Susanne Bobzien's scholarship demonstrates that Stoic syllogistic is better understood as a proof system governed by a specific dialectical analysis procedure with its own integrity.
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A definition of the derivability symbol ⊢_P which characterizes what it means for a formula φ to be derivable from a given set of axioms and rules; equivalently, a mapping P: {0,1}* → VALID whose domain consists of all binary strings and whose range is the class of all valid formulas
syllogistic(Aristotelian logic)
A theory covering a rather limited range of arguments, specifically two-premised arguments containing only the four kinds of categorical sentences