CONTENTS. rxxvii 



SECTION PACK 



5. Comparison of the Theory with Experience 206 



6. Probable Deductive Arguments 209 



7. Difficulties of the Theory 213 



CHAPTER XI. 



PHILOSOPHY OF INDUCTIVE INFERENCE. 



1. Philosophy of Inductive Inference ..... .... 218 



2. Various Classes of Inductive Truths ... 219 



3. The Relation of Cause and Effect 220 



4. Fallacious Use of the Term Cause 22 J 



5 Confusion of Two Questions 222 



6. Definition of the Term Cause 224 



7. Distinction of Inductive and Deductive Results 22G 



8. The Grounds of Inductive Inference 228 



9. Illustrations of the Inductive Process 22S> 



10. Geometrical Reasoning 233 



11. Discrimination of Certainty and Probability 23, r > 



CHAPTER XII. 



THE INDUCTIVE OR INVERSE APPLICATION OF THE THEORY 

 OF PROBABILITY. 



1. The Inductive or Inverse Application of the Theory . . . .240 



2. Principle of the Inverse Method 242 



3. Simple Applications of the Inverse Method 244 



4. The Theory of Probability in Astronomy 247 



5. The General Inverse Problem ,. j, .- , . . *J50 



6. Simple Illustration of the Inverse Problem 258 



7. General Solution of the Inverse Problem . 255 



8. Rules of the Inverse Method . . . ... .,..-,.. . .257 



9. Fortuitous Coincidences - . . . . .261 



1 0. Summary of the Theory of Inductive Inference .... 265 



