What something is is not simply a question of its material constitution but of its relationship to other things as well. — darthbarracuda
This is a very important point. — aletheist
This is a very important point indeed. While trying to find out ways of explaining "top-down causation" to some friends of mine, this has come close to becoming my philosophical motto.
When this point is not sufficiently attended to, then the relation of
material constitution becomes liable to be confused with
numerical identity. But something can persist through time as the thing it is (and remain the same individual) while gaining and/or losing material parts. So, material constitution isn't identity. The statue isn't (or need not be) the lump of bronze that it is made of since it can be destroyed while, at the same time, the lump of bronze persists. Likewise, a ship isn't (or need not be) the set of planks that make it up -- even with the qualification that the planks remain suitably arranged so as to preserve its function -- since the ship can persist through the replacement of some (or even all) of its planks.
Those considerations, though, only partially solve the paradox of the ship of Theseus. I owe the fuller illumination of this problem to Peter Simons (
Parts: A Study in Ontology, OUP 1995/2000) and David Wiggins (
Sameness and Substance Renewed, Cambridge University Press, 2001)
The trouble with the standard telling of the story of the ship of Theseus is that, while it makes explicit the issue of the relationship of "the ship" with its parts, it obscures the fact that there are actually two different contenders for being the object singled out as "the ship" (since "ship" signifies two different
sortal concepts with incompatible persistence and identification criteria associated to them, as explained below); and both of them metaphysically relate to their parts in different ways thus pulling our intuitions regarding the persistence and identity conditions of this (ambiguously named) object in two different directions.
There is first the
historical artifact -- some sort of a relic -- that we may think of as "the ship of Theseus" and which is such that we
do care very much about its retaining at least some -- and maybe most -- of its original constituents. Else, at some point in time, it ceased to be what it was
qua historical artifact (or relic). The same is true of most works of arts, such as a Picasso painting say, where we do care that the canvas, or paint, not be replaced even as the form might be maintained.
And then, secondly, there is the functional artifact -- the seafaring vessel -- that retains its identity through carrying forward its function (through maintenance and repair, etc.) This object is not the same thing that we previously named "the ship of Theseus", though nothing prevents us from giving it the same name, just as two different men can be called "Peter". The crucial thing is that, whatever name we give "it", the "it" that is at issue very much depends on the way "it" (and the sets of its material parts) not only hang together, functionally, but the way in which "it" (and the relevant function) relates to our pragmatic interests. Since nothing stands in the way of our having simultaneous pragmatic interests in singling out more than one object -- e.g. an historical artifact
and a functional artifact -- then, it may occur that the original "ship of Theseus" (as singled out at the moment of its historical origin -- had material constituents that make up two different objects that merely happen to occupy the same space and share the same material constituants at that point in time but are liable to have divergent histories, spatial trajectories and material constituants some time in the future.
At the end of the story, there is one historical artifact that is identical to the original "ship of Theseus" (the historical artifact that
essentially originally belonged to Theseus) and another, different, functional artifact that is identical to the original functional artifact that we also want to name, misleadingly, "the ship of Theseus". This is the functional seafaring vessel that, as it happens, originally but non-essentially belonged to Theseus. Just as is the case for the statue of Hermes and the lump of bronze that materially constitute it at a time, those two "ships" (
qua historical artifact and
qua functional artifact) are two different objects.
(This accounts rests on David Wiggins's thesis of the
sortal dependence of identity, whereas the account earlier suggested by Wayfarer relies on the thesis of
relative identity, defended by Peter Geach. I think Wiggins's account accomplished what Geach's account seeks to achieve while eliminating its severe logical problems)