Changes

===Commentary Note 11.1===

===Commentary Note 11.1===

We have reached in our reading of Peirce's text a suitable place to pause — actually, it is more like to run as fast as we can along a parallel track — where I can due quietus make of a few IOU's that I've used to pave my way.

We have reached a suitable place to pause in our reading of Peirce's text — actually, it is more like a place to run as fast as we can along a parallel track — where I can pay off a few IOU's that I've used to pave the way to this point.

The more pressing debts that come to mind are concerned with the matter of Peirce's "number of" function, that maps a term t into a number [t], and with my justification for calling a certain style of illustration by the name of the "hypergraph" picture of relational composition.  As it happens, there is a thematic relation between these topics, and so I can make my way forward by addressing them together.

The more pressing debts that come to mind are concerned with the matter of Peirce's "number of" function that maps a term <math>t\!</math> into a number <math>[t],\!</math> and with my justification for calling a certain style of illustration the ''hypergraph picture'' of relational composition.  As it happens, there is a thematic relation between these topics, and so I can make my way forward by addressing them together.

At this point we have two good pictures of how to compute the relational compositions of arbitrary 2-adic relations, namely, the bigraph and the matrix representations, each of which has its differential advantages in different types of situations.

At this point we have two good pictures of how to compute the relational compositions of arbitrary 2-adic relations, namely, the bigraph and the matrix representations, each of which has its differential advantages in different types of situations.