Cf: Inquiry Into Inquiry • Discussion 5
http://inquiryintoinquiry.com/2022/08/11/nquiry-into-inquiry-discussion-5/
All,
A quick review of the highlights so far, and then I'll continue from
the standpoint I indicated last time. As you recall, Dan Everett
opened with the following problem.
<QUOTE DE:>
I am trying to represent two readings of the three juxtaposed sentences
in English. The first reading is that the judge and the jury both know
that Malcolm is guilty. The second is that the judge knows that the
jury thinks that Malcolm is guilty.
Figure 1. The judge and the jury both know that Malcolm is guilty
https://inquiryintoinquiry.files.wordpress.com/2022/07/daniel-everett-e280a…
Figure 2. The judge knows that the jury thinks that Malcolm is guilty
https://inquiryintoinquiry.files.wordpress.com/2022/07/daniel-everett-e280a…
Do these purported EGs of mine seem correct to you?
</QUOTE>
Dan's initial question about logical graphs sent me further down memory lane
than I usually go, to my first encounters with extensions vs. intensions in
logic, intentional contexts, propositional attitudes, referential opacity,
truth-functionality, and triadicity, puzzles about which my first logic prof
sent me off to read Quine's “Ways of Paradox” and a host of others.
I had been studying Peirce on my own through all my undergrad years
and was fortunate at long last to find an advisor who was a fund of
knowledge about Peirce and Pragmatism, not to mention the Ancients
and philosophy in general. In several of our discussions from those
days I can remember expressing my hunch the problems of intentionality
were not due to a distinct modality or quality of propositions but
a different quantity or dimension of relations. I did not get to
Russell's monographs of 1918 and 1913 until much later but when
I did I was struck immediately by his use of graphs to represent
relations, so like Peirce's graphs for the logic of relatives.
Figure 3. Othello Believes Desdemona Loves Cassio
https://inquiryintoinquiry.files.wordpress.com/2022/07/o-believes-d-loves-c…
To be continued …
Regards,
Jon