Standing in the Vestibule: Proclus on Intermediates

Ancient Philosophy (forthcoming)

Authors
Jeremy Byrd
Tarrant County College
Miriam Byrd
University of Texas at Arlington
Abstract
Proclus, an early figure in the tradition ascribing mathematical intermediates to Plato, has been neglected by more recent proponents of this interpretation. We argue that Proclus’ position should be reconsidered, for he anticipated significant problems arising from what has come to be the typical view of intermediates. To address these concerns, Proclus distinguishes between the intermediates studied in mathematics and the objects described by mathematical theorems.
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