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Theories of truth for countable languages which conform to classical logic

Logic 2020-02-04 v9

Abstract

Every countable language which conforms to classical logic is shown to have an extension which conforms to classical logic, and has a definitional theory of truth. That extension has a semantical theory of truth, if every sentence of the object language is valuated by its meaning either as true or as false. These theories contain both a truth predicate and a non-truth predicate. Theories are equivalent when the sentences of the object language are valuated by their meanings.

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Cite

@article{arxiv.1809.10539,
  title  = {Theories of truth for countable languages which conform to classical logic},
  author = {Seppo Heikkilä},
  journal= {arXiv preprint arXiv:1809.10539},
  year   = {2020}
}

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16 pages