[FOM] Number theory proof mentioned by Frege

Simonyi, András andras.simonyi at gmail.com
Thu Apr 17 02:12:03 EDT 2008

Dear Chris,
the full text of the book referred to by Frege is available on
Google's Book Search:

Best wishes,
Andras Simonyi
Applied Logic Laboratory, Budapest, Hungary

On 16/04/2008, Chris Gray <cpgray at library.uwaterloo.ca> wrote:
> In "The Foundations of Arithmetic", Frege mentions a proof from pp.106-7
>  of Hermann Henkel's Theorie der complexen Zahlensysteme.
>  "Hankel proves that any closed field of complex numbers of higher order
>  than the ordinary, if made subject to all the laws of addition and
>  multiplication, contains a contradiction."  Frege p. 106
>  I have no copy of the Henkel book available to me.  Is this a well-known
>  result?  Is this proof discussed or given elsewhere?
>  Thanks,
> Chris Gray
>  University of Waterloo Library
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