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Results for 'Arithmetic modulo $n$'
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- A simple theory containing its own truth predicate.Nicholas Shackel - 2018 - South American Journal of Logic 4 (1):121-131.Tarski's indefinability theorem shows us that truth is not definable in arithmetic. The requirement to define truth for a language in a stronger language (if contradiction is to be avoided) lapses for particularly weak languages. A weaker language, however, is not necessary for that lapse. It also lapses for an adequately weak theory. It turns out that the set of G{\"o}del numbers of sentences true in arithmetic modulo $n$ is definable in arithmetic modulo $n$.
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