CONTENTS. 



SECTION PAGE 



5. Comparison of the Theory with Experience 206 



6. Probable Deductive Arguments 209 



7. Difficulties of the Theory 213 



CHAPTER XL 



PHILOSOPHY OK INDUCTIVE INFERENCE. 



1. Philosophy of Inductive Inference .... 218 



2. Various Classes of Inductive Truths 219 



3. The Relation of Cause and Meet 220 



4. Fallacious Use of the Term Cause 221 



5 Confusion of Two Questions 222 



6. Definition of the Term Cause 224 



7. Distinction of Inductive and Deductive Results 226 



8. The Grounds of Inductive Inference 228 



9. Illustrations of the Inductive Process 229 



10. Geometrical Reasoning 233 



11. Discrimination of Certainty and Probability 235 



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 S50 



6. Simple Illustration of the Inverse Problem 253 



7. General Solution of the Inverse Problem . 255 



8. Rules of the Inverse Method 257 



9. Fortuitous Coincidences 261 



10. Summary of the Theory of Inductive Inference .... 265 



