We introduce a deductive system Bal which models the logic of balance of opposing forces or of balance between conflicting evidence or influences. "Truth values" are int...
Using a slight generalization, due to Palmgren, of sheaf semantics, we present a term-model construction that assigns a model to any first-order intuitionistic theory. A modificat...
The Wholeness Axiom (WA) is an axiom schema that can be added to the axioms of ZFC in an extended language {, j}, and that asserts the existence of a nontrivial elementary embeddin...
We study a local version of the order property in several frameworks, with an emphasis on frameworks where the compactness theorem fails: (1) Inside a fixed model, (2) for classes ...
The paper studies a domain theoretical notion of primitive recursion over partial sequences in the context of Scott domains. Based on a non-monotone coding of partial sequences, t...