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  1. (1 other version)Cantor, Choice, and Paradox.Nicholas DiBella - 2024 - Philosophical Review 133 (3):223-263.
    This article proposes a revision of Cantor’s account of set size that understands comparisons of set size fundamentally in terms of surjections rather than injections. This revised account is equivalent to Cantor’s account if the axiom of choice is true, but its consequences differ from those of Cantor’s if the axiom of choice is false. This article argues that the revised account is an intuitive generalization of Cantor’s account, blocks paradoxes—most notably, that a set can be partitioned into a set (...)
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  • (1 other version)28 Reflection in Apophatic Mathematics and Theology.Neil Barton - 2024 - In Mirosław Szatkowski, Ontology of Divinity. Boston: De Gruyter. pp. 583-612.
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  • Ontology of Divinity.Mirosław Szatkowski (ed.) - 2024 - Boston: De Gruyter.
    This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...)
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