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ONT Re: Effective Logical Formalism




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ELF.  Literature Note 10

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JA = Jon Awbrey
JS = John Sowa

John,

The question was about the relation of truth to semantics,
not about the relation of truth to logic, which would be
almost as idiotic as your excerpts of SUO messages to
the CG list make all of their authors out to be.

Jon Awbrey

JS: Truth has been associated with logic since Aristotle,
    whom Tarski quoted several times, as in his papers
    of 1933 and 1944.

JA: ... but maybe you could give a guide to the perplexed by
    explaining how the subject of truth got to be lumped under
    the head of semantic, and who it was that most notoriously
    lumped it so, and why.

JS: Peirce adopted the names of the first three of the liberal
    arts -- Grammar, Logic, and Rhetoric -- as the subdivisions
    of semeiotic.  He defined "critical logic" as the "formal
    science of the truth of propositions" (CP 2.229), which
    he developed in a form that was logically equivalent to
    Tarski's model theory, but in a form that was closer to
    Hintikka's game-theoretical semantics.  For further
    discussion, see my annotations to Peirce's MS 514:

    http://www.jfsowa.com/peirce/ms514.htm
    Existential Graphs

JS: Then Charles Morris, the famous popularizer and
    oversimplifier of semiotics, replaced Peirce's terms
    with the triad "syntax, semantics, and pragmatics",
    which all the logicians adopted.  Note that Tarski
    did not use the word "semantics" in 1933, but after
    Morris's influence, he did use that term in 1944.

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