“Science isn’t about ‘Why’, it’s about ‘Why not?’!”

Wherein are described the spells spawn and yield

It’s all fun and games until you realize you don’t understand how language works

Smart Pointers, Dumb Idea

Wherein are described the spells of lambdas and overloading.

∫nake goes hssss

Quantales are a type of monoidal complete lattice, I give a class of quantales which are locally (ie. its down-sets are) in that same class – akin to what happens in the case of Locales, which are locally locales.

I give an almost complete proof of Gödel’s first incompleteness theorem, and give an idea of how to prove the second from the first.

An interesting but simple consequence of set theory is that the complement of any countable set in any convex set remains path connected. We show this for the plane.

Continuous functions from products of compact Hausdorf spaces to the real numbers factor through a countable sub-product of them. This is obtained through the Stone-Weierstrass theorem.