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JSYML
2002
63views more  JSYML 2002»
13 years 10 months ago
Wellordering Proofs for Metapredicative Mahlo
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...
Thomas Strahm
JSYML
2002
81views more  JSYML 2002»
13 years 10 months ago
Modulated Fibring and The Collapsing Problem
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...
Cristina Sernadas, João Rasga, Walter Alexa...
JSYML
2002
100views more  JSYML 2002»
13 years 10 months ago
Deconstructing Inner Model Theory
Ralf-Dieter Schindler, John R. Steel, Martin Zeman
JSYML
2002
78views more  JSYML 2002»
13 years 10 months ago
Some Results on Permutation Group Isomorphism and Categoricity
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...
Anand Pillay, Mark D. Schlatter
JSYML
2002
60views more  JSYML 2002»
13 years 10 months ago
Compact Complex Manifolds with The Dop and Other Properties
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...
Anand Pillay, Thomas Scanlon
JSYML
2002
78views more  JSYML 2002»
13 years 10 months ago
An Axiomatic Presentation of The Nonstandard Methods in Mathematics
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...
Mauro Di Nasso
JSYML
2002
75views more  JSYML 2002»
13 years 10 months ago
Some Weak Fragments of HA and Certain Closure Properties
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+
Morteza Moniri, Mojtaba Moniri
JSYML
2002
66views more  JSYML 2002»
13 years 10 months ago
Open Questions in The Theory of Spaces of Orderings
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...
Murray A. Marshall
JSYML
2002
66views more  JSYML 2002»
13 years 10 months ago
The Strict Order Property and Generic Automorphisms
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.
Hirotaka Kikyo, Saharon Shelah
JSYML
2002
67views more  JSYML 2002»
13 years 10 months ago
On Regular Reduced Products
Juliette Kennedy, Saharon Shelah