xliv CONTENTS. 



CHAPTER XXX. 



CLASSIFICATION. 

 SECTION PAGE 



1. Classification .... 673 



2. Classification involving Induction ... . . . 675 



3. Multiplicity of Modes of Classification 677 



4. Natural and Artificial Systems of Classification 679 



5. Correlation of Properties 681 



6. Classification in Crystallography . 685 



7. Classification an Inverse and Tentative Operation 689 



8. Symbolic Statement of the Theory of Classification . . . .692 



9. Bifurcate Classification 694 



10. The Five Predicates 698 



11. Summnm Genus and Infima Species .... ... 701 



12. The Tree of Porphyry 702 



13. Does Abstraction imply Generalisation ? 704 



708 



710 



...... 714 



718 



722 



724 



728 



. 730 



14. Discovery of Marks or Characteristics 



15. Diagnostic Systems of Classification 



16. Index Classifications 



17. Classification in the Biological Sciences 



18. Classification by Types . . . 



19. Natural Genera and Species . . 



20. Unique or Exceptional Ofcjecjs . 



21. Limits of Classification .' 



BOOK VI. 



CHAPTER XXXI. 



REFLECTIONS ON THE RESULTS AND LIMITS OF SCIENTIFIC METHOD. 



1. Reflections on the Results and Limits of Scientific Method . . 735 



2. The Meaning of Natural Law .... 737 



3. Infiniteness of the Universe ...... '733 



4. The Indeterminate Problem of Creation ' 740 



5. Hierarchy of Natural Laws ....... ' "742 



6. The Ambiguous Expression" Uniformity of Nature " ' ' 745 



7. Possible States of the Universe ..... 749 



8. Speculations on the Reconcentration of Energy ' 751 



9. The Divergent Scope for New Discovery . ' 752 

 }?' ^finite Incompleteness of the Mathematical Sciences' ' '754 



12 Th " n /D; W ! n Mental and Social Phenomena . .' .' .' 759 



12. The Theory of Evolution . . 7fi1 



13. Possibility of Divine Interference . ' 7*5 



14. Conclusion ' * * * J2 



.773 



