There are a number of “difficulties at the beginning” that arise here. I’ve been trying to get to the point where I can respond to James Bowery’s initial comments and also to questions about the relation between Spencer Brown’s imaginary logical values and the development of differential logic.
The larger issue I see at this point has to do with the relationship between the arithmetic and the algebra of logical graphs. Peirce came close to the point of discovering that relationship several times in his later work on existential graphs (ExG) but never quite pushed it through to full realization. It was left to Spencer Brown to bring it to light.
The relationship between Primary Arithmetic and Primary Algebra is discussed in the following article:
The other issue has to do with my using a different J1 than Spencer Brown. I believe I even called it J1′ in the early days but eventually lost the prime as time went by. The best I can recall, it had something to do with negotiating between the systems of CSP and GSB, but I think I stuck with the variant because it sorts two types of change, modifying structure and moving variables, into different bins.
See also the discussions at the following locations: