Can Mathematics Be Social? Flexible Representations for Interaction Process and Its Sociocultural Constructions

Mathematics is needed especially and primarily for helping coax social phenomena sufficiently into view to permit the sorts of reconstruing, manipulation, and measurement on which productive insight depends. I develop this view in two themes, language use and social space-times, along with two morals, and several object lessons, all leading up to the Knotty Future. I conclude with a discussion of pitfalls in this view.