T × W Completeness

Journal of Philosophical Logic 26 (3):241-250 (1997)
  Copy   BIBTEX

Abstract

T × W logic is a combination of tense and modal logic for worlds or histories with the same time order. It is the basis for logics of causation, agency and conditionals, and therefore an important tool for philosophical logic. Semantically it has been defined, among others, by R. H. Thomason. Using an operator expressing truth in all worlds, first discussed by C. M. Di Maio and A. Zanardo, an axiomatization is given and its completeness proved via D. Gabbay’s irreflexivity lemma. Given this lemma the proof is more or less straight forward. At the end an alternative axiomatization is sketched in which Di Maio’s and Zanardo’s operator is replaced by a version of “actually”

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Presuppositional completeness.Wojciech Buszkowski - 1989 - Studia Logica 48 (1):23 - 34.
Some kinds of modal completeness.J. F. A. K. Benthem - 1980 - Studia Logica 39 (2-3):125 - 141.
The importance of physicalism in the philosophy of religion.Leonard Angel - 2010 - International Journal for Philosophy of Religion 67 (3):141 - 156.
Jarrett Completeness and Superluminal Signals.Frederick M. Kronz - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:227-239.
Mental causation in a physical world.Eric Marcus - 2005 - Philosophical Studies 122 (1):27-50.
Undecidability and intuitionistic incompleteness.D. C. McCarty - 1996 - Journal of Philosophical Logic 25 (5):559 - 565.
Completeness and indeterministic causation.Scott Devito - 1996 - Philosophy of Science 63 (3):184.

Analytics

Added to PP
2009-01-28

Downloads
52 (#272,957)

6 months
4 (#319,344)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Temporal logic and its application to normative reasoning.Emiliano Lorini - 2013 - Journal of Applied Non-Classical Logics 23 (4):372-399.
Combinations of tense and modality for predicate logic.Stefan Wölfl - 1999 - Journal of Philosophical Logic 28 (4):371-398.
Temporal alethic–deontic logic and semantic tableaux.Daniel Rönnedal - 2012 - Journal of Applied Logic 10 (3):219-237.
A Gabbay-Rule Free Axiomatization of T x W Validity.Maria Concetta Di Maio & Alberto Zanardo - 1998 - Journal of Philosophical Logic 27 (5):435 - 487.

View all 13 citations / Add more citations

References found in this work

Handbook of Philosophical Logic.D. M. Gabbay & F. Guenthner - 2007 - Bulletin of Symbolic Logic 13 (2):248-250.
A finite axiomatization of the set of strongly valid ockhamist formulas.Alberto Zanardo - 1985 - Journal of Philosophical Logic 14 (4):447 - 468.
Causation.Franz Kutschera - 1993 - Journal of Philosophical Logic 22 (6):563-588.

Add more references