Jeff,  All versions of logic, by Peirce and by any logicians before or
after Peirce, represent propositions.  Induction, abduction, and deduction
are operations that relate propositions to one another in various ways. 
Those operations can be performed in equivaent ways with any notation for
logic -- or even with propositions stated in English or any other
language.
JBD> It is an interesting question:  how might
one represent abductive inferences in the EG?
Short answer:  Peirce
stated rules of inference for deduction with EGs.  He also wrote a great
deal about induction and abduction with examples stated in English.  To
adapt those examples to EGs, translate the English to EGs and then perform
the equivalent operations on the EGs.
John
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