Matrix-based logic for application in physics

Review of Symbolic Logic 2 (1):132-163 (2009)
Abstract
The paper offers a matrix-based logic (relevant matrix quantum physics) for propositions which seems suitable as an underlying logic for empirical sciences and especially for quantum physics. This logic is motivated by two criteria which serve to clean derivations of classical logic from superfluous redundancies and uninformative complexities. It distinguishes those valid derivations (inferences) of classical logic which contain superfluous redundancies and complexities and are in this sense from those which are or in the sense of allowing only the most informative consequences in the derivations. The latter derivations are strictly valid in RMQ, whereas the former are only materially valid. RMQ is a decidable matrix calculus which possesses a semantics and has the finite model property. It is shown in the paper how RMQ by its strictly valid derivations can avoid the difficulties with commensurability, distributivity, and Bell's inequalities when it is applied to quantum physics
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1017/S1755020309090169
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: 19,950
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
Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..

View all 21 references / Add more references

Citations of this work BETA
Lloyd Humberstone (2014). Prior’s OIC Nonconservativity Example Revisited. Journal of Applied Non-Classical Logics 24 (3):209-235.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-05-29

Total downloads

27 ( #140,679 of 1,792,063 )

Recent downloads (6 months)

1 ( #463,566 of 1,792,063 )

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.