Guido Calenda

It is generally accepted that the enigmatic fragment 12 of Parmenides, supplemented by the first part of A.tius II 7.1, represents an unlikely cosmos which comprises alternating spherical crowns of fire and night, surrounding the earth. A comparison of the fragment and A.tius’ text shows that the latter adds nothing substantial to the fragment. Thus, fragment 12 can actually represent the structure of the earth, which consists of a core of fire, is surrounded by the layers of the earth’s crust, into which heat is transmitted from within, and on which the goddess of life dwells.

Zeno’s arguments are generally regarded as ingenious but downright unsound paradoxes, worth of attention mainly to disclose why they go wrong or, alternatively, to recognise them as clever, even if crude, anticipations of modern views on the space, the infinite or the quantum view of matter. In either case, the arguments lose any connection with the scientific and philosophical problems of Zeno’s own time and environment. In the present paper, I argue that it is possible to make sense of Zeno’s arguments if we recognise that Zeno was indeed a close follower of Parmenides, who wanted to show that, if the plurality of beings existed, then various absurd consequences would follow. He intended to highlight the compact and inarticulate nature of the being, and the human character of the system of world partitions producing the entities and the objects on which our knowledge is based.

Heraclitus and Parmenides, far from being polar opposites, convey the same message: all is one, objects and entities are man made distinctions. Only God knows the whole truth, says Heraclitus, and the most learned man can only guess. For Parmenides the knowledge of being identifies with being itself, and things that mortals posit are only names given by men. Zeno apparent paradoxes give us an insight about the topics discussed in Parmenides entourage, but it was Melisso’s absurd version of Eleatism that posterity regarded as the central tenet of the school.