Wonder how Nassim Taleb of "Fooled by Radomness" fame will respond to the discovery of Benjamini-Hochberg n controlling the family-wise error rate. I only read the paper, which won a prize in 2024, very lightly.
I think there's no such thing as the middle/midpoint of an open interval in the Standard Real line. Maybe in the 1- or 2- point compactification. But a closed interval does have a midpoint. Maybe using Hausdorff distance, though. Interesting question.