What Is Wrong with Abstraction?

Philosophia Mathematica 13 (2):187-193 (2005)
We correct a misunderstanding by Hale and Wright of an objection we raised earlier to their abstractionist programme for rehabilitating logicism in the foundations of mathematics
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DOI 10.1093/philmat/nki025
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Jonathan Payne (2013). Abstraction Relations Need Not Be Reflexive. Thought: A Journal of Philosophy 2 (2):137-147.

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Similar books and articles
Peter Sullivan (2005). What is Wrong with Abstraction? Philosophia Mathematica 13 (2):187--93.
Peter Sullivan & Michael Potter (1997). Hale on Caesar. Philosophia Mathematica 5 (2):135--52.
Michael Potter & Timothy Smiley (2001). Abstraction by Recarving. Proceedings of the Aristotelian Society 101 (3):327–338.
Bob Hale & Crispin Wright (2009). The Metaontology of Abstraction. In David John Chalmers, David Manley & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press
Bob Hale (2001). A Response to Potter and Smiley: Abstraction by Recarving. Proceedings of the Aristotelian Society 101 (3):339–358.

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