Terry Penner

This chapter contains sections titled: The “What is X?” Question, the Sciences, Virtue, and the Forms Plato's “Argument from the Sciences” for the Existence of Forms, as Apparently Represented by Aristotle, and Aristotle's Criticism of that Argument Plato the Parmenidean Sciences and Pseudo‐Sciences The Good and the Sciences A Proposal: The Forms are Attributes; and There are No Attributes that are not Forms What about Plato's Other Reasons for Believing in Forms (Logical, or Mystical‐Metaphysical‐Theological)? And Won't These Reasons Make of Forms Something Rather More than Simply Attributes? Objections to the Theory of Forms The Theory of Forms in Later Dialogues Note.

This chapter contains section titled: On What the Forms Are: the Present State of the Question Sketch of the View to be Offered Here Plan of this Discussion of the Forms The Republic's Project as a Whole The First Group of Passages on the Forms (V.472b—e with 454a–456c) The Second Group of Passages (X.596a–602b) The Third Group of Passages on the Forms (V.475e–480b, VI.484b–485b, 486d‐e, 490a—b, 493e–494a, 500b–502d) The Fourth Group of Passages (VI.502c‐VII.541b: Sun, Line, and Cave) as Describing the “Longer Road”: Plato's Identification of the Good with the Form of the Good The Anti‐reductionism of the Sun, Line, and Cave about the Real Natures of Things that Structure the Universe Conclusion.

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 Argument' began to look different from the way it had before. I was confronted with a possibility I had not till then so much as entertained. What if the more extreme posi tions of Plato on these issues were the more likely to be correct? The present work is the first instalment of the result ing reassessment of Plato's metaphysics, and especially of his theory of Forms. It has occupied much of my teaching and scholarly time over the past fifteen years and more. The central question wi th which I concern myself is, "How does Plato argue for the existence of his Forms (if he does )7" The idea of making this the central question is that if we know how he argues for the existence of Forms, we may get a better sense of what they are.