User:Boris Tsirelson/Sandbox1

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Revision as of 10:18, 19 July 2009 by imported>Boris Tsirelson (Replacing page with 'The modern mathematics treats "space" quite differently from the classical mathematics. The differences are listed below; their origin is explained afterwards. ==Differences==...')
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The modern mathematics treats "space" quite differently from the classical mathematics. The differences are listed below; their origin is explained afterwards.

Differences

Classic Modern
a single space many spaces of various kinds
axioms are obvious implications of definitions axioms are conventional
theorems are absolute objective truth theorems are implications of the corresponding axioms
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