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Set theoretic foundations for a theory of human memory

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Commentary on Michael S.Humphreys, JanetWiles, and SimonDennis (1994) Toward a theory of human memory: Data structures and access processes. BBS 17:655–692.

Published online by Cambridge University Press:  19 May 2011

Hans Colonius
Hans Colonius
Affiliation:
Universitaet Oldenburg, Institut tuer Kognitionsforschung, D-26111 Oldenburg, Germany, colonius@psychologle.unl-oldenburg.de
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Abstract

A formal language to implement a computational-level theory of memory cannot be based on standard (Zermelo-Fraenkel) set theory. For correct models of a memory database to exist, non-well-founded sets must be permitted. This is illustrated by modifying an example from Barwise & Moss (1991).

Information

Type
Continuing Commentary
Information
Behavioral and Brain Sciences , Volume 19 , Special Issue 3 , September 1996, pp. 559
Copyright
Copyright © Cambridge University Press 1996

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References

Aczel, P. (1988) Non-well-founded sets. CSLI Lecture Notes. University of Chicago Press. [HC]Google Scholar
Barwise, J. & Moss, L. (1991) Hypersets. The Mathematical Intelligencer 13: 31–41. [SD, HC]CrossRefGoogle Scholar
Fraenkel, A. A. (1961) Abstract set theory. North Holland. [HC]Google Scholar
Humphreys, M. S., Wiles, Janet, and Dennis, Simon (1994) Toward a theory of human memory: Data structure and access processes. Behavioral and Brain Sciences 17: 655–692. [SD, HC]CrossRefGoogle Scholar
Marr, D. (1982) Vision. W. H. Freeman. [HC]Google Scholar