CONTENTS. iliit 



BOOK V. 



GENERALISATION, ANALOGY. AND CLASSIFICATION. 

 CHAPTER XXVII. 



GENE RALiS AT10N. 



SECTION i-AGE 



1. Generalisation 594 



2. Distinction of Generalisation and Analogy .596 



3. Two Meanings of Generalisation .597 



4. Value of Generalisation . ; .599 



5. Comparative Generality of Properties 600 



6. Uniform Properties of all Matter 603 



7. Variable Properties of Matter 606 



8. Extreme Instances of Properties 607 



9. The Detection of Continuity 610 



10. The Law of Continuity 615 



11. Failure of the Law of Continuity 619 



12. Negative Arguments on the Principle of Continuity .... 621 



13. Tendency to Hasty Generalisation 623 



CHAPTER XX VII I. 



ANALOGY . 



1. Analogy 627 



2. Analogy as a Guide in Discovery 629 



3. Analogy in the Mathematical Sciences 631 



4. Analogy in the Theory of Undulations 635 



5. Analogy in Astronomy 638 



6. Failures of Analogy 641 



CHAPTER XXIX. 



EXCEPTIONAL PHENOMENA. 



1. Exceptional Phenomena , . . . .644 



2. Imaginary or False Exceptions 647 



3. Apparent but Congruent Exceptions . . . .... . . 649 



4. Singular Exceptions 652 



5. Divergent Exceptions 655 



6. Accidental Exceptions 658 



7. Novel and Unexplained Exceptions 661 



8. Limiting Exceptions 663 



9. Real Exceptions to Supposed Laws 666 



10. Unclassed Exceptions 668 



