CONTENTS. 



BOOK II. 



NUMBER, VARIETY, AND PROBABILITY. 



CHAPTER VIII. 



PRINCIPLES OF NUMBER. 

 SECTION rA( *E 



1. Principles of Number 153 



2. The Nature of Number 156 



3. Of Numerical Abstraction 158 



4. Concrete and Abstract Number If 



5. Analogy of Logical and Numerical Terms 16 



6. Principle of Mathematical Inference 162 



7. Reasoning by Inequalities ' 165 



8. Arithmetical Reasoning 167 



9. Numerically Definite Reasoning 168 



10. Numerical meaning of Logical Conditions 1/1 



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 



6. Possible Variety of Nature and Art 190 



7. Higher Orders of Variety 192 



CHAPTER X. 



THEORY OF PROBABILITY. 



1. Theory of Probability 197 



2. Fundamental Principles of the Theory 200 



3. Rules for the Calculation of Probabilities 203 



4. The Logical Alphabet in questions of Probability 205 



