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Unmathematical features of math
Thanks to @Gurkenglas for being so wrong I decided to write this. (Epistemic status: I consider the following quite obvious and self-evident, but decided to post anyways. [1] ) Mathematics is a social activity done by mathematicians. — Paul Erdős, probably There've been a few attempts to create mathematical models of math. The examples that come to my mind are Gödelian Numbering (GN), Logical Induction (LI), and to some extent Solomonoff Induction (SI). Feel free to suggest more in the comments, but I'll use those as my primary reference points. In this post, I want to contrast them with the way human mathematicians do math by noticing a few features of their process, the ones that are hard to describe with the language of math itself. Those features overlap a lot and reinforce each other,
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