If correspondence theory is true, you aren't allowed to use the Piercian limit. It's a vacuous concept.
(blink) If I accept acorrespondence theory of truth, it seems that correspondence theory is not the sort of thing that is allowed to have a truth value. And if I reject a correspondence theory of truth, then I ought not believe that correspondence theory is true. So it seems that "correspondence theory is true" is necessarily false. No?
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Well, using pragmatist's cited definition of correspondence theory, a proposition is true if and only if it bears some sort of congruence relation to a state of affairs that obtains.
What state of affairs is "correspondence theory is true" congruent with?
I can't think of any.
If you can, I'll happily be convinced my argument doesn't hold, but basically it seems to me that correspondence theory lays out a framework for thinking about truth, just as governmental constitutions lay out a framework for thinking about law. Correspondence theory itself is no more true (or false) than constitutions are legal (or illegal).
The concept of scientific truth--the concept used by scientists--is the state of affairs some correspondence theories purport to be congruent with.