Problems with Anaximander's Numbers

Apeiron 42 (3):167-184 (2009)
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Abstract

Diogenes Laërtius and Plinius report that Anaximander made a globe, meaning a celestial globe. These statements must be due to an anachronistic misunderstanding, as a celestial globe presupposes a conception of a spherical universe in which the stars make up the outermost sphere. According to Anaximander, however, the stars are nearest to the earth, as is confi rmed by Aëtius and Hippolytus. Generally speaking, Anaximander’s universe of a column-drum-like earth at the center of the concentric wheels of the celestial bodies can hardly be called spherical. Nevertheless we may assume that Anaximander, who drew a map of the earth, offered some representation of his cosmological ideas as well. Although a three-dimensional representation like a celestial globe is not likely, one may readily imagine that he drew a two-dimensional picture, a kind of ground-plan or map of his conception of the cosmos. The doxographers will erroneously have taken an account about this map as standing for a celestial globe such as they knew from their own experience. In this article I will deal with the problems that arise when we try to draw a map of Anaximander’s universe, and suggest ways to solve them. In discussing several authors who have studied the subject I will point out some bothersome inconsistencies and mistakes in their renditions. One problem, however, which has not been noticed before, will prove to be insolvable within the context of the doxographical evidence. I will argue that the only way to meet this problem is to look upon it as circumstantial evidence for the supposition that Anaximander never made a three-dimensional model whatsoever of his conception of the universe.

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