Ben,

Just to give a prototypical example, one of the ways that the distinction
between concepts and judgments worked its way through analytic philosophy
and into the logic textbooks that I knew in the 60s was in the distinction
between a "conditional" ( → or -> ) and an "implication" ( ⇒ or => ).  The
first was conceived as a function (from a pair of truth values to a single
truth value) and the second was conceived as a relation (between two truth
values).  The relationship between them was Just So Storied by saying that
asserting the conditional or judging it to be true gave you the implication.

I think it took me a decade or more to clear my head of the dogmatic slumbers
that this sort of doctrine laid on my mind, mostly because the investiture of
two distinct symbols for what is really one and the same notion viewed in two
different ways so obscured the natural unity of the function and the relation.

Cf. http://mywikibiz.com/Logical_implication

Regards,

Jon

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