Questioning Gödel's Ontological Proof: Is Truth Positive?

Abstract
In his "Ontological proof", Kurt Gödel introduces the notion of a second-order value property, the positive property P. The second axiom of the proof states that for any property φ: If φ is positive, its negation is not positive, and vice versa. I put forward that this concept of positiveness leads into a paradox when we apply it to the following self-reflexive sentences: (A) The truth value of A is not positive; (B) The truth value of B is positive. Given axiom 2, sentences A and B paradoxically cannot be both true or both false, and it is also impossible that one of the sentences is true whereas the other is false.
Keywords ontological proof  ontological argument  positivity  paradox  truth  Gödel  Godel
Categories (categorize this paper)
Options
 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 Gregor Damschen, Questioning Gödel's Ontological Proof: Is Truth Positive?
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
Peter Milne (2007). On Gödel Sentences and What They Say. Philosophia Mathematica 15 (2):193-226.
Peter Milne (2007). On Gödel Sentences and What They Say. Philosophia Mathematica 15 (2):193-226.
M. Redhead (2004). Mathematics and the Mind. British Journal for the Philosophy of Science 55 (4):731-737.
A. P. Hazen (1998). On Gödel's Ontological Proof. Australasian Journal of Philosophy 76 (3):361 – 377.
Analytics

Monthly downloads

Added to index

2011-10-14

Total downloads

54 ( #28,640 of 1,098,796 )

Recent downloads (6 months)

9 ( #22,190 of 1,098,796 )

How can I increase my downloads?

My notes
Sign in to use this feature


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