CONTENTS. iliil 



BOOK V. 



GENERALISATION, ANALOGY. AND CLASSIFICATION. 

 CHAPTER XXVII. 



GENERALISATION. 

 SECTION I AGE 



1. Generalisation 594 



2. Distinction of Generalisation anil 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 .< * ta\'i. . . 603 



7. Variable Properties of Matter /i. ' -i , . . . .606 



8. Extreme Instances of Properties . . . . t 5* Yi&te . . 607 



9. The Detection of Continuity .--,.-, n . .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 XXVIII. 



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 i v * . . .641 



CHAPTER XXIX. 



EXCEPTIONAL PHENOMENA. 



1. Exceptional Phenomena 644 



2. Imaginary or False Exceptions 6-17 



3. Apparent but Congruent Exceptions . 049 



4. Singular Exceptions 652 



5. Divergent Exceptions 655 



6. Accidental Exceptions 658 



7. Novel and Unexplained Exceptions 6G1 



8. Limiting Exceptions 6(53 



9. Real Exceptions to Supposed Laws 666 



10. Unclassed Exceptions 06.8 



