S5, God, and Numbers

Res Cogitans 1 (1):63-78 (2010)
It has become somewhat ontologically fashionable for theists to embrace anti-realist views of abstract objects. I will argue that any theist who accepts the S5 ontological argument for the existence of God should also accept a parallel S5 ontological argument for the existence of abstract objects on pain of consistency. This is because the same ontological and modal inferences thought to demonstrate the existence of God can also be used to demonstrate the existence of numbers. I further argue that being ontologically consistent here might come at the price of being theologically unacceptable, as the argument for numbers would seem to vindicate a platonistic view of abstracta, and platonism is incompatible with the traditional concept of God. I conclude by suggesting what I see as the only way out of this dilemma, which is to embrace a view akin Augustine’s where abstracta exist “nowhere but in the very mind of the Creator.” Something like the Augustinian view of abstracta, therefore, can be seen as an indirect theological consequence of the S5 ontological argument for the existence of God.
Keywords Abstract Objects  Ontological Argument  Metaphysics  Philosophy of Mathematics  Conceptualism  Platonism
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index Translate to english
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 12,703
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA

No citations found.

Similar books and articles

Monthly downloads

Added to index


Total downloads

47 ( #40,677 of 1,413,163 )

Recent downloads (6 months)

3 ( #67,254 of 1,413,163 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.