Infinity in the Presocratics [Book Review]

Review of Metaphysics 26 (3):547-548 (1973)
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Abstract

"Of the making of many books there is no end" seems reasonable enough when the subject is infinity but after reading this well-organized study one is not so sure; a figure suggested by Zeno speaks of "a fog [which] the incessant labours of modern scholars often cause." Sweeney’s methodology is to use the ever-increasing body of modern critical discussions as a help in interpreting and assessing the presocratic fragments and their ancient commentators. For Anaximander a particularly detailed and nuanced coverage of the literature between 1947 and 1970 is presented-over twenty major interpretations, with supplementary articles treated in an Appendix. Subsequent chapters treat in less detail the positions on infinity of the other Ionians, Pythagoras, the Eleatics, Empedocles, Anaxagoras, and the Atomists. Here the author relies heavily on existing surveys like those of Kirk and Raven and Guthrie. This raises a question about the kind of audience envisaged. To a sentence like "Let us now trace as simply and yet accurately as possible Raven’s views", Raven could be pardoned for reacting with the impression that he had already done just that himself. Much of the book is a perhaps over-leisurely doxography of work written in uncomplicated English, albeit in widely scattered journals; nonetheless Sweeney’s imposing, almost intimidating, coverage of bibliography will save even seasoned ancient philosophers many hours of L'année philologique-hunting and makes his work an important and eminently worthwhile contribution. Apart from some relatively minor misprints there is a serious confusion of Alcmaeon with the poet Alcman. Alcman deserves better treatment in the exegesis of Anaximander’s "rather poetical terms."—T. H.

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