Re: First diagnal proof for real numbers

On 2 Jun., 21:30, "Dave L. Renfro" <renfr...@xxxxxxxxx> wrote (in
part):

Felix Klein, "Vorträge über ausgewählte Fragen der
Elementargeometrie", B. G. Teubner, 1895, v + 66 pages.
[Preface dated Ostern (Easter) 1895. JFM 26.0546.01]http://quod.lib.umich.edu/cgi/b/bib/bibperm?q1=ACV2370.0001.001

Heinrich Weber, "Lehrbuch der Algebra", Volume II,
Friedrich Vieweg und Sohn, 1896, xiv + 796 pages.
[Preface dated July 1896. JFM 27.0056.01]http://dz1.gdz-cms.de/no_cache/dms/load/toc/?IDDOC=45274

Thank you, Dave, for your scrutiny. So we have now, as a final result,
that it lasted only few years from Cantor's diagonal proof for general
sequences, published in 1892, till its application to real numbers
together with the correct statement concerning the dual representation
of some rationals.

Felix Klein in 1895
and Heinrich Weber in 1896
predate Emile Borel in 1898
and Jules Richard in 1905.

Further it appears as if Heinrich Weber was the first to give a
"Cantor-matrix" in the form persisting in modern text books.

Regards, WM


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