and zero.
> >>
> >> That's all of them, without exception. No unit faction fails that
> >> test. And surely in WMaths, there are no unit factions with only a
> >> finite number of fractions between themselves are zero?
> >
> > IF the set has no distance from zero, THEN not all its points can have
> > an infinite distance from zero. Is that really too hard to understand?
> Not hard, impossible, because you don't say what you mean, probably
> deliberately. What does no distance between a set and a number mean?

It means that no unit fraction lies between the set and zero.
The set spans the interval (0, 1] even if all other points are removed.
There is noting betwee (0, 1] and 0.

> The term "distance" is playing a magical role here.

No, it is simply an abbreviation.
Definition: The distance of an object is X means there are X unit fractions between the object and zero.

Every unit fraction has distance ℵo. The set has distance 0. But this can only be checked by considering its elements because here the set is its elements. For every considered unit fractions is fails. Hence not all unit fractions can be considered.

Regards, WM

On Monday, January 23, 2023 at 3:06:47 AM UTC+1, Ben Bacarisse wrote:
> WM <askas...@gmail.com> writes:
> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
> Unendlichen" at Hochschule Augsburg.)
> > Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>
> >> What would be the right term in the US for a German Hochschule?
> >
> > University of Applied Science.
> Is that a known term in the US? I've never heard of it before. Would
> someone know, for example, that such an institution does not award
> doctorates?
> >> Do you really think a student of yours could cover, as an external
> >> examiner, the mathematics syllabus at Cambridge?
> >
> > No, but in some point he could correct the mistakes of set theory.
> Quite a retraction from this absurd claim: "My students would be better
> examiniers than all you may have in England".
> >> I wonder if you will answer any of these?
> >
> > Here you are.
> I asked nine questions. You commented on four but only two were actual
> answers. Basically you are avoiding saying what I must assume is the
> case: that not one checks the technical content of courses at your
> institution and that you could teach pretty much anything you like with
> no come back.
>
> I also asked if the other higher education institutions -- the ones that
> have a full range of degree programs and award PhDs -- are any different
> but maybe you just don't know how they work.
>
> --
> Ben.

Here is the letter - I wasn't able to find the reply. I probably trashed it at some point.
Google translate does a surprisingly good job - I have left it untouched, despite some
clumsiness.

Mr. Johann Zwirglmaier 27.9.2011
Bavarian Ministry of State
Science, research and art, Section C12
Salvatorstrasse 2
80333 Munich

Dear Mr. Zwirglmaier,
A Mr. Wolfgang Mückenheim is employed as a professor at the faculty for general sciences at the FH Augsburg. He is a math and physics teacher and apparently unable to carry out his duties.
Mr. Mückenheim deals with an esoteric form of mathematics, which he himself calls "MathRealism", dealing with objectively nonsensical and misunderstood elementary mathematical questions, especially from set theory. According to Google statistics, he has written 24,729 (in words: almost twenty-five thousand) posts in various Internet discussion forums over the past 7 years, all of them essentially on one and the same topic. In addition, one can find several formal essays by Mr. Mückenheim on the Internet, which prove his complete incompetence as a mathematician.
At the University of Applied Sciences in Augsburg, Mr. Mückenheim gives a lecture on “The History of the Infinite”. Here his nonsensical theses are presented and in exams it is required that the students repeat his false conclusions.
In this context, I would like you to answer the following questions:
1. How does your ministry monitor the quality of teaching at Bavarian universities?
2. When were Mr. Mückenheim's courses last assessed? Is there a written report on this?
3. What is the correct course of action for the responsible citizen when faced with obviously incompetent officials?
4. Mr. Mückenheim's behavior raises the suspicion that he suffers from a serious mental disorder. Isn't the employer obliged to take care of medical measures?
Kind regards,

