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  1. Identifying Finite Cardinal Abstracts.Sean C. Ebels-Duggan - 2021 - Philosophical Studies 178 (5):1603-1630.
    Objects appear to fall into different sorts, each with their own criteria for identity. This raises the question of whether sorts overlap.ionists about numbers—those who think natural numbers are objects characterized by abstraction principles—face an acute version of this problem. Many abstraction principles appear to characterize the natural numbers. If each abstraction principle determines its own sort, then there is no single subject-matter of arithmetic—there are too many numbers. That is, unless objects can belong to more than one sort. But (...)
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