MathOverflow

Has anybody ever explored an essentially apophatic foundation of mathematics?
That is, has anyone ever laid out a foundation of mathematics which attempts to describe what the universe of sets is not like?
I am aware that some large cardinal hypotheses are along these lines, describing how we cannot fully capture the set-theoretical universe through various iterative/recursive methods, but I was wondering if anyone had ever set out to lay a foundation...

Let $X^1,\dots,X^n$ be a sample of (not necessarily iid) random variables and denote$$F^n(x)=\frac{1}{n}\sum_{i=1}^n \mathbf 1_{X^i\leq x}$$the empirical distribution function. Suppose that we know that $F^n(x)\to F(x)$ in probability for all continuity...

I am looking to build some intuition for a project that I am working, and for this I'd like to get my hands on interesting and concrete examples of finite locally free affine groupoids. For the algebraically inclined, these are anti-equivalent to commutative...

I trying to learn about using "strings and bands" to classifying indecomposable modules for (special) biserial algebras. I have a scan of a copy of Erdmann's "Blocks of Tame Representation Type and Related Algebras" but the scan is low quality and there...