Bounds to Memory Loss

Theory and Decision 46 (1):1-21 (1999)
  Copy   BIBTEX

Abstract

If we express our knowledge in sentences, we will find that these sentences are linked in complex patterns governed by our observations and our inferences from these observations. These inferences are to a large extent driven by logical rules. We ask whether the structure logic imposes on our knowledge restricts what we forget and what we remember. The model is a two period S5 logic. In this logic, we propose a memory loss operator: the agent forgets a sentence pif and only if he knows pat time 1 and he does not know pat time 2. Equipped with the operator, we prove theorems on the relation between knowledge and memory loss. The main results point to classes of formulas that an agent cannot forget, and classes of formulas he must forget. A desirable feature is that most results hold in the S4 logic. The results illustrate bounds to memory loss, and thus to bounded rationality. We apply the model to single-agent conventions: conventions made between an agent and himself

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

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

Rationality and the structure of memory.Christopher Cherniak - 1983 - Synthese 57 (November):163-86.
A logic of strategic ability under bounded memory.Thomas Ågotnes & Dirk Walther - 2009 - Journal of Logic, Language and Information 18 (1):55-77.
To Remember Memory.Ella Buceniece - 2008 - Proceedings of the Xxii World Congress of Philosophy 21:15-24.
Temporal languages for epistemic programs.Joshua Sack - 2008 - Journal of Logic, Language and Information 17 (2):183-216.
The structure of time in autobiographical memory.John Campbell - 1997 - European Journal of Philosophy 5 (2):105-17.
Reasoning processes in propositional logic.Claes Strannegård, Simon Ulfsbäcker, David Hedqvist & Tommy Gärling - 2010 - Journal of Logic, Language and Information 19 (3):283-314.
Memory of Touch.Tahseen Béa - 2008 - International Studies in Philosophy Monograph Series:5-82.
The autonomy of psychology in the age of neuroscience.Ken Aizawa & Carl Gillet - 2011 - In Phyllis McKay Illari Federica Russo (ed.), Causality in the Sciences. Oxford University Press. pp. 202--223.
Reasoning About Truth in First-Order Logic.Claes Strannegård, Fredrik Engström, Abdul Rahim Nizamani & Lance Rips - 2013 - Journal of Logic, Language and Information 22 (1):115-137.

Analytics

Added to PP
2010-09-02

Downloads
60 (#239,984)

6 months
3 (#439,232)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
An introduction to modal logic.G. E. Hughes - 1968 - London,: Methuen. Edited by M. J. Cresswell.
Knowledge in Flux.Henry E. Kyburg & Peter Gardenfors - 1993 - Noûs 27 (4):519-521.
Philosophy of Logics.Susan Haack - 1980 - Mind 89 (354):303-306.

View all 12 references / Add more references