Thin Objects 1st edition by Øystein Linnebo 0199641315 978-0199641314

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ISBN-10 ‏ : ‎ 0199641315

ISBN-13 ‏ : ‎ 978-0199641314

Author:   Øystein Linnebo

Are there objects that are “thin” in the sense that not very much is required for their existence? Frege famously thought so. He claimed that the equinumerosity of the knives and the forks suffices for there to be objects such as the number of knives and the number of forks, and for these objects to be identical. The idea of thin objects holds great philosophical promise but has proved hard to explicate. Oystein Linnebo aims to do so by drawing on some Fregean ideas. First, to be an object is to be a possible referent of a singular term. Second, singular reference can be achieved by providing a criterion of identity for the would-be referent. The second idea enables a form of easy reference and thus, via the first idea, also a form of easy being. Paradox is avoided by imposing a predicativity restriction on the criteria of identity. But the abstraction based on a criterion of identity may result in an expanded domain. By iterating such expansions, a powerful account of dynamic abstraction is developed.

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Tags: Thin Objects, Øystein Linnebo, their existence, equinumerosity