Breakdown:
Either H or L
not-L
H
Thoughts:
This is a strong disjunctive. The difference between this disjunction and the previous disjunction is that this focuses on a single subject and two disjuncts, whereas the other focuses on two subjects and each their own respective either/or disjuncts.
Components of Disjunctive Syllogism:
All disjunctive syllogisms consist of a major premise presenting the disjunction; a minor premise affirming or denying one of the disjuncts; a conclusion that acts inversely with its minor premise.
Four Moods of Disjunctive Syllogism:
There are four possible moods to disjunctive syllogisms (weak or strong). Two moods consist of a minor premise affirming a disjunct and two moods consist of a minor premise denying a disjunct (conclusion acting inversely).
Either P or Q
P
not-Q
Either P or Q
not-P
Q
Either P or Q
Q
not-P
Either P or Q
not-Q
P
This argument is an example of mood-4. If an argument is a weak disjunction, only moods 2 and 4 (where the minor is a denial) are valid. When an argument is a strong disjunction, all four moods are valid.
For the sake of the ITEM, weak or strong is irrelevant, because mood-4 is applicable to both strong and weak disjunctions.
timmydoeslsat Wrote:Well don't let it bother you! When somebody states, "Either A or B"...That totally gives us the right to have both.
The "or" in LSAT use is not disjunctive, it is always inclusive of both possibilities being listed.
The only time it does not is when you are directly told "not both."
To your first and third points here...
Not necessarily. If the relationship between P and Q are exclusive and collectively exhaustive, then there’s no possible way you can ‘get the right to have both (irrespective of whether the statement says ‘not both’). For instance…
Either the window is open or closed.
The window is open (closed).
The window is not-closed (not-open).
The window can’t be both open and closed at the same time, so you can’t have both. This is because the disjuncts are mutually exclusive and collectively exhaustive of all alternative possibilities. Also, ‘not both’ was not used.
To your second point...
Using ‘or’ is the basis of disjunctive syllogism. In traditional logic: a proposition is a disjunction only if the major premise consists of an ‘either/or’ concept. If the major premise doesn’t consist of an ‘either/or’ concept, then the syllogism is something other than disjunctive.