It seems kind of strange to me to draw the lines based on anthropology. If there was alternate universe in which a philospher with no mathematical training inve

It seems kind of strange to me to draw the lines based on anthropology. If there was alternate universe in which a philospher with no mathematical training invented Turing machines and so forth, would you consider CS a subfield of math in one universe but not the other? Your classification seems as reasonable as any, but the lines seem fairly arbitrary to me.