Thus, a body is such an entity that, if one posits a longitude on it, another longitude will be found intersecting it at a right angle, and a third longitude of these two lengths will stand as a perpendicular on the point of the previous intersection. Whatever can be placed under these three magnitudes in the aforesaid manner and is also a substance is called a body ... But that which is in a body, such as length, width, and depth, is known to exist not in the form of the body, but as an accident to it. For instance, one can take a piece of wax and elongate it to make it one hand longer, two fingers wider, one finger deeper. Thereafter one can modify it so that its length width and depth vary. Under such circumstances its bodily form will always persist, whereas these three dimensions do not persist. Thus, these three dimensions are accidents to the wax, while its form is another attribute. Bodies differ not with respect to form because, by belonging to one kind of category, all bodies are identical with respect to the possibility of being described by these three dimensions in the aforesaid manner.In a famous passage of the Second Meditation, Descartes asks us to consider a piece of wax melting on a stove. According to Descartes, as the wax undergoes this process of melting, every feature of the wax detectable by the senses changes, but the wax continues to exist. At this stage in the Meditations, we are still in doubt about whether the wax really exists. However, whether it exists or not, Descartes argues, the fact that I am capable of thinking of the wax as persisting through these changes shows that I have a concept of the wax itself which cannot be identified with anything revealed by the senses. Descartes ultimately argues that this conception of the wax itself is nothing but the concept of extended substance, i.e., of a thing which has some length, width, and breadth or other. This notion is linked to geometry, a science undertaken by the pure intellect and not by the senses.The Metaphysica of Avicenna (ibn Sīnā), tr. Morewedge (1973), ch. 4
For Descartes, this argument is a step on the way to a defence of mechanism, the thesis that bodies have no intrinsic features other than the modes of extension (ways of being extended) and interact only by collision.1
Ibn Sīnā's discussion of the nature of body at the beginning of Metaphysica2 is, in a number of respects, interesting to set alongside Descartes. It is not so surprising that ibn Sīnā and Descartes both make the argument for distinguishing a substance from its modes/accidents by treating the substance as that which persists through a change in the accidents—presumably they both got this from Aristotle's Categories. It is more striking that ibn Sīnā, like Descartes, uses a piece of wax as his example. It would be interesting to trace the chain of influence here. Morewedge (the translator) notes some sort of similar uses in Plato's Theatetus and Aristotle's Physics. To me, however, the most interesting feature of the discussion is that ibn Sīnā, like Descartes, holds that extension alone constitutes the essence/nature/form of body. Furthermore, ibn Sīnā goes on to argue that this form is identical with the body itself:
the substratum of a material form is not an actuality without a material form. It is an actual substance due to the material form. In reality, therefore, the material form is the substance ... Furthermore, the material substratum is by itself not a thing without a material form. It is impossible for reason to understand the description of the substance without this necessary accident. (ch. 8)
However, despite this robust agreement on foundational issues regarding the nature of body, ibn Sīnā does not turn out to be a mechanist, and this reveals that Descartes needs an additional premise which is much less explicit in Meditations than his claims about the nature of body. Ibn Sīnā avoids drawing the mechanist conclusion because he accepts the Aristotelian doctrine of real accidents distinct from, but residing in and depending on, the substance:
If we suppose that quality, such as whiteness or blackness ... stood by itself, and did not depend on anything else, and did not partake of division, then neither blackness nor whiteness could exist ... A body is that which is divisible since this receptivity to division is the meaning of a body. Hence, it can be both white and black (i.e. at different times it can contain contrary characteristics).3 The peculiarity of whiteness or blackness is different from the meaning of being a body, which admits no contrary. Being black is something other than being receptive to divisibility. Whereas being receptive to divisibility is the mark of a body, blackness is nothing but blackness itself. Consequently, blackness is dependent on the body, not independent of the body. (ch. 10)
(Cross-posted at The Mod Squad.)
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Great post, very interesting and informative contrast. I was wondering if you could say a bit more about this "principle of intelligibility" in Descartes. In particular, what it mean for there to be "an intelligible relation between the nature of a substance and its modes/accidents." Does the Aristotelian relation of inherence not count, or does "intelligible relation" mean something more specific? Also, what would you take to be the difference -- if any -- between Leibniz's principle of intelligibility and Descates'?
Posted by: Roland at December 14, 2018 4:17 PMHi Roland,
The key item here is the relation between the NATURE of the substance and its modes. Descartes's view is that every substance is identical with its principal attribute (which is to say its nature), and in the created world there are just two principal attributes, thought and extension. Thinking substances (minds/spirits) can possess, as intrinsic properties, only modes of thought; extended substances (bodies) may possess only modes of extension. A mode of thought is a way of thinking, and a mode of extension is a way of being extended. So, for instance, being round is a way of being extended, while thinking about roundness is a way of thinking. But being red is not a way of being extended, since it's not a geometrical property. Aristotelian inherence is not related to the nature of the particular substance in this way—that is, it allows substances to have accidents that are totally unrelated to their nature.
I think Leibniz's principle of intelligibility is the same as Descartes's, but he disagrees with Descartes on the nature of both mind and body. In Leibniz's view, the nature of extension is to be the diffusion of something, you can't just have space being taken up without something that has some independently specifiable nature taking it up. For Leibniz, this independent nature is force. Leibniz's concept of force is rather difficult to interpret, because the concept plays roles in both physics and metaphysics, and he makes several distinctions of different kinds of force. Leibniz would probably agree that the nature of mind is thought, but unlike Descartes he thinks that unconscious thought is possible.
Posted by: Kenny Pearce at December 14, 2018 4:35 PMThat the key point of difference is the doctrine of real accidents seems to fit very well with Descartes's discussions of gravitas in the Sixth Replies and the letters to Princess Elisabeth.
Posted by: Brandon at December 17, 2018 7:02 AM