Abstract

The name of Democritus can claim a place in any discussion of indivisibles. Yet its introduction in this paper seems to depend on the lucus a non lucendo principle; for Democritus did not believe in the existence of indivisible lines. Nowhere is the belief ascribed to him and in at least one place it is implicitly denied, the scholion on De Caelo 268a 1, which says he made his elements indivisible solids, as contrasted with lines or surfaces. Two passages, one from Plutarch, the other from Simplicius, will show why he could not believe in indivisible lines