Maths
I have a few friends who are Math majors, so I apologize for this in advance. Said people, please don't bother to correct me, I know I'm wrong. I'd make for a very poor Philosophy major if I didn't. The purity of mathematics is incomparable to any other: it alone can boast of an objectivity that is almost not scientific, if by "science" we think of empiricality. Concepts and axioms in (pure) mathematics have no need of empirical epistemology, they are abstract, or, more correctly, math is the realm of the abstract, in the most abstract sense of the word, even. This is because math does not belong to time and space. It can measure and model time and space, yes, but it has to stand outside of them for it to have the capacity to do that. That is why, in Sir Terry Pratchett's Nation , we see two strangers who do not speak the same language have difficulty in learning terms for numbers, since things always have inherent quantity (what Locke would call ...