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Appears in Collections:Law and Philosophy Journal Articles
Peer Review Status: Refereed
Title: Abstraction and identity
Author(s): Cook, Roy T
Ebert, Philip
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Issue Date: Jun-2005
Date Deposited: 18-Mar-2013
Citation: Cook RT & Ebert P (2005) Abstraction and identity. Dialectica, 59 (2), pp. 121-139.
Abstract: In this paper we outline and discuss various solutions to a restricted, but we think, more interesting version of the infamous Caesar Problem. This restricted version, labelled the C-R Problem, occurs in contexts where we have two distinct abstraction principles and want to settle cross-sortal identity claims of the form. Both abstraction principles, however, are silent with regard to this identity - a special instance of the Caesar Problem. In what follows, we outline two distinct strategies to resolve the C-R problem. The first strategy decides such cross-abstraction identities in terms of whether or not the equivalence relations appearing on the right hand side of the abstraction principles are identical, while the second strategy settles such identities by appeal to the relevant equivalence classes. We then focus our discussion on the latter approach and offer three ways of implementing this strategy. Ultimately, we argue that this strategy fails, as each attempt to appeal to equivalence classes faces unsurmountable difficulties.
DOI Link: 10.1111/j.1746-8361.2005.1023.x
Rights: Publisher policy allows this work to be made available in this repository. Published in Dialectica, Volume 59, Issue 2, pages 121–139, June 2005 by the Editorial Board of dialectica and Blackwell Publishing. The original publication is available at DOI: 10.1111/j.1746-8361.2005.1023.x

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