I think James’ note is too quick. For what sort of ontological containment is at play here? Clearly many sorts of containment, such that A contains B, don’t support the inference that P(A) if P(B) for just any property P. Consider mereological containment, where A contains B just if B is a part (or perhaps proper part) of A. A very large clock tower — Big Ben, say — has many proper parts less than 1′ tall. But it doesn’t begin to follow that the same goes for Big Ben; it doesn’t follow that Big Ben, too, is less than 1′ tall.

Much the same goes for spatial containment, which James’ himself seems to dismiss as a relevent sort of ontological containment. My carton of non-fat milk and the refrigerator in which it’s contained have, among other things, very different dimensions and construction. Further, the milk can have soured and yet it still be false that the same goes for the refrigerator.

Perhaps, then, the relevant notion of ontological containment is that displayed by sets and their members. But this, too, won’t do, for of course while 7 is prime, then same can’t properly be said of (e.g.) the set of natural numbers of which 7 is a member.

Of course there’s much more to be said here. No doubt there are other notions of ontological containment which will support the general inference above, as well as (otherwise) faithfully capturing what the panentheist means to assert. Or perhaps we need to look more closely into relevant types of property; perhaps there are properties of some type, such that any property of that type does apply to the container if they apply to the contained item.

These are useful comments that raise some important issues. Here are some thoughts in response: