Re: [HM] Number

Christoph J. Scriba (fm3a503@math.uni-hamburg.de)
Mon, 31 May 1999 14:27:21 +0200 (DFT)

>
>
> > ***
> > Do you know of any very good essays or other treatments of domain
> > of number (e.g., the major objects , operations, etc, of the whole,
> > integer, rational, and real number systems) that would be serious
.......

There is also an article in the "Dictionary of the History of Ideas",
ed. P. P. Wiener, vol. 3, 399-407 (New York: Scribner's, 1973).

The cultural aspects of the development of numbers are emphasized in
Karl Menninger: Number Words and Number Symbols.
(translation from "Zahlwort und Ziffer", 1st ed. in German: 1957).
The publisher of the English translation was, I believe, an American
university press.

Christoph J. Scriba
Universit"at Hamburg
Institut f"ur Geschichte der Naturwissenschaften,
Mathematik und Technik
Bundesstr. 55
D - 20146 Hamburg
Germany

scriba@math.uni-hamburg.de

>
> Here some suggestions from the already existing literature on the subject:
>
> Christoph J. Scriba, The concept of number, Bibliographisches Institut
> Mannheim/Zu"rich 1968 (= B.I-Hochschulskripten vol. 825/825a).
>
> If you and your colleagues are willing to consider non-English literature
> as well, there are two more German books:
>
> Helmuth Gericke, Geschichte des Zahlbegriffs (history of the concept of
> number), Bibliographisches Institut Mannheim/Wien/Zu"rich 1970 (=
> B.I.-Hochschultaschenbu"cher vol. 172/172a) and
>
> Johannes Tropfke, Geschichte der Elementarmathematik, fourth edition by
> Kurt Vogel, Karin Reich, Helmuth Gericke, Walter de Gruyter Berlin/NY 1980,
> especially chapter 1.3 "Der Zahlbegriff und seine Erweiterungen" of this
> very carefully researched book.
>
> Ivo Schneider
>
>
>
>