måndag 23 januari 2023 kl. 10:26:13 UTC+1 skrev Eram semper recta:
> On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
> > fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
> > > On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
> > > > torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
> > > > > On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
> > > > > > onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
> > > > > > > On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
> > > > > > > > tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
> > > > > > > > > Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
> > > > > > > > >
> > > > > > > > > > Ordering is not about names.
> > > > > > > > > No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
> > > > > > > Ordering is very much about NAMES because:
> > > > > > They are all named bob, we can order them now. Happy?
> > > > > > >
> > > > > > > A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
> > > > > > That is your asinine idea, nothing else.
> > > > > Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
> > > > > > >
> > > > > > > The *names* are how we identify the *measures*.
> > > > > > I don't think bob tells us much of anything.
> > > > > > >
> > > > > > > https://youtube.com/shorts/HxKwQhcXk8w
> > > > > > > > >
> > > > > > > > > Regards, WM
> > > > > > > > Why? Are you really this dumb?
> > >
> > > > Yes, it is nothing but your idiotic idea and nothing else.
> > > Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
> >
> >
> > Mathematics predates the greeks.
> Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.

It still predates the greeks, no matter the quality.

>
> Remember the following link?
>
> https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic

Your shit?

>
> You were routed so badly, your empty head is still spinning.
'
Only in your dreams, not in reality.

> >
> > > > It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
> > > Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
> >
> > Sorry but the retard is you. Oncey ou are dead there is a retard less
> Like I said, you will die before me and I will laugh. LMAO

Given I am younger than you, the odds are not in your favour.

Phil Carmody <pc+usenet@asdf.org> writes:

> Ben Bacarisse <ben.usenet@bsb.me.uk> writes:
>> WM <askasker48@gmail.com> writes:
>> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
>> Unendlichen" at Hochschule Augsburg.)
>>
>>> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>>
>>>> What would be the right term in the US for a German Hochschule?
>>>
>>> University of Applied Science.
>>
>> Is that a known term in the US? I've never heard of it before. Would
>> someone know, for example, that such an institution does not award
>> doctorates?
>
> There are several alternative terms that overlap in the anglosphere:
> vocational college, polytechnic, technical college, institute of higher
> education. The common trait for all of thsese is that they're avoiding
> the word "university", which is what makes UAS stick out as an
> outlier.

It's not easy to get the correct cultural translation. But, almost
everywhere, institutions now want to have "university" in the name. I
can't blame them, but it seems a shame. Here in the UK, in many cases,
they turned their backs on over a century of excellence associated with
the old name.

In the US, a few institutions have transcended this issue. I doubt
anyone at Caltech or MIT care about the fact that the word university is
not in the name, but the PR benefit will more important if you don't
already have a stellar reputation.

--
Ben.

