Monads and Sets: On Gödel, Leibniz, and the Reflection Principle

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In Mark Atten (ed.), Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer. Cham: Springer Verlag. pp. 3-33 (2015)
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Abstract

Gödel once offered an argument for the general reflection principle in set theory that took the form of an analogy with Leibniz' Monadology. I discuss the mathematical and philosophical background to Gödel's argument, reconstruct the proposed analogy in detail, and argue that it has no justificatory force

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Mark van Atten
Centre National de la Recherche Scientifique

Citations of this work

32 Naming God’s Essence: Ineffability, Analogy and Set Theory.Claudio Ternullo - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 697-718.
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28 Reflection in Apophatic Mathematics and Theology.Neil Barton - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 583-612.

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