The Theory of Ultralogics Part I

TL;DR

This paper develops a comprehensive nonstandard modeling framework for natural languages and related processes, with applications across linguistics, philosophy, psychology, and physical world theories.

Contribution

It introduces a unified set of technical results for nonstandard models like the GGU, GID, GD, and MA models, linking them to various scientific and philosophical domains.

Findings

Technical results on nonstandard modeling of languages and deduction processes

Applications to multiple models and theories in philosophy and science

Connections between nonstandard models and physical world concepts

Abstract

As of the date of this version, this monograph (parts I and II) contains all of the known technical results relative to the Robinson-styled nonstandard modeling of natural languages and certain associated linguistic processes such as deduction via consequence operators among other concepts. These results have direct application to the construction of the GGU-model, the GID-model, the GD-model, the MA-model and also apply to philosophy, psychology, properton theory and other aspects of the Nonstandard Physical World (NSP-world).