A Manual of Logic: In Two Volumes, Volume 1

James Welton

W.B. Clive, 1896 - Logic

Contents

• INTRODUCTION: 1
• View of Logic adopted in this Work: 9
• CHAPTER II: 10
• i Views as to Conception: 16
• The Principle of Identity: 17
• The Principle of Contradiction: 18
• The Principle of Excluded Middle: 19
• The Principle of Sufficient Reason: 20
• Hamiltons Postulate: 21
• Mathematical Axioms: 22
• General relation of Logic to other Sciences: 24
• Logic and Metaphysics: 25
• Logic and Psychology: 26
• Logic and Rhetoric: 27
• Logic and Grammar: 28
• BOOK I: 40
• Names or Terms may be Singleworded or Manyworded 25 Categorematic and Syncategorematic Words: 42
• DIVISIONS OF TERMS: 44
• i Contradiction: 50
• 17 17: 58
• Classification by Series: 63
• Positive and Negative Terms: 64
• iii Repugnance: 71
• CHAPTER III: 78
• Genus and Species: 81
• Differentia: 83
• Proprium: 84
• Accidens: 85
• The Tree of Porphyry: 86
• General remarks on the Predicables: 88
• CHAPTER IV: 89
• Aristotles Scheme of Categories: 90
• Objections to Aristotles Scheme of Categories i By the authors of the Port Royal Logic: 93
• iii By Lotze iv By J S Mill: 94
• 18: 104
• CHAPTER V: 107
• Functions and use of Definition 50 Definition per Genus et differentiam: 108
• Limits of Definition: 110
• Rules of Definition: 114
• 19: 118
• iii Analyticallyformed and Syntheticallyformed iv Essential Definition and Distinctive Explanation: 121
• i General Character of Logical Division: 123
• Division by Dichotomy: 130
• Artificial and Natural Classification: 136
• Classification is not by Types: 144
• BOOK II: 154
• Analytic and Synthetic Propositions: 160
• The Fourfold Scheme of Propositions: 171
• i Compound in Form: 178
• Relation of Hypothetical to Categorical Propositions: 184
• Modality of Propositions: 192
• The Classinclusion View: 198
• The Comprehensive View: 208
• 90: 215
• 93: 220
• 94: 222
• 95: 225
• Opposition of Categorical Propositions: 228
• 99: 240
• 100: 244
• 101: 246
• Chief Eductions of Categorical Propositions: 248
• 103: 267
• 107: 275
• 108: 280
• 20: 282
• 110: 287
• Application of the Rules to Pure Hypothetical and Pure: 304
• 114: 307
• Characteristics of each Figure: 324
• iii Datisi: 336
• Valid Moods of the Fourth Figure: 337
• i Eulers Diagrams: 345
• i Cesare: 346
• CHAPTER IV: 352
• iv Baroco: 353
• Reduction and Implications of Existence: 360
• iii Examples: 368
• 24: 369
• a Determination of Forms: 376
• Mixed Hypothetical Syllogisms: 379
• 25: 385
• CHAPTER VI: 387
• i Kinds of Sorites: 393
• Epicheiremas: 400
• 26: 401
• ii From Particular Disjunctives: 404
• Limitations of Syllogistic Reasoning: 409
• 282: 414
• 28: 415

Bibliographic information

• Title: A Manual of Logic: In Two Volumes, Volume 1; A Manual of Logic: In Two Volumes, James Welton
• Author: James Welton
• Edition: 2, reprint
• Publisher: W.B. Clive, 1896
• Original from: the University of California
• Digitized: Jan 26, 2016