English

An axiomatization of truth and paradoxicality

Logic 2025-09-09 v1

Abstract

This short note introduces a formal system of truth and paradoxicality, outlining the main motivation, and proving its ω\omega-consistency. The system is called TP, for 'Truth and Paradoxicality'.

Keywords

Cite

@article{arxiv.2509.06757,
  title  = {An axiomatization of truth and paradoxicality},
  author = {Luca Castaldo},
  journal= {arXiv preprint arXiv:2509.06757},
  year   = {2025}
}