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Ideas for 'Mahaprajnaparamitashastra', 'Varieties of Things' and 'Distinct Indiscernibles and the Bundle Theory'

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4 ideas

9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
     Full Idea: If nothing existed except two electrons, which are indiscernible, it remains possible that differences will emerge later. Even if this universe has eternal symmetry, such differences are still logically, metaphysically, physically and causally possible.
     From: Dean W. Zimmerman (Distinct Indiscernibles and the Bundle Theory [1997], p.306)
     A reaction: The question then is whether the two electrons have hidden properties that make differences possible. Zimmerman assumes that 'laws' of an indeterministic kind will do the job. I doubt that. Can differences be discerned after the event?
Discernible differences at different times may just be in counterparts [Zimmerman,DW]
     Full Idea: Possible differences which may later become discernible could be treated as differences in a counterpart, which is similar to, but not identical with, the original object.
     From: Dean W. Zimmerman (Distinct Indiscernibles and the Bundle Theory [1997], p.307)
     A reaction: [compressed] This is a reply to Idea 10198, which implies that two things could never be indiscernible over time, because of their different possibilities. One must then decide issues about rigid designation and counterparts.
At different times Leibniz articulated three different versions of his so-called Law [Macdonald,C]
     Full Idea: There are three distinct versions of Leibniz's Law, all traced to remarks made by Leibniz: the Identity of Indiscernibles (same properties, same thing), the Indiscernibility of Identicals (same thing, same properties), and the Substitution Principle.
     From: Cynthia Macdonald (Varieties of Things [2005], Ch.2)
     A reaction: The best view seems to be to treat the second one as Leibniz's Law (and uncontroversially true), and the first one as being an interesting but dubious claim.
The Identity of Indiscernibles is false, because it is not necessarily true [Macdonald,C]
     Full Idea: One common argument to the conclusion that the Principle of the Identity of Indiscernibles is false is that it is not necessarily true.
     From: Cynthia Macdonald (Varieties of Things [2005], Ch.2 n32)
     A reaction: This sounds like a good argument. If you test the Principle with an example ('this butler is the murderer') then total identity does not seem to necessitate identity, though it strongly implies it (the butler may have a twin etc).