A notion of rank in set theory without choice |
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| Authors: | GS Mendick JK Truss |
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| Institution: | (1) University of Leeds, School of Mathematics, Leeds LS2 9JT, U.K. e-mail: pmtjkt@amsta.leeds.ac.uk, GB |
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| Abstract: | Starting from the definition of `amorphous set' in set theory without the axiom of choice, we propose a notion of rank (which
will only make sense for, at most, the class of Dedekind finite sets), which is intended to be an analogue in this situation
of Morley rank in model theory.
Received: 22 September 2000 / Revised version: 14 May 2002 Published online: 19 December 2002
The research of the first author was supported by the SERC.
Mathematics Subject Classification (2000): 03E25
Key words or phrases: Rank – Degree – Amorphous |
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