Dilemmas

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Give the form of the simple destructive dilemma.

If P, then Q; and if P, then R Either not Q or not R Therefore, not P

Give the form for the simple constructive dilemma.

If P, then Q; and if R, then Q Either P or R Therefore, Q

Give the form of the complex constructive dilemma.

If P, then Q; and if R, then S Either P or R Therefore, either Q or S

Give the form of the complex destructive dilemma.

If P, then Q; and if R, then S Either not Q or not S Therefore, not P or not Q

What is a dilemma?

It is fourth and the last of compound syllogisms.

Rule 3

The conclusion must be exclusive.

Rule 1

The consequents on the major premise must ligitimately from the antecedents

Rule 2

The disjunction in the minor premise must be complete


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