Monadology

Andrew M. Cavallo

In 2020 I published a book entitled Gödel's God Theorem, named for the Gödel-Scott Ontological Argument or, as I refer to it in the book, the Gödel-Scott System (GSS). But as a matter of actual fact, the book showcases four interlinking Leibnizian arguments for the necessary and unique existence of God. I say "unique" because it is fairly easy to derive a monotheism theorem from GSS.

The four arguments in the book are as follows:

  1. GSS. A formalization of Leibniz's Ontological Argument (LOA) that axiomatizes a monadological notion of positiveness, where a positive property appears to be a conjunction of Leibnizian perfections.

  2. ◇-Cosmological Argument (◇CA). My streamlined version of Leibniz's Cosmological Argument (LCA).

  3. A Possible Worlds Argument (PWA). An ingenious little argument taken directly from Leibniz.

  4. A Diagonal Eternal Truths Argument (DETA). My own invention that combines, on the one hand, Cantorian diagonalization and Gödelian incompleteness and, on the other hand, Leibniz's Eternal Truths Argument.

This book has generated what I regard as fruitful confusion. Some assume, perhaps understandably, that these arguments have something to do with my faith as a Catholic. But that is not so! In fact, my faith is not the result of any argument. Theologically, I am closer to Nicholas of Cusa.

Philosophically, however, I remain deeply interested in monadology—not as Leibniz exegesis, but as a living project! Indeed, my book Gödel's God Theorem is nothing other than a journey into monadology! This page is accordingly simply a place to ramble even further about monadology! I hope to update it over time.

© Andrew M. Cavallo