> My experience with thinking in abstract domains matches this perfectly—and I bet it can be trained/taught. Well, when I first started reading mathematics boo

> My experience with thinking in abstract domains matches this perfectly—and I bet it can be trained/taught. Well, when I first started reading mathematics books I found them extremely difficult to read, and had to labour over each statement that was made to try and get the structure of the thing they were defining -- nowadays a lot of the trouble has subsided, because I'm more able to visualise it. An example of this are the set-theoretic ideas of sets, union, intersection, etc. Nowadays something a bit like a Venn diagram appears in my head, that I can manipulate at will. One thing to note is that I used to put a lot of focus on the names of variables, whereas now I think more about what it represents in general. I would add that something similar happened with programming.