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Would it be provable that it can or cannot be given? What literature would you recommend me for looking into various theories of truth? Thanks.

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    You can find a good overview of the subject in Theories of Truth: A Critical Introduction by Richard Kirkham.
    – E...
    Commented Dec 19, 2016 at 22:16
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    "Deflationary Truth" is a collection of many of the most important papers on this topic. books.google.com/books/about/…
    – user20153
    Commented Dec 19, 2016 at 23:22
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    The problem is not with giving such a definition, but that there are too many given, all of them controversial. Look also at Tarski's undefinability theorem, stated and proved by Alfred Tarski's undefinability of truth theorem which roughly states that the notion of truth in a first order language (consistent and containing arithmetic) can not be defined within it.
    – Conifold
    Commented Dec 20, 2016 at 2:00

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Which sense of trivial? In the non-pejorative sense, truth is trivial, mundane, quotidian. Truth is merely a condition of propositions satisfied when what is said is corresponds with (matches, fits, etc.) what is. See chapter 9 for Searle's presentation and defense of the correspondence theory of truth.

Also, see here for references to the works of William James's "pragmatic" approach to truth.

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