A SYSTEM OF LOGIC, RATIOCINATIVE AND INDUCTIVE, BEING A CONNECTED VIEW OF THE AND THE METHODS OF SCIENTIFIC INVESTIGATION. BY JOHN STUART MILL. IN TWO VOLUMES. VOL. II. FIFTH EDITION. LONDON: PARKER, SON, AND BOURN, WEST STRAND. MDCCCLXII. 250 A 59. 264. &. 9. CONTENTS § 1. CAN all the sequences in nature be resolvable into one law? 2. Ultimate laws cannot be less numerous than the distin- 2. - and from the progressiveness of the cause 3. Derivative laws generated from a single ultimate law § 1. Definition of an empirical law 2. Derivative laws commonly depend on collocations 3. The collocations of the permanent causes are not reducible 4. Hence empirical laws cannot be relied on beyond the 40 PAGE § 5. Generalizations which rest only on the Method of Agree- 6. Signs from which an observed uniformity of sequence § 1. Derivative laws, when not casual, are almost always con- 2. On what grounds they can be extended to cases beyond § 1. The law of causality does not rest on an instinct 2. But on an induction by simple enumeration 3. In what cases such induction is allowable. 4. The universal prevalence of the law of causality, on what 85 85 90 CHAPTER XXII. Of Uniformities of Coexistence not dependent 2. The properties of Kinds are uniformities of coexistence 109 3. Some are derivative, others ultimate 4. No universal axiom of coexistence 2. Approximate generalizations less useful in science than in 3. In what cases they may be resorted to 4. In what manner proved 5. With what precautions employed 6. The two modes of combining probabilities 7. How approximate generalizations may be converted into CHAPTER XXIV. Of the Remaining Laws of Nature. § 1. Propositions which assert mere existence 2. Resemblance, considered as a subject of science 6. Those of algebra affirm the equivalence of different modes 7. The propositions of geometry are laws of outward nature 151 8. Why geometry is almost entirely deductive |