Quantum superposition justified in a new non-aristotelian finitary logic

Abstract
A new non-Aristotelian finitary logic (NAFL) is proposed in which it is postulated that the truth or falseness of an undecidable proposition in a theory T is meaningful only when asserted axiomatically; there is no truth other than axiomatic truth. It is shown that under this hypothesis, the law of the excluded middle and the law of non-contradiction for such undecidable propositions must fail to be theorems of T. The phenomenon of quantum superposition is thus explained in NAFL. It is also shown that infinite sets cannot exist in any consistent theory of NAFL, which makes it a very restrictive logic. Implications for some modern mathematical and physical theories are analyzed from the point of view of NAFL.
Keywords No keywords specified (fix it)
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
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,365
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
Analytics

Monthly downloads

Sorry, there are not enough data points to plot this chart.

Added to index

2009-01-28

Total downloads

0

Recent downloads (6 months)

0

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.