8. OUTLINE.
MEDIATE INFERENCE.
(1) Inference and reasoning.
Definitions. Middle term explained.
(2) The analogy between the judgment and the syllogism.
(3) Rules of the syllogism given. Eight in number.
(4) Rules of the syllogism explained:
Rule 1. Syllogistic symbols.
Major, minor, and middle terms; how found.
Fallacy of four terms.
Rule 2. Major and minor premises and conclusion, how determined.
Logical arrangement.
Reason for three propositions.
Rule 3. Reason for omitting “ambiguous middle” from rule.
Undistributed and distributed middle explained.
Rule 4. Illicit major and minor explained and illustrated.
Rule 5. Fallacy of two negatives.
Rule 6. Fallacy of negative conclusion.
Rule 7. Fallacy of two particulars.
Rule 8. Fallacy of particular conclusion.
(5) Aristotle’s dictum.
(6) Canons of the syllogism.
(7) Mathematical axioms.