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From: Dave L. Renfro on 28 Jan 2010 11:44
Gottfried Helms wrote:

> It is a very unusual word (to say the least). I suspect,
> he constructed it from some property, which is obscure
> to me so far. Do you have an online reference (for instance
> digitized in some math-journal-archive) or at least
> an abstract?

Below are some on-line references. I also have a math
question further down below for those more interested
in math than translation issues.

According to a google word search, "Weitenbehaftungen"
appears in the following 1902 book of his 67 times:

"Die grundsätze und das wesen des unendlichen in der
mathematik und philosophie", 1902
http://books.google.com/books?id=lBcQAAAAYAAJ

See also:

pp. 583-584 of "Kant-Studien", Volume 10, 1905
http://books.google.com/books?id=PNhDAAAAIAAJ&pg=PA583

p. 614 of "The journal of philosophy, psychology and scientific
methods", Volume 2, 1905
http://books.google.com/books?id=p8MGXJGHrAgC&pg=PA614

pp. 65-74 [= 181-190 of google file] of "Lehrproben und Lehrgänge
für die Praxis der Schulen", Volume 22, 1906
http://books.google.com/books?id=pGIVAAAAIAAJ&pg=PA181

For more, on the very small chance anyone wants more,
this search brings up many others:

http://books.google.com/books?q=Kurt+Geissler+Weitenbehaftungen&as_brr=1

I'm also interested in a rough idea of what kind of
mathematical idea/analysis he's carrying out on the
last page of his paper

"Die Asymptote und die Weitenbehaftungen", Zeitschrift für
Mathematischen und Naturwissenschaftlichen Unterricht 34
(1903), 313-324.
http://books.google.com/books?id=L7IWAQAAIAAJ&pg=PA324

Dave L. Renfro
From: Gottfried Helms on 28 Jan 2010 12:42
Am 28.01.2010 17:44 schrieb Dave L. Renfro:
> Gottfried Helms wrote:
>
>> It is a very unusual word (to say the least). I suspect,
>> he constructed it from some property, which is obscure
>> to me so far. Do you have an online reference (for instance
>> digitized in some math-journal-archive) or at least
>> an abstract?
>
> Below are some on-line references. I also have a math
> question further down below for those more interested
> in math than translation issues.
>
Hmm, in all references I see just one sentence, not a page.
This is far too little for me to get a meaningful idea...

Here is one remark in a (english) review; maybe this is
helpful:
Foundations of logic, Russell,Urquhart,Lewis, chap(?) 26
(google paging 564)
http://books.google.com/books?id=zippibBi-aEC&pg=PA564&dq=weitenbehaftungen&lr=&as_drrb_is=q&as_minm_is=0&as_miny_is=&as_maxm_is=0&as_maxy_is=&as_brr=3&hl=de&cd=1#v=onepage&q=weitenbehaftungen&f=false


Gottfried
From: Dave L. Renfro on 28 Jan 2010 14:16
Gottfried Helms wrote (in part):

> Hmm, in all references I see just one sentence, not a page.
> This is far too little for me to get a meaningful idea...

Apparently there are differences by location (with country,
I assume) for which google-book items have "full view" status,
because each of the links I posted is "full view" (i.e. entire
item can be freely downloaded as a .pdf file) where I'm at.

I've tried something else. I've copied and pasted onto a MicroSoft
word document the (.pdf file) pages of the paper by Geissler
that I'm interested in and I've posted the document as an
attachment in a Math Forum sci.math post.

"Die Asymptote und die Weitenbehaftungen", Zeitschrift für
Mathematischen und Naturwissenschaftlichen Unterricht 34
(1903), 313-324.
http://books.google.com/books?id=L7IWAQAAIAAJ&pg=PA324

