Great list. I would add to it the point that to an extent, the contradiction is simply an artifact of our chosen system of scientific method/analysis, which fav

Great list. I would add to it the point that to an extent, the contradiction is simply an artifact of our chosen system of scientific method/analysis, which favours decisions over philosophy (albeit for necessary practical purposes). e.g., the way p-values are used to make crisp binary decisions via arbitrary thresholds, rather than simply mentioned and left to the reader to interpret their meaning as an exercise in philosophy.