Iamblichus: On the General Science of Mathematics

On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c. 245 CE–early 320s) on the Pythagoreans. He thought the Pythagoreans had treated mathematics as essential for drawing the human soul upwards to higher realms described by Plato, and downwards to understand the physical cosmos, the products of arts and crafts and the order required for an ethical life. His Pythagorean treatises use edited quotation to re-tell the history of philosophy, presenting Plato and Aristotle as passing on the ideas invented by Pythagoras and his early followers. Although his quotations tend to come instead from Plato and later Pythagoreanising Platonists, this re-interpretation had a huge impact on the Neoplatonist commentators in Athens. Iamblichus’ cleverness, if not to the same extent his re-interpretation, was appreciated by the commentators in Alexandria.

John Dillon is Emeritus Regius Professor of Greek at Trinity College Dublin, Ireland.

Richard Sorabji is Research Professor of Philosophy at King's College London and a Fellow of Wolfson College, Oxford, UK. He is the author of many books, including Necessity, Clause and Blame, Matter, Space and Motion, and Time, Creation and the Continuum, all published by Bloomsbury, and general editor of the Ancient Commentators on Aristotle series.

J.O. Urmson was Tutor in Philosophy at Corpus Christi College, University of Oxford, UK, and Henry Waldgrave Stuart Professor of Philosophy, Emeritus, at Stanford University, USA.

Michael Griffin is Professor of Classics and Philosophy at the University of British Columbia, Vancouver, Canada. He is co-editor of the series Ancient Commentators on Aristotle and translator of two of its volumes: Olympiodorus: Life of Plato and On Plato First Alcibiades 1–9 (Bloomsbury 2014) and Olympiodorus: On Plato First Alcibiades 10–28 (Bloomsbury 2015).