Saturday, June 4, 2011

Georg Cantor's 1883 "Grundlagen" article

Several years ago in Halifax, I found this translation of Cantor's 1883 article "On Infinite Linear Point Manifolds". The text comes from a set of mimeographed typewritten translations of three of Cantor's foundational papers on set theory and transfinite numbers, typewritten and mimeographed, it seems, in Nova Scotia's Annapolis Valley in 1941. The translator we have to thank for this is named George Bingley, though I haven't been able to find out any more information about him.

Of the three texts included in the manuscript, two are already available in English in the decently priced Dover volume. The third, as far as I know, is not [[CORRECTION: as far as I knew it was not available in English. It turns out that it is, in another translationin the 2nd volume of the mammoth and fantastically useful anthology entitled From Kant to Hilbert).]] Milner's French translation of the text appeared in Vol. 10 of the Cahiers pour l'analyse and can be found here.

Cantor - Grundlagen