Re: reference on Paul Aczel and hypersets

Bruce Edmonds (B.Edmonds@MMU.AC.UK)
Fri, 25 Aug 1995 09:26:46 GMT


> The only reference I've been able to find on Paul Aczel (so far) is
>
> Aczel, P. (1988). Non-Well-Founded Sets. CSLI Lecture Notes, Palo
> Alto.

I have a similar reference but adds that it is No.14 and published at
Stanford, CA. (CSLI = Centre for the Study of Language and
Information).

The original reference is: ANTI-FOUNDATION AXIOMS FOR SET-THEORY,
ACZEL_P, JOURNAL OF SYMBOLIC LOGIC, 1985, Vol.50, No.4, p.1094

Also you might find the following useful/interesting/more accessible:

Barwise, J; Moss, L; "Hypersets", Mathematical Intelligencer 13:
31-41, 1991.

D. Perlis; "Commonsense Set theory", in Meta-level Architectures and
Reflection, P. Maes; D. NArdi (eds), Elsevier, Amsterdam, 1988.

Akman,V; Pakkan,M (1994): Nonstandard Set Theories and Information
Management. Obtainable by ftp from ftp://cs.bilkent.edu.tr/ - Proposes
non-standard
set-theory as a tool for modelling complex (= non-hierarchical)
information. Also some other papers on similar matters there.

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