CONTENTS. 



BOOK II. 



NUMBER, VARIETY, ANi) PROBABILITY. 

 CHAPTER VIII. 



PRINCIPLES OF NUMBER. 

 SECTION PAGE 



1. Principles of Number 153 



2. The Nature of Number 156 



3. Of Numerical Abstraction . . . , 158 



4. Concrete and Abstract Number 159 



5. Analogy of Logical and Numerical Terms 160 



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 . '.'..'.. . . 171 



CHAPTER IX. 



TUB VARIETY OF NATUKB, OB THE DOOTKINK 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 



C. Pcawble Variety of Nature and Art . . . l&O 



7. Higher Orders of Variety 192 



CHAPTER X. 



THEORY OF PROBABILITY. 



1. Theory of Probability 197 



2. Fundamental Principles of the Theory 200 



S Rules for the Calculation of Probabilities 203 



i The Logical Alphabet in question* oi ProUbdity . 2Uf 



