CONTENTS. xliii 



BOOK V. 

 GENERALISATION, ANALOGY, AND CLASSIFICATION. 



CHAPTER XXVII. 



GF.NERALISATION. 



.SKCTION PAGE 



1. Generalisation 594 



2. Distinction ol' OeniTiilisation and Analogy 596 



3. Two Meanings of Generalisation 597 



4. Value of Generalisation 599 



5. Comparative Generality of Pioperties 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 Argninents on the Principle of Continuity .... 621 



13. Tendency to Ha.sty Geneialisatiou 623 



CHAPTER X.KVIII. 



ANALOGY. 



1. Analogy 627 



2. Analogy as a Guide in Discovery 629 



3. Analogy in the Mathematical Sciences 631 



i. Analogy in the Theory of Undulations 635 



5. Analog}' in Astronomy 638 



6, Failures of Analogy 641 



CHAPTER XXIX. 



EXCEPTIONAL PHENOMENA. 



1. Exceptional Phenomena 644 



2. Imaginary or False Exct^ptions 647 



3. A])parent liut 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 6ti<) 



10. Unclassed Exceptions 668 



