 why you should care about this
or that sign relation.  That is a matter for you to choose.

JM:  Why not simply say as Peirce that when you have a triplet
     you have three pairs, and when you have a pair you have
     two units, no matter what the triplet is made of?
     Why does the relation have to be a sign relation?
     and how do you translate into the cartesian product
     that idea that O determines S, S determines I,
     and O determines I?

Again, this is just a form of description.  As it 