In "Some reflections on the structure of our knowledge in physics" (1994), Howard Stein advocated the 'schematization' of the observer within physical theory. Conversely, Bertrand Russell, in a string of books from Problems of Philosophy (1912) through Analysis of Matter (1927), attempted to interpret experience in terms sympathetic to physical theory, i.e., such that places, times and objects could be 'logically constructed' from the stuff of experience. Here I bring these projects together, arguing that each provides resources for shoring up the other and that together they hint at a (geometrically characterized) experiential core that can be discerned within an otherwise incompatible succession of scientific theories.