Yeah, I agree. But as the miscommunication about the dimension of simplices vs. orthogonal dimensionality seems to indicate, reduction need not imply linearity, and if reduction is used iteratively to discover interestingness, that provenance/method/algorithm need not be lost (1st order Markovian). A practical example might be https://en.wikipedia.org/wiki/Projection_pursuit
Like abstraction <-> concretization, there's de-objectification that's part of a complete skill set. Competent objectifiers retain enough history to at least approximate the starting point. On 5/4/21 1:37 PM, jon zingale wrote: > """ > Reduction is a triumph if it captures what you're looking for. > """ > > When reductions capture what one is looking for then the resulting > categories > make for powerful rhetoric. IMO, it is exactly that reductions to crisp > objects > capture what *some* want, while obfuscating the desired objects of others, > that > makes the whole reduction-objectification game so insidious in practice (a > kind > of conceptual imperialism?). Sometimes objects can be presented with such > clarity > and precision that it becomes difficult to imagine any others, to dislodge > unproductive beliefs or practices, or to remember that the objects are > fantastic > shorthands. -- ↙↙↙ uǝlƃ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com FRIAM-COMIC http://friam-comic.blogspot.com/ archives: http://friam.471366.n2.nabble.com/
