Produced by David Clarke, Stephen H. Sentoff and the Online Distributed Proofreading Team at https://www.pgdp.net (This file was produced from images generously made available by The Internet Archive/Canadian Libraries) A SYSTEM OF LOGIC RATIOCINATIVE AND INDUCTIVE VOL. II. A SYSTEM OF LOGIC RATIOCINATIVE AND INDUCTIVE BEING A CONNECTED VIEW OF THE PRINCIPLES OF EVIDENCE AND THE METHODS OF SCIENTIFIC INVESTIGATION BY JOHN STUART MILL IN TWO VOLUMES VOL. II. SEVENTH EDITION LONDON: LONGMANS, GREEN, READER, AND DYER MDCCCLXVIII CONTENTS OF THE SECOND VOLUME. BOOK III. ON INDUCTION.--(_Continued._) CHAPTER XIV. _Of the Limits to the Explanation of Laws of Nature; and of Hypotheses._ § 1. Can all the sequences in nature be resolvable into one law? 3 2. Ultimate laws cannot be less numerous than the distinguishable feelings of our nature 4 3. In what sense ultimate facts can be explained 7 4. The proper use of scientific hypotheses 8 5. Their indispensableness 16 6. Legitimate, how distinguished from illegitimate hypotheses 18 7. Some inquiries apparently hypothetical are really inductive 25 CHAPTER XV. _Of Progressive Effects; and of the Continued Action of Causes._ § 1. How a progressive effect results from the simple continuance of the cause 29 2. --and from the progressiveness of the cause 33 3. Derivative laws generated from a single ultimate law 36 CHAPTER XVI. _Of Empirical Laws._ § 1. Definition of an empirical law 38 2. Derivative laws commonly depend on collocations 39 3. The collocations of the permanent causes are not reducible to any law 41 4. Hence empirical laws cannot be relied on beyond the limits of actual experience 41 5. Generalizations which rest only on the Method of Agreement can only be received as empirical laws 43 6. Signs from which an observed uniformity of sequence may be presumed to be resolvable 44 7. Two kinds of empirical laws 47 CHAPTER XVII. _Of Chance, and its Elimination._ § 1. The proof of empirical laws depends on the theory of chance 49 2. Chance defined and characterized 50 3. The elimination of chance 55 4. Discovery of residual phenomena by eliminating chance 57 5. The doctrine of chances 59 CHAPTER XVIII. _Of the Calculation of Chances._