substance, on the other hand, do not involve the existence of any entity—
such as a Form of Humanity—distinct from the individual substance of the
appropriate kind.
Aristotle provides himself with the means to deal with the
problems about Wctions by introducing a sense of ‘is’ in which it
means ‘is true’ (D 7. 1017a31). A Wction is a genuine thought, but it is not,
i.e. is not true. With regard to the extant and the defunct, Aristotle
solves problems about things that come into existence and go out of
existence by means of the doctrine of matter and form. To exist is to be
matter under a certain form, to be a thing of a certain kind. Socrates ceases
to exist if he ceases to possess his form, that is, if he ceases to be a human
being.
We have still not explicitly considered the most important of Aristotle’s
contributions to metaphysics, namely the doctrine of actuality and poten-
tiality. If we consider any item, from a pint of milk to a policeman, we shall
Wnd a number of things true of that item and a number of other things
which, though not at that time true of it, can become true of it at some
other time. Thus, the pint of liquid is milk, but it can be turned into butter;
the policeman is fat, prone, and speaks only English, but if he wants to he
can become slim, start mowing the lawn, and learn French. The things that
something currently is, or is doing, are called by Aristotle its actualities
(energeiai); the things that it can be, or can do, are its potentialities (dynameis).
Thus the liquid is actually milk but potentially butter; the policeman is
actually fat but potentially slim; and so on. Potentiality, in contrast to
actuality, is the ability to undergo a change of some kind, whether through
one’s own action or through the action of other agents upon oneself.
A change from fat to slim is an accidental change: in such a case a substance
has the potentiality to be now F and now not F. A change, however, from
milk to butter would be, for Aristotle, a substantial change. It is not the
substance, but the matter, that has the potentiality to take on diVerent
substantial forms.
Of course in studying the pairs matter–form and substance–accident, we
have in fact become acquainted with particular types of potentiality and
actuality. The importance of the analysis in the history of metaphysics is
that Aristotle saw it as a way of disarming the challenges of Parmenides,
Heraclitus, and Plato. The early metaphysician s had spelt out the paradoxes
that could be generated either by saying that being came from being, or
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