Dang, this #AlgebraicGeometry text has a very poetic title, "The Rising Sea", which refers to an oneiric metaphor of Grothendieck about how a nut of knowledge is slowly cracked by the slowness of an incoming ocean tide.
It also cites Morpheus from The Matrix in its preface, haha.
Now I really want to read this. I like poetical mathematics. Kinda like Ada Lovelace.
http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf
Ooh, this is already getting interesting.
"Pathological examples are useful to know. On mountain highways, there are tall sticks on the sides of the road designed for bad weather. In winter, you cannot see the road clearly, and the sticks serve as warning signs: if you cross this line,you will die! Pathologies and (counter)examples serve a similar goal. They also serve as a reality check, when confronting a new statement, theorem, or conjecture, whose veracity you may doubt."
"We will not concern ourselves with subtle foundational issues (set-theoretic issues, universes, etc.). It is true that some people should be careful about these issues. But is that really how you want to live your life?"
I FEEL YA BRO
JordiGH