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

&
In Robert Tragesser, Mark van Atten & Mark Atten (eds.), Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer. Cham: Springer Verlag. pp. 3-33 (2015)
  Copy   BIBTEX

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

Categories

Keywords

Reprint years

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,150

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Monads and sets: on Leibniz, Gödel, and the reflection principle.Mark Van Atten - unknown
Monads and Mathematics: Gödel and Husserl.Richard Tieszen - 2012 - Axiomathes 22 (1):31-52.
Leibniz's Monad and Mulla Sadra's Hierarchy of Being.Ali Fathtaheri - 2008 - Proceedings of the Xxii World Congress of Philosophy 8:93-100.
Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer.Robert Tragesser, Mark van Atten & Mark Atten (eds.) - 2015 - Cham: Springer Verlag.
Learning from Leibniz: Whitehead (and Russell) on Mind, Matter and Monads.Pierfrancesco Basile - 2015 - British Journal for the History of Philosophy 23 (6):1128-1149.
Leibniz on Time and Substance.Michael Futch - 2006 - Idealistic Studies 36 (2):109-122.
Gödel’s Dialectica Interpretation and Leibniz.Mark van Atten & Mark Atten - 2015 - In Robert Tragesser, Mark van Atten & Mark Atten (eds.), Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer. Cham: Springer Verlag.
An informational interpretation of monadology.Soshichi Uchii - unknown
First-order Gödel logics.Richard Zach, Matthias Baaz & Norbert Preining - 2007 - Annals of Pure and Applied Logic 147 (1):23-47.
Harmonizing Leibniz’s Ontology.Andrew D. H. Stumpf - 2012 - Dialogue 51 (3):467-483.
Harmonizing Leibniz’s Ontology.Andrew D. H. Stumpf - 2012 - Dialogue 51 (3):467-483.
A Non-factualist defense of the Reflection principle.Stephanie Beardman - 2013 - Synthese 190 (15):2981-2999.
Leibniz’s Final System.Philip Beeley - 2006 - The Leibniz Review:187-197.
Gödel and Intuitionism.Mark van Atten & Mark Atten - 2015 - In Robert Tragesser, Mark van Atten & Mark Atten (eds.), Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer. Cham: Springer Verlag.
Leibniz and Monadic Domination.Shane Duarte - 2013 - Oxford Studies in Early Modern Philosophy 6:209-48.

Analytics

Added to PP
2013-05-07

Downloads
33 (#486,231)

6 months
7 (#436,298)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Mark van Atten
Centre National de la Recherche Scientifique

Citations of this work

A Note on Leibniz's Argument Against Infinite Wholes.Mark van Atten - 2011 - British Journal for the History of Philosophy 19 (1):121-129.
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.
28 Reflection in Apophatic Mathematics and Theology.Neil Barton - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 583-612.

Add more citations

References found in this work

No references found.

Add more references