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...
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...
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...
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...
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...
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...