Jon--The Peirce list is a forum, not a kind of personal 'storage' site.
Gary R

[image: Gary Richmond]

*Gary Richmond*
*Philosophy and Critical Thinking*
*Communication Studies*
*LaGuardia College of the City University of New York*
*C 745*
*718 482-5690*

On Thu, Jun 29, 2017 at 2:25 PM, Jon Awbrey <jawb...@att.net> wrote:

> Storing this here for later discussion ...
>
> On 6/28/2017 11:53 AM, John F Sowa wrote:
> > Jon,
> >
> > That's an important topic to explore:
> >
> > JA
> >> we can take up the issue of propositions in more detail
> >> as it arises in the relevant context.
> >
> > For a good analysis of the issues, I recommend the following book:
> > Stjernfelt, Frederik (2014) Natural Propositions: The Actuality
> > of Peirce’s Doctrine of Dicisigns, Boston: Docent Press.
> >
> > I wrote a 5-page article on propositions from a Peircean perspective:
> > http://www.jfsowa.com/logic/proposit.pdf
> >
> > That article is based on Peirce's notion of equivalence (CP 5.569):
> >> A sign is only a sign in actu by virtue of its receiving an
> >> interpretation, that is, by virtue of its determining another sign
> >> of the same object. This is as true of mental judgments as it is of
> >> external signs. To say that a proposition is true is to say that
> >> every interpretation of it is true. Two propositions are equivalent
> >> when either might have been an interpretant of the other. This
> >> equivalence, like others, is by an act of abstraction (in the sense
> >> in which forming an abstract noun is abstraction) conceived as identity.
> >>
> >> And we speak of believing in a proposition, having in mind an entire
> >> collection of equivalent propositions with their partial interpretants.
> >> Thus, two persons are said to have the same proposition in mind. The
> >> interpretant of a proposition is itself a proposition. Any necessary
> >> inference from a proposition is an interpretant of it.
> >>
> >> When we speak of truth and falsity, we refer to the possibility of the
> >> proposition being refuted; and this refutation (roughly speaking) takes
> >> place in but one way. Namely, an interpretant of the proposition would,
> >> if believed, produce the expectation of a certain description of percept
> >> on a certain occasion. The occasion arrives: the percept forced upon
> >> us is different. This constitutes the falsity of every proposition of
> >> which the disappointing prediction was the interpretant. Thus, a false
> >> proposition is a proposition of which some interpretant represents
> >> that, on an occasion which it indicates, a percept will have a certain
> >> character, while the immediate perceptual judgment on that occasion is
> >> that the percept has not that character.
> >>
> >> A true proposition is a proposition belief in which would never lead
> >> to such disappointment so long as the proposition is not understood
> >> otherwise than it was intended.
> >
> > In the article, I formalize Peirce's notion of equivalence in terms
> > of *meaning-preserving translations* (MPTs), which specify a class
> > of equivalent sentences in some language or languages.  It's easy to
> > define MPTs for formal logics, but much harder for natural languages.
> >
> > John
> >
>
> --
>
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