Are mathematical truths such as 2+2 =4 arguable exceptions to the correspondence theory of truth? I mean is 2+2=4 a truth that corresponds to "the world"?

I don't think mathematical truths pose a special problem for the correspondence theory of truth (see this link for more about the theory). The correspondence theorist can interpret "the world" broadly enough to include abstract objects, aspects of mathematical reality, and so on. In other words, "the world" needn't be restricted to the physical universe.

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