ONT Re: Reductions Among Relations
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
RAR. Note 6
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
Projective Reduction of Triadic Relations (concl.)
We have pursued the "projective analysis" of 3-adic relations,
tracing the pursuit via a ready quantity of concrete examples,
just far enough to arrive at this clearly demonstrable result:
| Some 3-adic relations are and
| some 3-adic relations are not
| uniquely reconstructible from,
| or informatively reducible to,
| their 2-adic projection data.
Onward!
Prospects for a Compositional Analysis of Triadic Relations
Turn we now to a "compositional analysis" of 3-adic relations,
coining a term to prevent confusion, like there's a chance in
the world of that, but still making use of nothing other than
that "standardly uptaken operation" of relational composition,
the one that constitutes the customary generalization of what
just about every formal, logical, mathematical community that
is known to the writer, anyway, dubs "functional composition".
Jon Awbrey
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o