Events and time in a finite and closed world

There are numerous occasions on which we need to reason about a finite number of events. And we often need to consider only those events which are given or which we perceive. These give rise to the Criteria of Finiteness and Closedness. Allen's logic provides a way of reasoning about events. In this paper I examine Allen and Hayes' axiomatisation of this logic, and develop two other axiomatisations based on the work by Russell and Thomason. I shall show that these three axiomatisations are weakly equivalent, and that only the last two meet the Criteria of Finiteness and Closedness (to different degrees). I shall then examine two ways of constructing instants of time in a finite and closed world, i.e. the Russell construction and the Thomason construction. I shall prove that these two constructions are equivalent under certain conditions
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/08066200050217968
 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
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,208
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.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
When Can Statistical Theories Be Causally Closed?Balazs Gyenis & Miklos Redei - 2004 - Foundations of Physics 34 (9):1285-1303.
Constructing Situations and Time.Tim Fernando - 2011 - Journal of Philosophical Logic 40 (3):371 - 396.
Free Construction of Time From Events.S. K. Thomason - 1989 - Journal of Philosophical Logic 18 (1):43 - 67.
Storage Operators and Directed Lambda-Calculus.René David & Karim Nour - 1995 - Journal of Symbolic Logic 60 (4):1054-1086.
Closed Causal Loops and the Bilking Argument.J. Ismael - 2003 - Synthese 136 (3):305 - 320.
Modal Logic Over Finite Structures.Eric Rosen - 1997 - Journal of Logic, Language and Information 6 (4):427-439.

Monthly downloads

Added to index


Total downloads

15 ( #312,718 of 2,164,296 )

Recent downloads (6 months)

1 ( #348,039 of 2,164,296 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums