It is widely held that in Plato's Sophist, Forms rest or change or both. The received opinion is, however, false—or so I will argue. There is no direct support for it in the text and several passages tell against it. I will further argue that, contrary to the view of some scholars, Plato did not in this dialogue advocate a kind of change recognizable as 'Cambridge change', as applicable to his Forms. The reason that Forms neither change nor rest is (...) that they are purely intelligible entities, not susceptible to changing or being at rest. Since Plato continues in the Sophist to treat Forms as causes, it follows that Forms are changeless causes. I ask what conception of cause might allow for this view, and reject the suggestion that Plato was some kind of proto-dispositionalist about causation. Instead I suggest that he understood causation to incorporate a notion of structuring, such that Forms can be seen to structure their participants and so cause them to possess the attributes they possess. (shrink)

The paper argues that Motion and Rest are “greatest kinds” and not just convenient examples, since they are all-pervading. Thus Motion and Rest can be jointly predicated of a single subject and can be predicated of each other, just as Sameness and Otherness can. While Sameness and Otherness are opposites, a single subject may be the same in one respect, namely, the same as itself, and other in another respect, namely, other than other things. Thus they can be predicated of (...) a single subject, and they can be predicated of each other, as well, since Sameness is other than other things and Otherness is the same as itself. The same explanation applies to Motion and Rest, as the paper demonstrates: a given subject may be in motion in one respect while being at rest in another respect. This distinction is made in the Sophist itself, right in the passage concerning the greatest kinds. Thus Motion and Rest should be considered greatest kinds on par with Being, Sameness, and Otherness, and each of these kinds pervades all other kinds. (shrink)

Anyone who has read Plato’s Republic knows it has a lot to say about mathematics. But why? I shall not be satisfied with the answer that the future rulers of the ideal city are to be educated in mathematics, so Plato is bound to give some space to the subject. I want to know why the rulers are to be educated in mathematics. More pointedly, why are they required to study so much mathematics, for so long?