On 1/23/2023 5:32 AM, JVR wrote:
> On Monday, January 23, 2023 at 3:06:47 AM UTC+1, Ben Bacarisse wrote:
>> WM <askas...@gmail.com> writes:
>> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
>> Unendlichen" at Hochschule Augsburg.)
>>> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>>
>>>> What would be the right term in the US for a German Hochschule?
>>>
>>> University of Applied Science.
>> Is that a known term in the US? I've never heard of it before. Would
>> someone know, for example, that such an institution does not award
>> doctorates?
>>>> Do you really think a student of yours could cover, as an external
>>>> examiner, the mathematics syllabus at Cambridge?
>>>
>>> No, but in some point he could correct the mistakes of set theory.
>> Quite a retraction from this absurd claim: "My students would be better
>> examiniers than all you may have in England".
>>>> I wonder if you will answer any of these?
>>>
>>> Here you are.
>> I asked nine questions. You commented on four but only two were actual
>> answers. Basically you are avoiding saying what I must assume is the
>> case: that not one checks the technical content of courses at your
>> institution and that you could teach pretty much anything you like with
>> no come back.
>>
>> I also asked if the other higher education institutions -- the ones that
>> have a full range of degree programs and award PhDs -- are any different
>> but maybe you just don't know how they work.
>>
>> --
>> Ben.
>
> Some years ago I wrote a letter to the Minister of Education in Bavaria,
> the department responsible for schools like the Hochschule Augsburg and
> for all the schools including the universities.
>
> I asked how they can justify the situation with Mückenheim, whose
> incompetence is self-evident.
>
> I also asked what mechanisms the department has to insure the quality
> of education. And I asked whether they had any responsibility for the
> health of their employees, in cases where the latter cannot deal with their
> own health issues, referring to Mückenheims obvious psychological problems.
>
> This letter was forwarded to the President of the Hochschule Augsburg,
> Professor Dr. (Dr. Dr. honoris causa mult.) Schurk, and Mückenheim was
> made aware that there was (yet another) such complaint.
>
> The reply was in essence this: Freedom to teach, whatever the teacher
> chooses to teach, is a 'higher good' and the administrators do not have
> the authority to interfere with a professors choices. The rest of the reply
> was waffle. The point here is that these technical colleges were doing everything
> they could in order look like real universities. The teachers are 'professors' and
> the institution was renamed from 'Fachhochschule' to 'Hochschule' and recently
> to 'Technische Hochschule'. At the same time the level of instruction is sinking
> because the real universities have become much more accessible than used to be.
>
> In essence the problem is this:
> -- Once Mücke was hired as a civil servant he could not be fired; they are stuck with him
> -- It is understandable how such an error can be made: The
> man apparently has a PhD (in physics) from a real university (although Göttingen has never
> recovered from the ethnic cleansing perpetrated by the Nazis, it is
> still one of many competent provincial schools). The man worked in industry for
> several years, which was (maybe still is) actually a prerequisite for teaching positions
> at schools of this kind. The rationale for this requirement is sound: The students learn
> practical engineering in a 3-year course; they do not learn math and physics and chemistry.
> It is very surprising that somebody with this background cannot teach mathematics on
> and below the level of first-semester Calculus.
> -- If the department were to relieve Mückenheim of his duties they would have to actually
> open a case for an additional slot for an additional 'professor', which is a significant
> bureaucratic undertaking and entails admitting the error; and it means re-assigning Mückenheim
> to some kind of paper-shuffling task that he can actually manage.
>
> Incidentally the respondent, Prof. Dr. Dr. Dr. Schurk had a website propagating all
> sorts of health quackery. His multiple Dr. honoris causa titles came from 'universities'
> in the Ukraine and the Russian provinces, with whom the Hochschule Augsburg organized
> 'cooperative projects'. In other words, funds for academic cooperation were funneled
> into a black whole and, in gratitude, titles were awarded. That's my guess.

sounds right, WM does not know math at all. His students do not need to either.

this is key;
"The students learn practical engineering in a 3-year course; they do not learn math and physics and chemistry."

so it is not engineering school at all, but a technical school that generates technicians.

also on their website, they imply the courses are free, and may be aimed at new immegrents to Germany,

https://www.hs-augsburg.de/Binaries/Binary48053/Infoblatt-Wintersemester-2022-engl.pdf

I had an employee from Germany, a technician, who in Germany worked for the telephone companies, and filed relay contacts for years, with no upward
mobility in the German society(union job), so he immigrated to USA. He did quite well here.

"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:

> On 1/22/2023 6:27 PM, Ben Bacarisse wrote:
>> WM <askasker48@gmail.com> writes:
>> (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des
>> Unendlichen" at Hochschule Augsburg.)
>>
>>> Ben Bacarisse schrieb am Sonntag, 22. Januar 2023 um 03:58:30 UTC+1:
>>>> WM <askas...@gmail.com> writes:
>>
>>>>> Collect all unit fractions which have ℵo unit fractions between
>>>>> themselves and zero.
>>>>
>>>> That's all of them, without exception. No unit faction fails that
>>>> test. And surely in WMaths, there are no unit factions with only a
>>>> finite number of fractions between themselves are zero?
>>>
>>> IF the set has no distance from zero, THEN not all its points can have
>>> an infinite distance from zero. Is that really too hard to understand?
>> Not hard, impossible, because you don't say what you mean, probably
>> deliberately. What does no distance between a set and a number mean?
>> You should probably give two answers because, presumably, in WMaths that
>> first "IF" should come out differently.
>>
>> The term "distance" is playing a magical role here. Not only can it
>> apply to sets, none of the elements in the set have an infinite distance
>> from zero in any conventional sense of the term. The largest
>> conventional distance is 1.
>> (For reference, the set is { 1/n } for n in ℕ⁺.)
>
> I am not sure what WM is trying to say as well. Perhaps something like
> the absolute distance between n and n +- 1 is one?

No, it can't be that.

As usual it's a word game, the aim of which is to find words that make
infinite sets seem odd. Every 1/n has a vast infinity of fractions
between it and zero so each and every one is "very far from zero". Yet
there is "no distance" between the set {1/n} and 0 because, taken
together, "all" leave no gap with zero.

