Auke, I agree with you about the issues and priorities.

AvB> Peirce is multi facetted.  Each of us looks from a particular
angle...  I am not interested in what might be the final version Peirce
wrote on the negation vs scroll issue...  I can agree with you if we are
discussing EG as a formal system.

Yes.  Formal EGs are the
foundation.  As Peirce himself said, logic as semiotic is much broader. 
It includes the methodeutic for analyzing and developing the immense
variey empirical sciences.

AvB> In a sense when we interpret
we look at the input from all logical perspectives.  Box-X running from
0000 to tttt, or from doubt to belief.

Yes.  All versions of
classical first-order logic are sufficiently expressive to define all the
patterns of mathematics.  But the eg1911 version (as stated in L231) has a
simplicity and symmetry that makes the definitions easier to state and the
proofs easier to discover.

For examples, see the slides I
presented at an APA conference in 2015 and extended with more examples for
another workshop:  "Peirce, Polya, and Euclid:  Integrating logic,
heuristics, and geometry," http://jfsowa.com/talks/ppe.pdf .

Note that the two-dimensional shaded areas of eg1911 can be generalized
to 3-D shaded regions for proofs in solid geometry.  They could even be
generalized to 4-D regions for "stereoscopic moving images",
which Peirce mentioned in L231.  Those generalizations are not possible
with the 1903 scrolls or the 1906 recto/verso sides of a 2-D sheet.

Another important example is an unsolved research problem that was
stated in 1988 and remained unsolved until 2010.  Good logicians failed to
find the proof because they made the same mistake that Peirce stated in
1893 (CP 4.76):  "For [the reader] cannot reason at all without a
monstrative sign of illation."  See the proof with EG rules in slide
65 ff of ppe.pdf.

Examples of signs of illation (or inference)
include Peirce's claw
symbol for if-then in Boolean algebra or his
scroll in EGs.  Those
symbols are asymmetric, but the critical step
for solving the problem of
1988 is easier to discover with the
symmetric EG "permissions". 

As for the time and date
when Peirce discovered the simplicity and
generality of the eg1911
rules, compare R669, which ends abruptly
shortly after 7:40 pm on 2
June 1911, to the completely rewritten R670,
which begins on June 7.
On June 22, he began L231, which contains a
complete and polished
version of the logic in R670.

The date of the discovery is
interesting for Peirce scholars.  But the
power and generality of
eg1911 is demonstrated by the applications.  For
more examples, see
"Diagrammatic reasoning with EGs and EGIF",
http://jfsowa.com/pubs/diagrams.pdf ; "Reasoning with diagrams
and
images",
http://www.collegepublications.co.uk/downloads/ifcolog00025.pdf

John
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