Abstract

Peirce's classes of signs have given rise to a large number of approaches
aimed at exposing them, illustrating them, modeling them, formalizing them
in different terms, and in some cases testing their operationality. Among
these approaches one can distinguish and characterize "iconographic
models". Four of them are studied. They are certainly known to most
peirceans: the "tripods" of Floy Merrell, the "trikonics" of Gary Richmond,
the "cornered signs" of Priscila Farias and Joao Queiroz which are derived
from drawings  of Peirce's hand himself (named so for convenience), the
"signtrees" of Priscila Borges. We demonstrate that they are all isomorphic
to the classes of signs obtained by algebraical method, and therefore
isomorphic each other. But this algebraic model also shows that the set of
10 classes of signs is organized in a lattice structure, which is a natural
extension of the Peircean theory of signs. Peirce, by defining "affinities"
between sign classes, had intuited the existence of this algebraic
structure but it was not yet available as such at his time. Relative to the
state in which Peirce left us his semiotics, this model is, so to speak,
"epistemologically pure".

https://www.academia.edu/s/e2ce02d520
Honorary Professor ; PhD Mathematics ; PhD Philosophy
fr.wikipedia.org/wiki/Robert_Marty
de.wikipedia.org/wiki/Robert_Fran%C3%A7ois_Raymond_Marty
<https://de.wikipedia.org/wiki/Robert_Fran%C3%A7ois_Raymond_Marty?fbclid=IwAR0N4S-t_avO38YlBYcj_-a2YYcsNvl6joIhTkajX0lMQhV8CXRQjQeXXxQ>
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