Peircers,

Storing this here for later discussion.

Regards,

Jon

On 6/28/2017 1:44 PM, Jon Awbrey wrote:
> John,
>
> Yes, I gave it a careful reading back when the List took it up:
>
> 
http://web.archive.org/web/20150116150400/http://comments.gmane.org/gmane.science.philosophy.peirce/13825
>
> I find some remnants of my comments here:
>
> https://inquiryintoinquiry.com/2014/10/12/semiotic-theory-of-information-3/
> https://inquiryintoinquiry.com/2014/10/13/semiotic-theory-of-information-4/
>
> 
https://inquiryintoinquiry.com/2014/08/24/c-s-peirce-%e2%80%a2-syllabus-%e2%80%a2-selection-1/
> 
https://inquiryintoinquiry.com/2014/10/04/c-s-peirce-%E2%80%A2-syllabus-%E2%80%A2-selection-2/
>
> I have in mind getting back to the issues raised by that reading someday
> but it would take me too far afield from my current focus to do that now.
>
> The short shrift for now is that neither Peirce nor I is/am talking about
> propositions in the sense of dicisigns or dicent symbols at this juncture
> but rather the simpler sorts of propositions that fall under the heading of
> the Propositional Calculus in current usage, adequately and most felicitously
> dealt with of course by means of Peirce's own Alpha Graphs.
>
> The concept of information that comes up in this context is rather distinct.
> To my way of thinking the earlier notion of information, however roughly cut,
> is superior in its basic principles, it being more realistic compared to the
> residual nominalism in the later concept, at least, as interpreted by others.
>
> Regards,
>
> Jon
>
> 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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