Given U = {1/n for n ∈ ℕ⁺}, had he just said that

∀n ∈ ℕ⁺: |{ f ∈ U with f < 1/n}| = ℵ₀

(there are infinitely many unit fraction less than any particular one)
and

~En ∈ ℕ⁺: ∀f ∈ U: f > 1/n

(there is no unit fraction less than all others) he would simply have
two facts that apply to his supposed WMaths as much as to what he calls
"set theory". Even those words won't do because

there are infinitely of unit fraction less than any particular one

and

there is no unit fraction less than all others

are not at all strange or adds with our expectation. For WM, words like
all and every are not aids to understanding by opportunities to obscure
and switch quantifiers.

--
Ben.

On Monday, January 23, 2023 at 4:44:05 PM UTC+1, Ben Bacarisse wrote:

> For WM, words like all and every are not aids to understanding

> by

but?

> opportunities to obscure and switch quantifiers.

Completely agree with you (if I got you right).

JVR <jrennenkampff@googlemail.com> writes:

> On Monday, January 23, 2023 at 3:06:47 AM UTC+1, Ben Bacarisse wrote:

>> I also asked if the other higher education institutions -- the ones that
>> have a full range of degree programs and award PhDs -- are any different
>> but maybe you just don't know how they work.
>
> Some years ago I wrote a letter to the Minister of Education in Bavaria,
> the department responsible for schools like the Hochschule Augsburg and
> for all the schools including the universities.
>
> I asked how they can justify the situation with Mückenheim, whose
> incompetence is self-evident.
>
> I also asked what mechanisms the department has to insure the quality
> of education. And I asked whether they had any responsibility for the
> health of their employees, in cases where the latter cannot deal with their
> own health issues, referring to Mückenheims obvious psychological problems.
>
> This letter was forwarded to the President of the Hochschule Augsburg,
> Professor Dr. (Dr. Dr. honoris causa mult.) Schurk, and Mückenheim was
> made aware that there was (yet another) such complaint.
>
> The reply was in essence this: Freedom to teach, whatever the teacher
> chooses to teach, is a 'higher good' and the administrators do not
> have the authority to interfere with a professors choices. The rest of
> the reply was waffle.

Interesting.

To be honest, I would hope that all ministers, in all countries and
states, would take a hands-off stance when faced with questions like
this, but this reply goes much further. Freedom to teach anything is
clearly not a "higher good", but I approve of the part about having no
authority to intervene.

In the UK, there was a body, independent of government, whose role was
to ensure that all universities have robust mechanism in place to ensure
the quality of their educational offerings. It would be naive to think
that this worked without problems. It's was a very bureaucratic
organisation and an audit consisted mostly of a lot of paperwork
intended to show that you had the right processes in place.

But one of these processes was the external examiner system. It was,
and I hope still is, invaluable. I was course director for one of our
degree programs and the help I got from various external examiners over
the years was immense. This is why people (like me) also volunteered to
do the job for other institutions as there was no pay. OK, we took the
external examiner to a couple of posh lunches and dinners (if they had
to stay over), but that's about it.

At a large department, the whole thing took two days. They reviewed
syllabuses, and coursework and examination papers both as set and the
work returned by students. They read a sample of all dissertations and
ever dissertation where the students was at a "class boundary"
(i.e. close to getting a 1st, upper or lower 2nd, or close to failing).
They could not change marks, but they could, and often did, comment on
things like courses with very high or very low pass rates. The
examination board (the official body on which they also sat) might then
make some adjustments. They also kept the course directors, like me, in
touch with what other comparable institutions were doing.

There is obviously nothing comparable at Hochschule Augsburg. If there
were, the external examiner's report would be worth a read!

> The point here is that these technical colleges
> were doing everything they could in order look like real
> universities. The teachers are 'professors' and the institution was
> renamed from 'Fachhochschule' to 'Hochschule' and recently to
> 'Technische Hochschule'. At the same time the level of instruction is
> sinking because the real universities have become much more accessible
> than used to be.
>
> In essence the problem is this:
> -- Once Mücke was hired as a civil servant he could not be fired; they
> are stuck with him

Once a lecturer ("professor" is a specific title in the UK) has tenure,
you can't get rid if them here either except for what used to be called
"gross moral terpitude"! But in some places (where I worked was one)
you did not get tenure right away but only after a few years. But
unlike in the US, it was not a "promotion" to get tenure, it was only
denied if you had failed to perform your duties satisfactorily.

