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arXiv · 1708.00317

A mathematically derived definitional/semantical theory of truth

Seppo Heikkilä
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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)'.

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Seppo Heikkilä. 2017-07-29. A mathematically derived definitional/semantical theory of truth. https://arxiv.org/abs/1708.00317

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