On the one hand, Aristotle claims that the matter of a material thing is not part of its form. On the other hand, he suggests that the proper account of a natural thing must include a specification of the kind of matter in which it is realized. There are three possible strategies for dealing with this apparent tension. First, there may be two kinds of definition, so that the definition of the form of a thing does not include any specification (...) of its matter, whereas the definition of a compound does. Second, the definition of a substance may not include a specification of its matter at all, but still reveal in what kinds of matter its form can be realized. Third, there may be a special kind of matter, functional matter, which belongs to the form of certain things. I will show that the functional matter of a thing does not belong to its form (in a strict sense of “form”), but that an adequate account of natural substances and their functions must nonetheless involve a reference to their functional matter. This means that the function of a natural thing is not the same as its form and that its adequate account as a natural thing is not a definition (in a strict sense of “form” and “definition”). (shrink)

In On Generation and Corruption, Aristotle rejects the very possibility of such a thing as Anaximander’s apeiron. Characterized as a kind of intermediate stuff, the apeiron turns out to consist of contraries and as such is impossible. Commentators have rightly noted this point and some have also indicated that Aristotle offers an argument of sorts for his negative estimate. However, the argument has received scant attention, and it is fair to say that it remains unclear exactly why Aristotle rejects Anaximander’s (...) intermediate stuff. Indeed, it is unclear how Aristotle’s argument is supposed to run in the first place. This paper offers a reconstruction of Aristotle’s argument for the impossibility of the apeiron, and on this basis offers to explain Aristotle’s grounds for rejecting Anaximander’s intermediate stuff. This is especially called for in light of the fact that Aristotle himself thinks that there can be intermediate stuffs. Finally, some attention is given to the parallel between the apeiron and Aristotle’s prime matter. (shrink)

An overview of contemporary part-whole theories, with reference to both their axiomatic developments and their philosophical underpinnings.