Well, think of something like "water is H2O". According to Kripke, this is necessarily true. It doesn't make sense to consider a counterfactual world where water has some other chemical composition — Michael
I don't agree with Kripke on this, and his belief seems to stem from scientism that's at odds with ordinary usage. In ordinary usage 'water' likely denotes a qualitative kind not essentially bound to any chemical structure. In a context of chemistry in which we take ourselves to mean by 'water' some specific compound, that's different.
In other words, I don't in ordinary use see anything incoherent about supposing that water had a different chemical structure. But I do see something incoherent about supposing water is, say, qualitatively like zinc. That doesn't seem to make sense, since it would then lack the qualities that water has in virtue of being some qualitative kind.
And I believe andrewk's position is that the logic (or metaphysics) of identity is such that a counterfactual person sharing the identity of an actual person doesn't make sense. — Michael
The error is supposing that there is a such thing as 'an actual person' versus 'a counterfactual person.' This is so in some logics, like Lewis' counterpart logic, but the standard view is that there's simply individuals. There's no actual Obama and other Obama, such that we can ask 'are these two identical?' Rather there's just Obama – and we can ask of
him, that
one guy, what might have been if such-and-such.
Rid yourself of the notion of a 'counterfactual person.'
We might stipulate that, but the logic (or metaphysics) of identity might be such that such a stipulation is incoherent. I can stipulate that in some possible world triangles have four sides, or that the square root of 2 is a rational number, but then my stipulation is in error. — Michael
It might be, but I don't think it is. In the case of 'triangle,' this is a count noun, not a proper name, so it's different: I agree that properties are (albeit sometimes very loosely) essential for falling beneath the extension of a count noun. For example, I'd be hard pressed to suppose that something were a metal yet had no extension.
As for 2, it's not clear whether this is a sort of proper name or not. Suppose it is a proper name, and suppose it denotes a certain object, say the set {{}, {{}}}. Now, there's something about this set that makes its root irrational, and that'll hold regardless of what properties you assign to individuals in worlds. In other words, what varies from world to world in your model theory may be such that it is not modelable to have this set have a rational root relative to a world: the logic simply won't allow it.
You
can do this for a human being too, if you want. But I just think it doesn't reflect ordinary language use – we don't think of people as having many essential properties, even if some properties may be more or less conversationally relevant. It doesn't even sound totally absurd to me to say something like, 'If I were the number 2...' It's a bit mystical, a bit Pythagorean, but OK, so what? That only shows that the only time such a supposition is going to be workable is if we're weird Pythagoreans. But, you say, a person can't be a number! True, but that's not the point, for then I can just say that I am not essentially a person.
The point is that individuals are
treated as just being these sorts of pegs in ordinary language, for the non-logical cases. It's an interesting fact that we can do this in spite of metaphysical protestations to the contrary.