It is a living field, of course, but I do think there are certain texts that we know we would include from Turing, Von Neumann, Goedel, Church, Shannon, Backus, Hoare, Dijkstra, and I guess something about Perceptrons is now mandatory but IDK what text I'd choose. Beyond those texts things become hazier, but that's already at least a semester of undergraduate reading.

> Also the point of reading Euclid is not really to learn geometry but rather to investigate and examine the oldest, most primordial expression of the idea that math should be formalized using a few axioms.

Yeah, Euclid is important. It should be studied carefully in any Great Books program. But there's a lot of other important stuff to talk about and the extreme emphasis on Euclidean constructions is IMO a bit of a shibboleth.