A lot of this has changed, so I don't really know the details any more,
but I think the basics remain in place.

> -- It is understandable how such an error can be made: The man
> apparently has a PhD (in physics) from a real university (although
> Göttingen has never recovered from the ethnic cleansing perpetrated by
> the Nazis, it is still one of many competent provincial schools). The
> man worked in industry for several years, which was (maybe still is)
> actually a prerequisite for teaching positions at schools of this
> kind. The rationale for this requirement is sound: The students learn
> practical engineering in a 3-year course; they do not learn math and
> physics and chemistry. It is very surprising that somebody with this
> background cannot teach mathematics on and below the level of
> first-semester Calculus.
> -- If the department were to relieve Mückenheim of his duties they
> would have to actually open a case for an additional slot for an
> additional 'professor', which is a significant bureaucratic
> undertaking and entails admitting the error; and it means re-assigning
> Mückenheim to some kind of paper-shuffling task that he can actually
> manage.
>
> Incidentally the respondent, Prof. Dr. Dr. Dr. Schurk had a website
> propagating all sorts of health quackery.

Ah. That explains a lot. In the UK, it would be people like this who
would have to take responsibility for weeding out bad courses, but if
you are champion of alternative facts, who's to say what the
intersection of all end segments of N is!

> His multiple Dr. honoris causa titles came from 'universities' in the
> Ukraine and the Russian provinces, with whom the Hochschule Augsburg
> organized 'cooperative projects'. In other words, funds for academic
> cooperation were funneled into a black whole and, in gratitude, titles
> were awarded. That's my guess.

--
Ben.

On Monday, 23 January 2023 at 14:29:20 UTC+2, zelos...@gmail.com wrote:
> måndag 23 januari 2023 kl. 10:26:13 UTC+1 skrev Eram semper recta:
> > On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
> > > fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
> > > > On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
> > > > > torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
> > > > > > On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
> > > > > > > onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
> > > > > > > > On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
> > > > > > > > > tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
> > > > > > > > > > Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
> > > > > > > > > >
> > > > > > > > > > > Ordering is not about names.
> > > > > > > > > > No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
> > > > > > > > Ordering is very much about NAMES because:
> > > > > > > They are all named bob, we can order them now. Happy?
> > > > > > > >
> > > > > > > > A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
> > > > > > > That is your asinine idea, nothing else.
> > > > > > Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
> > > > > > > >
> > > > > > > > The *names* are how we identify the *measures*.
> > > > > > > I don't think bob tells us much of anything.
> > > > > > > >
> > > > > > > > https://youtube.com/shorts/HxKwQhcXk8w
> > > > > > > > > >
> > > > > > > > > > Regards, WM
> > > > > > > > > Why? Are you really this dumb?
> > > >
> > > > > Yes, it is nothing but your idiotic idea and nothing else.
> > > > Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
> > >
> > >
> > > Mathematics predates the greeks.
> > Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.
> It still predates the greeks, no matter the quality.

Anything that predates the Greeks is garbage, not mathematics.

> >
> > Remember the following link?
> >
> > https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic
> Your shit?

Still hurts uh? Chuckle.

> >
> > You were routed so badly, your empty head is still spinning.
> '
> Only in your dreams, not in reality.

All one has to do is read the article and the truth is revealed.

> > >
> > > > > It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
> > > > Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
> > >
> > > Sorry but the retard is you. Oncey ou are dead there is a retard less
> > Like I said, you will die before me and I will laugh. LMAO
> Given I am younger than you, the odds are not in your favour.

Bad at probability and statistics too, I see. Also, very bad logic given that I am an exception, not the rule. I would still be able to beat the crap out of you in a physical fight and I am old enough to be your grandpa. LMAO..

They estimated that I had 3-6 years left to live back in 2013. Do the arithmetic moron! I am still here so get used to it.

