13 search results - page 1 / 3 » A Note on Transitive Sets without the Foundation Axiom |
RML
2006
13 years 4 months ago
2006
We construct a model of set theory without the foundation axiom in which there exists a transitive set whose intersection is not transitive.
FSS
2007
13 years 4 months ago
2007
In the previous years some authors have been elaborating on the measurementtheoretic foundations of fuzzy set theory. A well-known problem in this approach is the difficult applic...
AML
2005
13 years 4 months ago
2005
It is proved that the forcing apparatus can be built and set to work in ZFCA (=ZFC minus foundation plus the antifoundation axiom AFA). The key tools for this construction are gre...
JAIR
2008
13 years 4 months ago
2008
Reasoning about agent preferences on a set of alternatives, and the aggregation of such preferences into some social ranking is a fundamental issue in reasoning about multi-agent ...
MLQ
2000
13 years 4 months ago
2000
In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to "Every set has the s...