The Math Forum post that has this attachment is located
at the following URL:

http://mathforum.org/kb/message.jspa?messageID=6960240

Dave L. Renfro
From: Axel Vogt on 28 Jan 2010 14:55
Dave L. Renfro wrote:
> Gottfried Helms wrote (in part):
>
>> Hmm, in all references I see just one sentence, not a page.
>> This is far too little for me to get a meaningful idea...
>
> Apparently there are differences by location (with country,
> I assume) for which google-book items have "full view" status,
> because each of the links I posted is "full view" (i.e. entire
> item can be freely downloaded as a .pdf file) where I'm at.
>
> I've tried something else. I've copied and pasted onto a MicroSoft
> word document the (.pdf file) pages of the paper by Geissler
> that I'm interested in and I've posted the document as an
> attachment in a Math Forum sci.math post.
>
> "Die Asymptote und die Weitenbehaftungen", Zeitschrift für
> Mathematischen und Naturwissenschaftlichen Unterricht 34
> (1903), 313-324.
> http://books.google.com/books?id=L7IWAQAAIAAJ&pg=PA324
>
> The Math Forum post that has this attachment is located
> at the following URL:
>
> http://mathforum.org/kb/message.jspa?messageID=6960240
>
> Dave L. Renfro

I also never heard of that. Google gives 6 hits, one is an
old review in English though Jstor, the others are German
and sound a bit esoteric (for me, sorry for judging ...):

http://www.jstor.org/pss/2012184 (I do not have access)
http://www.google.de/search?q=weitenbehaftung&ie=utf-8&oe=utf-8
From: Chip Eastham on 28 Jan 2010 16:23
On Jan 28, 11:44 am, "Dave L. Renfro" <renfr...(a)cmich.edu> wrote:
> Gottfried Helms wrote:
> > It is a very unusual word (to say the least). I suspect,
> > he constructed it from some property, which is obscure
> > to me so far. Do you have an online reference (for instance
> > digitized in some math-journal-archive) or at least
> > an abstract?
>
> Below are some on-line references. I also have a math
> question further down below for those more interested
> in math than translation issues.
>
> According to a google word search, "Weitenbehaftungen"
> appears in the following 1902 book of his 67 times:
>
> "Die grundsätze und das wesen des unendlichen in der
> mathematik und philosophie", 1902http://books.google.com/books?id=lBcQAAAAYAAJ
>
> See also:
>
> pp. 583-584 of "Kant-Studien", Volume 10, 1905http://books.google.com/books?id=PNhDAAAAIAAJ&pg=PA583
>
> p. 614 of "The journal of philosophy, psychology and scientific
> methods", Volume 2, 1905http://books.google.com/books?id=p8MGXJGHrAgC&pg=PA614
>
> pp. 65-74 [= 181-190 of google file] of "Lehrproben und Lehrgänge
> für die Praxis der Schulen", Volume 22, 1906http://books.google.com/books?id=pGIVAAAAIAAJ&pg=PA181
>
> For more, on the very small chance anyone wants more,
> this search brings up many others:
>
> http://books.google.com/books?q=Kurt+Geissler+Weitenbehaftungen&as_brr=1
>
> I'm also interested in a rough idea of what kind of
> mathematical idea/analysis he's carrying out on the
> last page of his paper
>
> "Die Asymptote und die Weitenbehaftungen", Zeitschrift für
> Mathematischen und Naturwissenschaftlichen Unterricht 34
> (1903), 313-324.http://books.google.com/books?id=L7IWAQAAIAAJ&pg=PA324
>
> Dave L. Renfro

After a bit of poking around in the book Die grundsatze
und das wesen des unendlichen in der mathematik und
philosophie (roughly, The foundations and essence of
infinity in mathematics and philosphy), I suspect that
the "prefix" Weiten (width) is being used in a sense
of space. For instance, there's a dialog starting
on p. 335 of the book called "The concept of Behaftung
as an interim solution to the problem", cast as a
dialog "with a young man", in which appears the phrase
"zwei räumliche Behaftungen" (p. 340). The adjective
räumliche means spatial (or space-like). I also saw
the word Weitenbehaftung paired with area or territory
in some places in the book.

The following section of the book (after dialog with a
young man) is called Do the Behaftungen lead back to
the old difficulties? (p. 344). So I submit that the
crux of the mystery is what Geissler meant by Behaftung.

In addition to stickiness/adhesion, haftung can mean
liability or legal responsibility. The fact that Geissler
does so much "work" trying to elucidate the concept is
something of a clue as to an esoteric meaning.

regards, chip
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