A possible world is given by the descriptive conditions we associate with it...
...There is no reason why we cannot stipulate that, in talking about what would have happened to Nixon in a certain counterfactual situation, we are talking about what would have happened to him...
Let's use some terms quasi-technically. Let's call something a rigid designator if in every possible world it designates the same object, a nonrigid or accidental designator if that is not the case. Of course we don't require that the objects exist in all possible worlds. Certainly Nixon might not have existed if his parents had not gotten married, in the normal course of things. When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.
Those who have argued that to make sense of the notion of rigid designator, we must antecedently make sense of 'criteria of transworld identity' have precisely reversed the cart and the horse; it is because we can refer (rigidly) to Nixon, and stipulate that we are speaking of what might have happened to him (under certain circumstances), that 'transworld identifications' are unproblematic in such cases.
...whether an object has the same property in all possible worlds depends not just on the object itself, but on how it is described...
What does Kripke mean when he says that objects and their names are "stipulated" in possible world's? Kind of confused about what he means by that. — Wallows
What does Kripke mean when he says that objects and their names are "stipulated" in possible world's? Kind of confused about what he means by that.
— Wallows
I'm not sure he says that. Objects, as far as I understand, according to Kripke are picked out of this world - by virtue of naming them - and posited in another set of circumstances. The other circumstances are stipulated. The other circumstances are possible worlds. — creativesoul
Still confused. Thanks anyway — Wallows
So, to stipulate something according to Kripke is to name something or give it a description? — Wallows
If I have it right, you are saying that the difference between a neo who moves pieces around at random, and a grandmaster, is purely subjective. — Banno
What we do not have to do is to work out if the person eating the eggs in that possible world is the same as the person eating cornflakes in the actual world. That they are the same is set in the specification: "What if I had eggs instead of cornflakes..."
And that's where those who think there is a problem of transworld identity (@frank ?) get it wrong, setting the cart before the horse. — Banno
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