Two models of unawareness: comparing the object-based and the subjective-state-space approaches |
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Authors: | Board Oliver J. Chung Kim-Sau Schipper Burkhard C. |
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Affiliation: | (1) Philosophy, School of Social Sciences, University of Manchester, Arthur Lewis Building, Oxford Road, Manchester, M13 9PL, UK |
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Abstract: | This article attempts to motivate a new approach to anti-realism (or nominalism) in the philosophy of mathematics. I will explore the strongest challenges to anti-realism, based on sympathetic interpretations of our intuitions that appear to support realism. I will argue that the current anti-realistic philosophies have not yet met these challenges, and that is why they cannot convince realists. Then, I will introduce a research project for a new, truly naturalistic, and completely scientific approach to philosophy of mathematics. It belongs to anti-realism, but can meet those challenges and can perhaps convince some realists, at least those who are also naturalists. |
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