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Hermann Grassmann and the nature of abstractions
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In fact, he worked at it for a ridiculously long time, and in 1862, a full 18 years after the publication of his first book, he finally published his refined second version of the same basic ideas, but in a new presentation, which he called Die Ausdehnungslehre: Vollständig und in strenger Form bearbeitet( link). Then, that person can serve as your champion, and other important and respected thinkers in that field— who are always extremely busy and don't have unlimited bandwidth to decipher long, impenetrable treatises and mathematical monographs— will have much more of a reason to give your ideas serious consideration; you effectively can piggyback on the accumulated credibility of your mentor. Again, I'm not saying that it would be impossible to do so, because of course the formulations are essentially the same at an intrinsic level; it's more that I suspect that the Grassmannian approach highlights certain aspects of these subjects in a way that somehow make it easier for theorists to conceptualize the deepest nature of the subjects— things like invariants and symmetries that can give the sudden "aha!"
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