Montague's Paradox without Necessitation
Logic
2023-06-06 v6
Abstract
Some such as Dean (2014) suggest that Montague's paradox requires the necessitation rule, and that the use of the rule in such a context is contentious. But here, I show that the paradox arises independently of the necessitation rule. A derivation of the paradox is given in modal system T without deploying necessitation; a necessitation-free derivation is also formulated in a significantly weaker system.
Cite
@article{arxiv.1611.01102,
title = {Montague's Paradox without Necessitation},
author = {T. Parent},
journal= {arXiv preprint arXiv:1611.01102},
year = {2023}
}