A Self-Reflecting Formal Language
Abstract
We construct a formal theory, which we call reflectica, whose language possesses the following properties of natural language: it is a self-reflecting language and an intensional language. By a self-reflecting language we understand an interpreted language that is a meta-language in relation to itself. By an intensional language we understand a language that has expressive means sufficient to represent intensional features of a natural language, such as statements containing propositional attitude reports, various kinds of quotation, and other types of expressions with an intensional context. At the same time, we present a new method for constructing an intensional logic that allows us to make reflectica an intensional system much simpler than other well-known intensional logics.
Keywords
Cite
@article{arxiv.2302.09077,
title = {A Self-Reflecting Formal Language},
author = {Mikhail Patrakeev},
journal= {arXiv preprint arXiv:2302.09077},
year = {2024}
}