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  1. Jukka Keränen (2006). The Identity Problem for Realist Structuralism II : A Reply to Shapiro. In Fraser MacBride (ed.), Identity and Modality. Oxford University Press. 146--163.
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  2. Jukka Keränen (2005). A Structural Account of Mathematics. International Philosophical Quarterly 45 (1):129-131.
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  3. Jukka Keränen & Wesley Salmon (2005). Explanatoriness: Cause Versus Craig. Synthese 143 (1-2):125 - 147.
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  4. Jukka Keränen (2001). The Identity Problem for Realist Structuralism. Philosophia Mathematica 9 (3):308--30.
    According to realist structuralism, mathematical objects are places in abstract structures. We argue that in spite of its many attractions, realist structuralism must be rejected. For, first, mathematical structures typically contain intra-structurally indiscernible places. Second, any account of place-identity available to the realist structuralist entails that intra-structurally indiscernible places are identical. Since for her mathematical singular terms denote places in structures, she would have to say, for example, that 1 = –1 in the group (Z, +). We call this the (...)
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