The connective concerns the conditional link between antecedent and consequent. It may affirm or deny a connection; an affirmed connection may be necessary or coincidental.
The disjunctive form addresses exclusion between alternatives, or denial of that exclusion. A genuine disjunction excludes joint truth and joint falsehood; exclusive of conjunction excludes only joint truth; exclusive of omission excludes only joint falsehood.
The next stage is to study the book’s further divisions of conditional propositions, including opposition, coincidence, singular and quantified forms, and their characteristic quantifier words.