(p. 113)
Sec.3. _Dictum de omni et nullo_ 115
Sec.4. Syllogism in relation to the Laws of Thought 116
Sec.5. Other Kinds of Mediate Inference 118

CHAPTER X

CATEGORICAL SYLLOGISMS

Sec.1. Illustrations of the Syllogism 121
Sec.2. Of Figures 122
Sec.3. Of Moods 123
Sec.4. How valid Moods are determined 124
Sec.5. Special Canons of the Four Figures 126
Sec.6. Ostensive Reduction and the Mnemonic Verses 127
Sec.7. Another version of the Mnemonic Verses 132
Sec.8. Indirect Reduction 132
Sec.9. Uses of the several Figures 134
Sec.10. Scientific Value of Reduction 135
Sec.11. Euler's Diagrams for the Syllogism 136

CHAPTER XI

ABBREVIATED AND COMPOUND ARGUMENTS

Sec.1. Popular Arguments Informal 138
Sec.2. The Enthymeme 139
Sec.3. Monosyllogism, Polysyllogism, Prosyllogism, Episyllogism 141
Sec.4. The Epicheirema 142
Sec.5. The Sorites 142
Sec.6. The Antinomy 145

CHAPTER XII

CONDITIONAL SYLLOGISMS

Sec.1. The Hypothetical Syllogism 147
Sec.2. The Disjunctive Syllogism 152
Sec.3. The Dilemma 154

CHAPTER XIII

TRANSITION TO INDUCTION

Sec.1. Formal Consistency and Material Truth 159
Sec.2. Real General Propositions assert more than has been
directly observed 160
Sec.3. Hence, formally, a Syllogism's Premises seem to beg the
Conclusion 162
Sec.4. Materially, a Syllogism turns upon the resemblance of the
Minor to the Middle Term; and thus extends the
Major Premise to new cases