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  1. Number Theory and Infinity Without Mathematics.Uri Nodelman & Edward N. Zalta - 2024 - Journal of Philosophical Logic 53 (5):1161-1197.
    We address the following questions in this paper: (1) Which set or number existence axioms are needed to prove the theorems of ‘ordinary’ mathematics? (2) How should Frege’s theory of numbers be adapted so that it works in a modal setting, so that the fact that equivalence classes of equinumerous properties vary from world to world won’t give rise to different numbers at different worlds? (3) Can one reconstruct Frege’s theory of numbers in a non-modal setting without mathematical primitives such (...)
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