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Mark Thompson wrote on 2007-06-19 UTC
'Oswald Spengler writes ...'There is not, and cannot be, number as such. There are several number-worlds as there are several Cultures.... Consequently, there are more mathematics than just one.''

Then for Spengler, what would be the point of discussing mathematics, since what one mathematician says might be true for his culture but not for his audience's? Similarly, to the extent that his idea applies to chess variants, what is the point of having a forum on them? (The underlying philosophical issue, as I recall from my undergraduate days long ago, is expressed succinctly as 'whether truth is one or many.')

I believe Spengler's viewpoint is more popular among sociologists and certain modern philosophers than it is among mathematicians, who tend to be Platonists, at least with regard to mathematics.

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