Jun

10

 I have read the book Scale by Geoffrey West and I find many of the charts tautological and suffer from the part whole fallacy. I wonder how many of the scaling relations are predictive and not related to the physical dimensions of weight and height of the many species he approximates with algorithmic charts that are consistent with random numbers.

Leandro Toriano writes: 

West's stuff is poorly regarded among technical people–it pops, but power laws can be made to look like they fit too many things. (There are a few critiques on arXiv, iirc.)

Recently I came across Indra's Pearls by David Mumford, Caroline Series, and David Wright. They do hat-tip Mandelbrot's Hausdorff (fractal) dimension, but don't fall into trendy theory. Easily makes my top 100 of all time, and probably top 3 mathematics books for non-mathematicians. In it you'll find more reasonable discussions of this stuff than elsewhere.

Koebe 1/4 on youtube has a good video of Curt MacMullen speaking on Renormalisation.


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