Finding an intrinsic account of identity: What is the source of duplication cases?

Abstract The idea that identity across time should be grounding only in 'intrinsic' features - that, as Williams and Wiggins put it, whether a at t1 is the same as b at t2 should depend on 'only A and B' (and relations between them) and not on some C - is extremely intuitive, and traditional 'continuity under a sortal' accounts standardly fit the bill. But the phenomena of fission and fussion make it very difficult to give such an account,and many have been drawn by 'best candidate' or 'closest continuer' views - both *extrinsic* accounts - to handle such problems. I first argue that the most obvious sort of solution - one that requires the sharing of at least 50% of a thing's matter between adjacent time - is inadequate, and then give my own, more complicated account, which is grounded in an attempt to diagnose what makes it possible for there to be 'duplication cases' which hound intrinsic accounts.
Keywords persistence, identity, intrinsicness, best candidate approach, fission, fusion, duplication
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