Philosophy Lexicon of Arguments

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Identity: Two objects are never identical. Identity is a single object, to which may be referred to with two different terms. The fact that two descriptions mean a single object may be discovered only in the course of an investigation.

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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
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I 14
Vague identity/Stalnaker: can at most occur with vague terms at identity-statements - solution/counterpart theory/c.t./Stalnaker: if cross-wordly-relation between classes of deputies ((s) counterparts) exists and not between individuals themselves, then the relation must not be the one of identity, and this other relation may be vague.)
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I 126
Contingent identity/Stalnaker: it is of course not that the actualism requires contingent identity, the above examples can be explained away - one cannot simply reject the possibility on the basis of semantics and logic of identity - necessary identity: that means, that the thesis that all identity is necessary is a metaphysical thesis.
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I 131
Identity/necessary/contingent/Stalnaker: after modal quantifier theory all identity is necessary. - We do not want this - e.g. a thing can have more counterparts in another possible world.
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I 132
Solution: different ways of picking.
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I 133
Vague identity/Stalnaker/Nathan SalmonVs vague identity: (Salmon 1981, 243) according to him identity cannot be vague: E.g. Suppose there is a pair of entities x and y so that it is vague if they are one and the same thing - then this pair is certainly not the same pair like the pair, in which this is definitely true that x is the same thing as itself - but it is not vague, if the two pairs are identical or differentiated.
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I 134
Vague identity/Identity-statement/vague objects/Stalnaker: E.g. M is a specific piece of land within the indeterminate Mt Rainier - a) Mt. Rainier is an indefinite object: then it is wrong to say that M = Mt. Rainier - b ) if it is about a statement instead of an object: then indeterminate.
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I 135f
Vague identity/Stalnaker: E.g. two fish restaurants Bookbinder's - only one can be the same as the original - Endurantism: Problem: "B0": (the original) is then an ambiguous term - Perdurantism: here it is clear.
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I 138
Vague identity/SalmonVs vague identity/uncertainty/Stalnaker: Salmon's argument shows that if we manage to pick out two entities a and b that there then has to be a fact, whether the two are one thing or two. (Stalnaker pro Salmon, Nathan) - conversely: if it is undetermined whether a = b, then it is uncertain what "a" refers to or what "b" refers to. - But this does not give us a reason to suppose that facts together with terms have to decide this. - Salmon just shows that when facts and terms do not decide that it is then indeterminate.
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I 140
StalnakerVsSalmon: its vagueness is a vagueness of reference.
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I 139
Identity/indefinite/Kripke: (1971, 50-1) E.g. would the table T be the same in the actual world if in the past the constituting molecules were spread a little differently? - Here, the answer can be vague.
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I 148
Identity/one-digit predicates/Stalnaker: one cannot generally treat sentences as predications. E.g. x^(Hx u Gx) is an instance of the form Fs, but "(Hs and Gs)" not. - ((s)> apply) - Therefore, our identity-scheme is more limited than Leibnizs' law is normally formulated.
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I 154f
Definition essential identity/Stalnaker: all things x and y, which are identical, are essentially identical - i.e. identical in all possible worlds, in which this thing exists - ((s) that means, the existence is made a prerequisite, not the identity for the existence.) - ((s) necessary identity/Stalnaker/(s): here the situation is reversed: if x and y are necessarily identical, they must exist in all possible worlds - or if a thing does not exist in a possible world, it may, in the possible worlds in which it exists, not be necessarily identical) - necessary identity/logical form:. x^(x = y)> N(x = y) - fails in the standard semantics and in counterpart theory, because a thing can exist contingently and include self-identity existence - two different things may be identical, without being essentially identical. - E.g. two possible worlds a and b, each possible for the respective other, and two distinct things have the same counterpart in b, namely 3 - then the pair satisfies the identity-relation in b, but because 1 exists in the world a and is from 2 different, the pair does not satisfy N(Ex> x = y) in b.


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

Sta I
R. Stalnaker
Ways a World may be Oxford New York 2003


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Ed. Martin Schulz, access date 2017-11-19