English

Classical determinate truth without induction

Logic 2024-08-05 v1

Abstract

Fujimoto and Halbach had introduced a novel theory of type-free truth CD which satisfies full classical compositional clauses for connectives and quantifiers. Answering their question, we show that the induction-free variant of that theory is conservative over Peano Arithmetic.

Cite

@article{arxiv.2408.01198,
  title  = {Classical determinate truth without induction},
  author = {Bartosz Wcisło},
  journal= {arXiv preprint arXiv:2408.01198},
  year   = {2024}
}

Comments

24 pages

R2 v1 2026-06-28T18:02:08.769Z