Van Inwagen’s account of composition is that
- the xs compose a whole if and only if their activity constitutes a life.
Here is a possible problem that just occurred to me. Let x1 be me and let x2 be one of my particles. Then x1 and x2 compose me.
Now when a plurality of things have an activity, that activity is a joint activity. However, just as it is ridiculous to say that I and my right leg have walking as a joint activity, it seems incorrect to say that I and my particle have a joint activity that constitutes a life. Thus, it seems incorrect to say that x1 and x2 have an activity that constitutes a life. Of course, x1 by itself has an activity ϕ that constitutes a life, and x2 participates in ϕ. But given that ϕ is the activity of x1 by itself, it seems incorrect to say that ϕ is a joint activity of x1 and x2.
One might try to define a more technical concept of engaging in an activity that implies that whenever x1 engages in an activity ϕ with the help of a part x2, that always counts as x1 and x2 engaging in ϕ. Here is an attempt:
- The xs engage in an activity ϕ if and only if each of the xs contributes to ϕ and together they accomplish all of ϕ.
But it seems wrong to say that I and my particle x2 together accomplish a life. That would once again sound like we have a joint activity, which we don’t.
This is better:
- The xs engage in an activity ϕ if and only if each of the xs contributes to ϕ and anything that is a part of something that contributes to ϕ overlaps one of the xs.
But this falls afoul of van Inwagen’s requirement that an answer to the special composition question make no reference to mereological concepts like parthood or overlap.
But perhaps I am needlessly fastidious about the use of language. Maybe I and my heart, or I and my topmost particle, do engage in life. We do sometimes use this locution about a government body: "x, with y at the helm, ϕed." Maybe if that's true, we can say that "x and y ϕed", despite y being a part of x. But it still sounds wrong.