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From out of left field, or thereabouts, see also pseudometric space and "Geometry of Logic": http://finitegeometry.org/sc/16/logic.html ...

While there seems like a potential well-balanced in-between to these complementing/contrasting philosophies and layers of view points, I feel partly well-suited to vent that from what I've seen, statistical data analysis seems to zealously want to gain understanding by using brute force, where self-ordering "shapes" simply want to flow which shows their Nature.



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