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What do I mean when I claim, implicitly or explicitly, that a statement is true?

I mean, first of all, that reality, or the real, in the sense of Hthe "the inclusive something" (Hartshorne), or Hthe "the totality of what is known about" (Rorty/Dennett), includes what I assert to be the case in so using a statement as to make or imply this kind of a claim to validity.

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Excluding, then, the nonexistential statements of logic and mathematics, one may distinguish two kinds of (existential) statements: (1) statements of fact (verites verités de fait), or contingent statements; and (2) statements of principle (verites verités de raison), or necessary statements. Accordingly, to assert these kinds of statements so as to express or imply the claim that they are true means:

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