A mathematically derived definitional/semantical theory of truth
Logic
2017-12-15 v9
Abstract
Ordinary and transfinite recursion and induction and ZF set theory are used to construct from a fully interpreted object language and from an extra formula a new language. It is fully interpreted under a suitably defined interpretation. This interpretation is equivalent to the interpretation by meanings of sentences if the object language is so interpreted. The added formula provides a truth predicate for the constructed language. The so obtained theory of truth satisfies the norms presented in Hannes Leitgeb's paper 'What Theories of Truth Should be Like (but Cannot be)'.
Keywords
Cite
@article{arxiv.1708.00317,
title = {A mathematically derived definitional/semantical theory of truth},
author = {Seppo Heikkilä},
journal= {arXiv preprint arXiv:1708.00317},
year = {2017}
}
Comments
Some proofs are simplified (see, eg. the proof of Lemma 3.2)