Benjamin Udell wrote:
Gary, Joe, list,
I downloaded the chapter from Merkle's dissertation last night and it
downloaded quite quickly compared to the daytime when the Internet is
busier. What graphics! Very little in the way of my shadings, very
much in the way of exactness and complexity. If somebody asked me to
do a graphic with, for instance, over 700 relational lines in the
right places, I'd promise nothing! Amazing stuff. And he brings
together and compares quite a variety of arrangements of Peircean sign
classes and related conceptions by various scholars. If the logical
and mathematical structure across Peirce's signs interests you, hie
thee to Merkle's chapter
http://www.dainf.cefetpr.br/~merkle/thesis/CH4.pdf . I saved my copy
to disk, that way I don't cause him (or his server) bandwidth charges
by downloading it from his server any time I want to see it.
Best, Ben Udell
So far I've looked mainly at the graphics.
For the record, it must be added that a lot of the information found in
this very exhaustive piece of work has readily been available to
researchers since the 80s and before, including the work done by Robert
Marty on lattices (see the chapter on 'partially ordered sets' for an
overview of why the linear representation of the classes of signs from 1
to 10 is a bit of a problem...
Also note that the various trichotomies are not ordered. It is purely a
convention to call a trichotomy the first, second, or third trichotomy,
etc. So deducing an ordering of the classes from that information only,
as it has been done many times including on this list, is incorrect.
/JM
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