ONT Re: Alpha Graph Exercises
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AGE. Note 3
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JA = Jon Awbrey
RY = Reader Y
Re: AGE 1. http://suo.ieee.org/ontology/msg05435.html
In: AGE. http://suo.ieee.org/ontology/thrd1.html#05435
RY: The notation you used was enterely new for me however the interpretation
of a->(a or b) made things a lot clearer! What you called weed and seed
is (i think) the "rule of deiteration. Any graph whose occurrence could
be the result of iteration may be erased".
Dear RY,
Your note brought to mind some topics that
I have been working on for quite some time,
and also the fact that the felicities of
Peirce's graphical systems are still not
as widely enjoyed as they might be, for
all the literature that has been writ
on them in the intervening years, so
I started a thread at several of my
active workplaces to discuss these
rudiments of Alpha Graphs, here:
http://suo.ieee.org/ontology/thrd1.html#05435
http://yaka.univ-perp.fr/wws/arc/gdsemiocom/2004-02/msg00119.html
http://stderr.org/pipermail/inquiry/2004-February/thread.html#1204
The tree that I drew is the parse-tree of
the corresponding parenthetical expression,
as illustrated here for the present example,
where one traverses the tree up the left side
and down the right side of each edge in the
tree, reading off parentheses and variable
labels as one goes.
A B
o o
\ /
(\} (/)
\ /
o
(|)
o
(|)
A o
(|)
@
( A ( ((A)(B)) ))
Jon Awbrey
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http://www.cs.bsu.edu/homepages/mighty/history.html
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