You will be annihilated - if not by me, then by my fine young warrior acolytes who are many times more intelligent than you could ever hope to be, fake mathematician that you are.

Fritz Feldhase <franz.fritschee.ff@gmail.com> writes:

> On Monday, January 23, 2023 at 4:44:05 PM UTC+1, Ben Bacarisse wrote:
>
>> For WM, words like all and every are not aids to understanding
>
>> by
>
> but?

Yes, thanks.

>> opportunities to obscure and switch quantifiers.
>
> Completely agree with you (if I got you right).
>

--
Ben.

On 1/23/2023 8:58 AM, Eram semper recta wrote:
> On Monday, 23 January 2023 at 14:29:20 UTC+2, zelos...@gmail.com wrote:
>> måndag 23 januari 2023 kl. 10:26:13 UTC+1 skrev Eram semper recta:
>>> On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
>>>> fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
>>>>> On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
>>>>>> torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
>>>>>>> On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
>>>>>>>> onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
>>>>>>>>> On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
>>>>>>>>>> tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
>>>>>>>>>>> Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
>>>>>>>>>>>
>>>>>>>>>>>> Ordering is not about names.
>>>>>>>>>>> No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
>>>>>>>>> Ordering is very much about NAMES because:
>>>>>>>> They are all named bob, we can order them now. Happy?
>>>>>>>>>
>>>>>>>>> A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
>>>>>>>> That is your asinine idea, nothing else.
>>>>>>> Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
>>>>>>>>>
>>>>>>>>> The *names* are how we identify the *measures*.
>>>>>>>> I don't think bob tells us much of anything.
>>>>>>>>>
>>>>>>>>> https://youtube.com/shorts/HxKwQhcXk8w
>>>>>>>>>>>
>>>>>>>>>>> Regards, WM
>>>>>>>>>> Why? Are you really this dumb?
>>>>>
>>>>>> Yes, it is nothing but your idiotic idea and nothing else.
>>>>> Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
>>>>
>>>>
>>>> Mathematics predates the greeks.
>>> Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.
>> It still predates the greeks, no matter the quality.
>
> Anything that predates the Greeks is garbage, not mathematics.
>
>>>
>>> Remember the following link?
>>>
>>> https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic
>> Your shit?
>
> Still hurts uh? Chuckle.
>
>>>
>>> You were routed so badly, your empty head is still spinning.
>> '
>> Only in your dreams, not in reality.
>
> All one has to do is read the article and the truth is revealed.
>
>>>>
>>>>>> It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
>>>>> Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
>>>>
>>>> Sorry but the retard is you. Oncey ou are dead there is a retard less
>>> Like I said, you will die before me and I will laugh. LMAO
>> Given I am younger than you, the odds are not in your favour.
>
> Bad at probability and statistics too, I see. Also, very bad logic given that I am an exception, not the rule. I would still be able to beat the crap out of you in a physical fight and I am old enough to be your grandpa. LMAO.
[...]

LOL! You violent crank from the land of asshole! You get the shit kicked
out of you over math... Then you want to get physical! Sick demented
twit. Dumb ass. Here is the song for you:

https://youtu.be/vWz9VN40nCA

Why don't you hit yourself in the face. Are you strong enough to knock
your own block off? Dip shit punk.

On 1/23/2023 3:57 AM, WM wrote:
> Ben Bacarisse schrieb am Montag, 23. Januar 2023 um 03:27:36 UTC+1:
>> WM <askas...@gmail.com> writes:
>
>>>>> Collect all unit fractions which have ℵo unit fractions between
>>>>> themselves and zero.
>>>>
>>>> That's all of them, without exception. No unit faction fails that
>>>> test. And surely in WMaths, there are no unit factions with only a
>>>> finite number of fractions between themselves are zero?
>>>
>>> IF the set has no distance from zero, THEN not all its points can have
>>> an infinite distance from zero. Is that really too hard to understand?
>> Not hard, impossible, because you don't say what you mean, probably
>> deliberately. What does no distance between a set and a number mean?
>
> It means that no unit fraction lies between the set and zero.

between?

What is between -1...1?

Lets see here:

1 - -1 = 2

the mid point is:

-1 + (2 / 2) = 0

Got it?

