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===Commentary Note 9.7===

===Commentary Note 9.7===

From this point forward we may think of idempotents, selectives, and zero-one diagonal matrices as being roughly equivalent notions.  The only reason that I say "roughly" is that we are comparing ideas at different levels of abstraction when we propose these connections.

From this point forward we may think of idempotents, selectives, and zero-one diagonal matrices as being roughly equivalent notions.  The only reason that I say ''roughly'' is that we are comparing ideas at different levels of abstraction in proposing these connections.

We have covered the way that Peirce uses his invention of the comma modifier to assimilate boolean multiplication, logical conjunction, or what we may think of as "serial selection" under his more general account of relative multiplication.

We have covered the way that Peirce uses his invention of the comma modifier to assimilate boolean multiplication, logical conjunction, or what we may think of as ''serial selection'' under his more general account of relative multiplication.

But the comma functor has its application to relative terms of any arity, not just the zeroth arity of absolute terms, and so there will be a lot more to explore on this point.  But now I must return to the anchorage of Peirce's text, and hopefully get a chance to revisit this topic later.

But the comma functor has its application to relative terms of any arity, not just the zeroth arity of absolute terms, and so there will be a lot more to explore on this point.  But now I must return to the anchorage of Peirce's text, and hopefully get a chance to revisit this topic later.