The Divine Fractal: 1st Order Extensional Theology

Philosophia 50 (1):285-305 (2022)
  Copy   BIBTEX


In this paper, I present what I call the symmetry conception of God within 1st order, extensional, non-well-founded set theory. The symmetry conception comes in two versions. According to the first, God is that unique being that is universally symmetrical with respect to set membership. According to the second, God is the universally symmetrical set of all sets that are universally symmetrical with respect to set membership. I present a number of theorems, most importantly that any universally symmetrical set is identical to its essence, that show that the two symmetry conceptions intersect with some dominant theological conceptions of God. The theorems also show that both of the symmetry conceptions of God entail that God has a fractal like structure.



    Upload a copy of this work     Papers currently archived: 76,346

External links

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

Through your library

Similar books and articles

Extensional Scientific Realism vs. Intensional Scientific Realism.Seungbae Park - 2016 - Studies in History and Philosophy of Science Part A 59:46-52.
Extensionalizing Intensional Second-Order Logic.Jonathan Payne - 2015 - Notre Dame Journal of Formal Logic 56 (1):243-261.
Hybrid Extensional Prototype Compositionality.Jussi Jylkkä - 2011 - Minds and Machines 21 (1):41-56.
Nevyřešené slabiny extenzionalismu.Marta Vlasáková - 2008 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 15 (1):29-40.
The Broadest Necessity.Andrew Bacon - 2018 - Journal of Philosophical Logic 47 (5):733-783.
Analytic Rules for Mereology.Paolo Maffezioli - 2016 - Studia Logica 104 (1):79-114.
Self-Extensional Three-Valued Paraconsistent Logics.Arnon Avron - 2017 - Logica Universalis 11 (3):297-315.


Added to PP

4 (#1,239,723)

6 months
3 (#226,063)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Paul Studtmann
Davidson College

Citations of this work

No citations found.

Add more citations

References found in this work

The Nature of Necessity.Alvin Plantinga - 1974 - Oxford, England: Clarendon Press.
On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
On Denoting.Bertrand Russell - 2005 - Mind 114 (456):873 - 887.
On Denoting.Bertrand Russell - 1905 - Philosophical Review 15:346.
Free logic.John Nolt - 2021 - Stanford Encyclopedia of Philosophy.

View all 30 references / Add more references