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So it is definitely not the case that painting is 2D, music is 1D, and mathematics is infD. Mathematics, like computing, is typically encoded as manipulations on strings of symbols, so by that logic it would be a 1D problem.https://twitter.com/pmddomingos/status/1251341882828795904 …
Arguably all of these domains have the same "dimension", which is the intrinsic dimensionality of the human mind.
(I'm expecting pedantic, braindead replies about how mathematics is not a product of the human mind 
)
Arguably you push to the stratosphere an analogy that was meant to stay close to the Earth. Analogies are like models, in that: “All models are wrong, but some are useful”
Use lossless dimensionality reduction to ease visualization, François! #USA1 42 #NWO 99>1 https://youtu.be/t5Sd5c4o9UM?t=90 …pic.twitter.com/3lTh832gtJ
Yes, any piece of information can be encoded in any number of dimensions. However, this does not imply that analysis of the dimensionality of typical representations is a pointless endeavor.
You may be interested in Jean Petitot's work on neurogeometry.
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