#### EXCERPT

In this final chapter we will take up two remaining considerations, with which we will try to round off our work. If, in chapters 8–10, we have emphasized a turn to questions connected with the ‘*how*?’ in contemporary mathematics, and if, in chapters 4–7, we have reviewed a few emergences (‘where?’) of precise and delimited problematics (‘why?’) in detail, in this chapter we will study, on the one hand, the *general* interlacing by which contemporary mathematics (1950 to today) can be distinguished from prior mathematics (a *conceptual* ‘what/how/why’ *synchrony*, beyond a merely diachronic cut happening around 1950). And, on the other hand, we will also examine the *general* positioning of mathematical thought within culture, and the ways in which it naturally shares a frontier with aesthetics (a *conceptual geography* of the ‘where?’)…