Math is a language, pt. 2

In my previous post, I argued mathematics can be considered as an highly sophisticated, fractal language in which ideas are layered on each other to build very tall mathematical buildings. Rigourous proofs are the strong mortar keeping the tower standing up. All of this was philosphical and suggestive, and stemmed from the evergreen question 'of … Continue reading Math is a language, pt. 2

Math is a language.

I always been a lover of 'math for the sake of math' and I found annoying to ask 'but what is this useful for?' when learning about a new concept. It might seem weird, but to a pure mathematician 'apply' sounds like 'spoil'. Applications are a kind of low rank pursue for a mathematician, something … Continue reading Math is a language.

Perspectives on categories.

Category theory is a very fascinating area of mathematics. It's unexpectedly powerful in an incredible width of different contexts, from the purest abstractions to the most concrete applications. I'm far from being an expert in category theory, although I enjoy fiddling with it and looking through the categorical lens at the material of my courses. … Continue reading Perspectives on categories.