JSYML
2002
13 years 11 months ago
2002
In this article we provide wellordering proofs for metapredicative systems of explicit mathematics and admissible set theory featuring suitable axioms about the Mahloness of the u...
JSYML
2002
13 years 11 months ago
2002
Fibring is recognized as one of the main mechanisms in combining logics, with great significance in the theory and applications of mathematical logic. However, an open challenge t...
JSYML
2002
13 years 11 months ago
2002
JSYML
2002
13 years 11 months ago
2002
Abstract. We extend Morley's Theorem to show that if a theory is -pcategorical for some uncountable cardinal , it is uncountably categorical. We then discuss -p-categoriticy a...
JSYML
2002
13 years 11 months ago
2002
We point out that a certain complex compact manifold constructed by Lieberman has the dimensional order property, and has U-rank different from Morley rank. We also give a suffici...
JSYML
2002
13 years 11 months ago
2002
A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...
JSYML
2002
13 years 11 months ago
2002
We show that Intuitionistic Open Induction iop is not closed under the rule DNS(1 ). This is established by constructing a Kripke model of iop+
JSYML
2002
13 years 11 months ago
2002
f orderings provide an abstract framework in which to study spaces of orderings of formally real fields. Spaces of orderings of finite chain length are well understood [9] [12]. Th...
JSYML
2002
13 years 11 months ago
2002
If T is a model complete theory with the strict order property, then the theory of the models of T with an automorphism has no model companion.
JSYML
2002
13 years 11 months ago
2002