Abstraction and Identity

Abstraction and Identity
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抽象与同一性

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
P. Ebert
P. Ebert
中科院分区:
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文献类型:
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作者:
R. Cook;P. Ebert

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并希望解决形式的跨类别同一性主张:然而,这两个抽象原则对这种同一性都是沉默的--凯撒问题的一个特殊例子。在下文中,我们概述了两种不同的策略来解决C-R问题。第一种策略决定这种交叉抽象的身份方面是否出现在右手边的抽象原则的等价关系是相同的,而第二种策略解决这些身份的呼吁相关的等价类。然后,我们集中讨论后一种方法,并提供三种方法来实现这一战略。最后,我们认为,这种策略失败了,因为每一个试图呼吁等价类面临着无法克服的困难。
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 implement- ing this strategy. Ultimately, we argue that this strategy fails, as each attempt to appeal to equivalence classes faces unsurmountable difficulties.