Helmut wrote:
". . . what is a relation between two sets, or what is a (7295-1)
triadic relation (between three sets)? Is there such a
thing in mathematics?"
Of course.
The mathematical category is a tridic relation among three sets, A, B and
C, with the composition condition satisfied by the associated mappings, f,
g and h, i.e., f x g = h, meaning that mapping of elements of A to those
of B followed by the mapping of the elements of B to those of the elements
of C leads to the indirect mapping of the elements of A to those of the
elements of C:
f g
A ------> B ------> C
| ^
| |
|___________________|
h
A specific example is provided by the Peircean sign relation or semiosis:
f g
Object ------> Sign ------> Intepretant
| ^
| |
|_________________________________|
h
where f = sign production, g = sign interpretation; and h = information flow.
With all the best.
Sung
___________________________________________________
Sungchul Ji, Ph.D.
Associate Professor of Pharmacology and Toxicology
Department of Pharmacology and Toxicology
Ernest Mario School of Pharmacy
Rutgers University
Piscataway, N.J. 08855
732-445-4701
www.conformon.net
> Hi, Everybody. Semiotics is about relations between two or three
> entities, and I want to find out, what a relation is. In common sense, a
> relation is an established information between two actors. But in
> mathematics it is different. A relation is a subset of of a sets product
> (multiplication) with itself. So, what is a relation between two sets, or
> what is a triadic relation (between three sets)? Is there such a thing in
> mathematics? Anybody got an idea, or a hint about literature? I mean, an
> index for nonexistance of dyadic relations is the percentage of divorced
> marriages, but lets avoid sociology and stick with semiotics and
> mathematics. Best, helmut
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