8.1 Introducing Compound Syllogisms- My Notes from the "Reasonable Person" by Mark Grannis

Compound Propositions 

"A proposition that comprises two or more different categorical propositions in some logical relation to each other." "...the proposition expresses real knowledge about the world, but that knowledge is mixed with uncertainty of some kind." 

In other words, a proposition that involves more than one subject and predicate. In these cases the multiple categorical propositions which are united into the compound proposition can be expressed as terms like, If P then Q. In a categorical proposition these terms would be concepts, but here the terms are full categorical propositions. 

Conditional Propositions - "A compound proposition in which two categorical propositions are joined in an 'if-then'" relationship." These express a certainty that if the first thing happens then the result will necessarily follow. 

"'If it rains tonight, then campers at the bottom of the hill will get wet.'" 

Disjunctive Propositions - These express a lack of knowledge about the particular while expressing a knowledge about the whole. 

"'Every wedding guest was either a family member or a very close friend." 

Conjunctive Propositions - Does not negate either part of itself, but just the whole. 

"'We can't spend the day at the museum and also visit the palace.'" 

Compound Syllogism

"A syllogism in which the major premise is a compound proposition and the minor premise may be either compound or categorical." 

In other words, a set of three propositions in which the major premise (must be a compound propositions) and the minor premise and conclusion (can be either a compound or categorical proposition).