Eidal Mathematics

Serre, Langlands, Lawvere, Shelah


In the next three chapters we will review other examples of high mathematics in action, in the conviction that advanced mathematics—and, in this case, contemporary mathematics—provides philosophy with new problematics and instruments, as we shall see in part 3 of this work. But firstly, in order to present the mathematical landscape more commodiously, we will sort a few of its striking creative contributions into three complementary spectra: eidal, quiddital and archeal mathematics. Of course, these mathematical realms (and the neologisms that denote them) do not exist in a well-defined way as such, and must be understood only as expository subterfuges for easing the presentation and to help us get our bearings in a complex terrain…