Also see §9 "Genesis of the Letter Shapes (Separate the Box)" in
"Untapped Potential of Peirce's Iconic Notation" by Shea Zellweger in
_Studies in the Logic of Charles Sanders Peirce_, see pages 353-354,
with X figures.
He not only added the enclosing sides of a box to the X-part of Fig
18.9c. He also, like McCulloch (1965), tells us how to put a dot in
a quadrant (MS 530: 126).
[End quote]
https://books.google.com/books?id=pWjOg-zbtMAC&pg=PA354&lpg=PA354&dq=genesis-of-the-letter-shapes#v=onepage&q=genesis-of-the-letter-shapes&f=false
The Centro Studi Peirce doesn't have a listing for any publication of MS
530:
http://www.filosofia.unimi.it/peirce/index.php/en/published-manuscritps/15-500-600
The Robin Catalogue of Peirce's papers says this about MS 530:
530. A Proposed Logical Notation (Notation)
A. MS., n.p., [C.1903], pp. 1-45; 44-62, 12-32, 12-26; plus 44 pp.
of shorter sections as well as fragments.
Ethics of terminology. The history of logical terms and notations,
and CSP's recommendation of "the best algebraical signs for logic."
On the Stoic division of hypothetical propositions. CSP's division
of hypothetical propositions. Graphs, algebra of dyadic relations,
linear associative algebra, nonions.
http://www.iupui.edu/~peirce/robin/robin_fm/toc_frm.htm
<http://www.iupui.edu/%7Epeirce/robin/robin_fm/toc_frm.htm>
Best, Ben
On 1/4/2017 12:36 PM, Benjamin Udell wrote:
Harry, Jon A,
Irving Anellis (deceased a few years ago) wrote two brief papers
arguing that Peirce deserves credit for the propositional truth table.
"The Genesis of the Truth Table Device" (Abstract, with link to the
paper)
https://escarpmentpress.org/russelljournal/article/view/2056
"Peirce's Truth-functional Analysis and the Origin of Truth Tables"
(MathArxiv Preprint)
http://arxiv.org/abs/1108.2429
The X arrangement of TT, TF, FT, & FF appears in the second paper,
though not the X-dot symbols themselves. I think I've seen the X-dot
symbols (or at least something like them), but I can't remember where,
so I hope Jon knows. I searched for 'chias*' and 'chiastic' in
Collected Papers of CSP, Writings 1–6, and Contributions to 'The
Nation', but found nothing. An X arrangement of xy reflecting the
values of v & f appears in CP 4, paragraph 260. (CP 4 is entitled _The
Simplest Mathematics _, and the paper by Peirce called "The Simplest
Mathematics" is in CP 4.227-323).
Best, Ben
On 1/4/2017 11:31 AM, Jon Awbrey wrote:
Hi Harry,
I did my senior thesis on this back in '76 but at lunch now. More
later ...
Regards,
Jon
http://inquiryintoinquiry.com
On Jan 3, 2017, at 3:53 AM, harry Procter <[email protected]
<mailto:[email protected]> > wrote:
Dear all,
Shook, in his Dictionary of American Scholars, Vol 1 mentions Warren
McCulloch “re-discovering, after Peirce, Dot-X, or chiastic symbols
giving 16 possible truth-functions of a pair of propositions” (p 1544).
Does anyone know anything about this?
Yours,
Harry Procter
*From: * Gary Richmond [mailto:[email protected] ]
*Sent:* 23 June 2015 20:07
*To:* Peirce-L
*Subject:* [PEIRCE-L] Philosophy of Education in the Semiotics of
Charles Peirce
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