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divisibility in Physics VI. I had been assuming at that time that Aristotle's elimination of reference to the infinitely large in his account of the potential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert's paper showed me that this was not obviously so. Suddenly other certainties about Aristotle's (apparently) judicious toning down of (supposed) Platonic extremisms began to crumble. The upshot of work I had been doing earlier on Plato's 'Third Man...

divisibility in Physics VI. I had been assuming at that time that Aristotle's elimination of reference to the infinitely large in his account of the potential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert's paper showed me that this was not obviously so. Suddenly other certainties about Aristotle's (apparently) judicious toning down of (supposed) Platonic extremisms began to crumble. The upshot of work I had been doing earlier on Plato's 'Third Man...

The Lysis is one of Plato's most engaging but also puzzling dialogues; it has often been regarded, in the modern period, as a philosophical failure. The full philosophical and literary exploration of the dialogue illustrates how it in fact provides a systematic and coherent, if incomplete, account of a special theory about, and special explanation of, human desire and action. Furthermore, it shows how that theory and explanation are fundamental to a whole range of other Platonic dialogues and indeed to the understanding of the corpus as a whole. Part One offers an analysis of, or running...

The Lysis is one of Plato's most engaging but also puzzling dialogues; it has often been regarded, in the modern period, as a philosophical failure. The full philosophical and literary exploration of the dialogue illustrates how it in fact provides a systematic and coherent, if incomplete, account of a special theory about, and special explanation of, human desire and action. Furthermore, it shows how that theory and explanation are fundamental to a whole range of other Platonic dialogues and indeed to the understanding of the corpus as a whole. Part One offers an analysis of, or running...