> The set spans the interval (0, 1] even if all other points are removed.
> There is noting betwee (0, 1] and 0.
>
>> The term "distance" is playing a magical role here.
>
> No, it is simply an abbreviation.
> Definition: The distance of an object is X means there are X unit fractions between the object and zero.
>
> Every unit fraction has distance ℵo. The set has distance 0. But this can only be checked by considering its elements because here the set is its elements. For every considered unit fractions is fails. Hence not all unit fractions can be considered.
>
> Regards, WM

On Monday, 23 January 2023 at 23:22:02 UTC+2, Chris M. Thomasson wrote:
> On 1/23/2023 8:58 AM, Eram semper recta wrote:
> > On Monday, 23 January 2023 at 14:29:20 UTC+2, zelos...@gmail.com wrote:
> >> måndag 23 januari 2023 kl. 10:26:13 UTC+1 skrev Eram semper recta:
> >>> On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
> >>>> fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
> >>>>> On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
> >>>>>> torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
> >>>>>>> On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
> >>>>>>>> onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
> >>>>>>>>> On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail..com wrote:
> >>>>>>>>>> tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
> >>>>>>>>>>> Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
> >>>>>>>>>>>
> >>>>>>>>>>>> Ordering is not about names.
> >>>>>>>>>>> No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
> >>>>>>>>> Ordering is very much about NAMES because:
> >>>>>>>> They are all named bob, we can order them now. Happy?
> >>>>>>>>>
> >>>>>>>>> A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
> >>>>>>>> That is your asinine idea, nothing else.
> >>>>>>> Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
> >>>>>>>>>
> >>>>>>>>> The *names* are how we identify the *measures*.
> >>>>>>>> I don't think bob tells us much of anything.
> >>>>>>>>>
> >>>>>>>>> https://youtube.com/shorts/HxKwQhcXk8w
> >>>>>>>>>>>
> >>>>>>>>>>> Regards, WM
> >>>>>>>>>> Why? Are you really this dumb?
> >>>>>
> >>>>>> Yes, it is nothing but your idiotic idea and nothing else.
> >>>>> Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
> >>>>
> >>>>
> >>>> Mathematics predates the greeks.
> >>> Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.
> >> It still predates the greeks, no matter the quality.
> >
> > Anything that predates the Greeks is garbage, not mathematics.
> >
> >>>
> >>> Remember the following link?
> >>>
> >>> https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic
> >> Your shit?
> >
> > Still hurts uh? Chuckle.
> >
> >>>
> >>> You were routed so badly, your empty head is still spinning.
> >> '
> >> Only in your dreams, not in reality.
> >
> > All one has to do is read the article and the truth is revealed.
> >
> >>>>
> >>>>>> It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
> >>>>> Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
> >>>>
> >>>> Sorry but the retard is you. Oncey ou are dead there is a retard less
> >>> Like I said, you will die before me and I will laugh. LMAO
> >> Given I am younger than you, the odds are not in your favour.
> >
> > Bad at probability and statistics too, I see. Also, very bad logic given that I am an exception, not the rule. I would still be able to beat the crap out of you in a physical fight and I am old enough to be your grandpa. LMAO.
> [...]
>
> LOL! You violent crank from the land of asshole! You get the shit kicked
> out of you over math... Then you want to get physical! Sick demented
> twit. Dumb ass. Here is the song for you:
>
> https://youtu.be/vWz9VN40nCA
>
> Why don't you hit yourself in the face. Are you strong enough to knock
> your own block off? Dip shit punk.

Cruel puppet much? Chuckle.

