CONTENTS. 



BOOK II. 



NUMBER, VARIETY, ANi) PROBABILITY. 

 CHAPTER VIII. 



PRINCIPLES OF NPMBER. 

 SECTION PAGE 



1. Principles of Number 153 



2. The Nature of Number . . . 



3. Of Numerical Abstraction . . 



4. Concrete and Abstract Number . 



5. Analogy of Logical and Numerical Terms 



156 

 158 

 159 

 160 



6. Principle of Mathematical Inference . 162 



7. Reasoning by Inequalities 105 



8. Arithmetical Reasoning . 167 



9. Numerically Definite Reasoning 168 



10. Numerical meaning of Logical Conditions 171 



CHAPTER IX. 



THE VARIETY OF NATURE, OR THE DOCTRINE OF COMBINATIONS 

 AND PERMUTATIONS. 



1. The Variety of Nature 173 



2. Distinction of Combinations and Permutations 177 



3. Calculation of Number of Combinations 180 



4. The Arithmetical Triangle 182 



5. Connexion between the Arithmetical Triangle and the Logical 



Alphabet 189 



t\ Possible Variety of Nature and Arc 190 



7. Higher Orders of Variety 192 



CHAPTER X. 



THEORY OF PROBABILITY. 



1. Theory of Probability .... . . 197 



2. Fundamental Principles of the Theory 200 



S. Boles for the Calculation of Probabilities , . . . . . .208 



4. Th Logical Alphabet in quentiona of Probability . 205 



