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IUTを読むための用語集資料集スレ - 暇つぶし2ch673:現代数学の系譜 雑談
20/10/25 09:24:07.43 eIdDsFH8.net
>>595
つづき
That is to say, it is precisely this sort of situation that is referred to by the term
“inter-universal”. Put another way,
a change of universe may be thought of [cf. the discussion of §2.7, (i)] as
a sort of abstract/combinatorial/arithmetic version of the classical notion
of a “change of coordinates”.
In this context, it is perhaps of interest to observe that, from a purely classical point of
view, the notion of a [physical] “universe” was typically visualized as a copy of Euclidean
three-space. Thus, from this classical point of view,
a “change of universe” literally corresponds to a “classical change of the coordinate system - i.e., the labelling apparatus - applied to label points in
Euclidean three-space”!
Indeed, from an even more elementary point of view, perhaps the simplest example of the
essential phenomenon under consideration here is the following purely combinatorial
phenomenon: Consider the string of symbols
010
- i.e., where “0” and “1” are



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