On 1/23/2023 10:03 PM, Eram semper recta wrote:
> On Monday, 23 January 2023 at 23:22:02 UTC+2, Chris M. Thomasson wrote:
>> On 1/23/2023 8:58 AM, Eram semper recta wrote:
>>> On Monday, 23 January 2023 at 14:29:20 UTC+2, zelos...@gmail.com wrote:
>>>> måndag 23 januari 2023 kl. 10:26:13 UTC+1 skrev Eram semper recta:
>>>>> On Monday, 23 January 2023 at 09:54:58 UTC+2, zelos...@gmail.com wrote:
>>>>>> fredag 20 januari 2023 kl. 10:39:07 UTC+1 skrev Eram semper recta:
>>>>>>> On Friday, 20 January 2023 at 08:18:52 UTC+2, zelos...@gmail.com wrote:
>>>>>>>> torsdag 19 januari 2023 kl. 18:03:15 UTC+1 skrev Eram semper recta:
>>>>>>>>> On Thursday, 19 January 2023 at 10:08:24 UTC+2, zelos...@gmail.com wrote:
>>>>>>>>>> onsdag 18 januari 2023 kl. 09:50:36 UTC+1 skrev Eram semper recta:
>>>>>>>>>>> On Wednesday, 18 January 2023 at 08:17:01 UTC+2, zelos...@gmail.com wrote:
>>>>>>>>>>>> tisdag 17 januari 2023 kl. 09:36:24 UTC+1 skrev WM:
>>>>>>>>>>>>> Ben Bacarisse schrieb am Montag, 16. Januar 2023 um 18:42:11 UTC+1:
>>>>>>>>>>>>>
>>>>>>>>>>>>>> Ordering is not about names.
>>>>>>>>>>>>> No? How do you well-order? Well-order the set {1, 2, 3} please without names in your way.
>>>>>>>>>>> Ordering is very much about NAMES because:
>>>>>>>>>> They are all named bob, we can order them now. Happy?
>>>>>>>>>>>
>>>>>>>>>>> A NUMBER is a NAME given to a MEASURE that describes a RATIO (the antecedent part of the ratio of magnitudes).
>>>>>>>>>> That is your asinine idea, nothing else.
>>>>>>>>> Nope. It's a fact. You don't even have a definition in your bogus mathematics - this speaks volumes.
>>>>>>>>>>>
>>>>>>>>>>> The *names* are how we identify the *measures*.
>>>>>>>>>> I don't think bob tells us much of anything.
>>>>>>>>>>>
>>>>>>>>>>> https://youtube.com/shorts/HxKwQhcXk8w
>>>>>>>>>>>>>
>>>>>>>>>>>>> Regards, WM
>>>>>>>>>>>> Why? Are you really this dumb?
>>>>>>>
>>>>>>>> Yes, it is nothing but your idiotic idea and nothing else.
>>>>>>> Comes right from the brilliant people who gave the world mathematics. Sorry, I can't take cradit for it.
>>>>>>
>>>>>>
>>>>>> Mathematics predates the greeks.
>>>>> Nope. It doesn't. Whatever came before the Greeks was unremarkable rubbish.
>>>> It still predates the greeks, no matter the quality.
>>>
>>> Anything that predates the Greeks is garbage, not mathematics.
>>>
>>>>>
>>>>> Remember the following link?
>>>>>
>>>>> https://www.academia.edu/48985883/The_Obelus_and_Division_in_Arithmetic
>>>> Your shit?
>>>
>>> Still hurts uh? Chuckle.
>>>
>>>>>
>>>>> You were routed so badly, your empty head is still spinning.
>>>> '
>>>> Only in your dreams, not in reality.
>>>
>>> All one has to do is read the article and the truth is revealed.
>>>
>>>>>>
>>>>>>>> It is not a fact, it is just your wishing and once you're dead, hopefully soon, it'll die with you and mathematics will move forward like it is already doing and you did nothing with your idiotic life
>>>>>>> Keep wishing... you may well be dead before me and it wouldn't be any loss to the world. Minus you, minus one more retard.
>>>>>>
>>>>>> Sorry but the retard is you. Oncey ou are dead there is a retard less
>>>>> Like I said, you will die before me and I will laugh. LMAO
>>>> Given I am younger than you, the odds are not in your favour.
>>>
>>> Bad at probability and statistics too, I see. Also, very bad logic given that I am an exception, not the rule. I would still be able to beat the crap out of you in a physical fight and I am old enough to be your grandpa. LMAO.
>> [...]
>>
>> LOL! You violent crank from the land of asshole! You get the shit kicked
>> out of you over math... Then you want to get physical! Sick demented
>> twit. Dumb ass. Here is the song for you:
>>
>> https://youtu.be/vWz9VN40nCA
>>
>> Why don't you hit yourself in the face. Are you strong enough to knock
>> your own block off? Dip shit punk.
>
>
> Cruel puppet much? Chuckle.

Pot Kettle?