Essential Properties and Coinciding Objects

How can a parcel of matter, or collection of particles, simultaneously compose three different objects, characterized by different modal properties? If the statue is gouged it still exists, but not exactly that piece of gold which originally occupied the statue's borders, and the (mass of) gold within that piece can survive dispersal, while the piece cannot. The solution to this "problem of coinciding objects", this paper argues, is that there is, in that space, only the statue. The properties which the piece and the mass supposedly must have, to go on being, are not properties which anything can have necessarily or essentially. Not even having that origin can be essential. There is no object of which the statue is composed, though there are objects (viz., gold atoms) and a kind of stuff (viz., gold) of which it is composed.

Alexander’s Dictum and the Reality of Familiar Objects

Alexander's Dictum--"to be is to have causal powers"--appears to furnish an argument against the reality of familiar medium-sized objects. For every time a familiar object appears to cause a familiar macro-event, it sets up a rival claim by its component microparticles to have caused the complex swarm of microphysical events that composes into that macro-event. But this argument, argues this paper, wrongly assumes that even after familiar objects are removed from the picture, there is a phenomenon of joint causation which unites all and only the microparticles within each familiar object.

Compact Singlet S Helium Wave functions(corrected)

This is a corrected version of the Phys. Rev. A 74,14501 (2006) article. The result is improved slightly from that in the original paper.