>> Also, Cantor's mathematical ideas were very strongly influenced by his >> religious beliefs, and those were mystical beliefs, and he grew up in a >> Jewish environment. That amounts to suggestive evidence that Kabbalah >> has influenced mathematics. > > Affirmative: > > http://pirate.shu.edu/~wachsmut/ira/history/cantor.html > > Quote: > > Georg Ferdinand Ludwig Philipp Cantor was born in St. Petersburg, > Russia, on March 3, 1845. Georg's background was very diverse. > His father was a Danish _Jewish merchant_ that had converted to > Protestantism while his mother was a Danish Roman Catholic.
That says nothing to indicate that Cantor had any knowledge of or interest in any kind of Judaism, let alone the Kabbalah. My mum was an ex-Catholic - I couldn't have told you who St Anne was until ten years after I'd left home. Why would an ex-Jew educate his child in Jewish arcana?
That page also credits Cantor with arguments that are due to Galileo.
> Underline by me: _Jewish merchant_. I think the "merchant" is equally > important as the "Jewish". Perhaps the "Jewish" has lead to Cantor's > preoccupation with the infinite, but the "merchant" has lead Cantor to > his believe that the whole world is a set and nothing but a set. Read > "The Political Economy of Sets": > > http://groups.google.nl/group/sci.math/msg/19e5174536f49c32?hl=en&
where you write: > How can somebody for example conceive the thought that the whole of > mathematics is made up from nothing else but Sets? This would be > impossible if not society itself had'nt adopted the shape of an > "ungeheure Warensammlung" (unprecedented collection of goods: Karl > Marx in "Das Kapital").
The idea of constructing an entire ontology out of a single substratum goes back at least as far as Thales, and is a commonplace of theogonies all over Eurasia. Why on earth look for an economic parallel?
If Cantor's dad wanted his son to be an engineer he can't have been that enthused about trade.
And in case you hadn't noticed, the Kabbalah makes a number of quite specific, non-metaphorical, fudge-free assertions about the nature of reality. Which of these do you think Cantorian set theory adopts?
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