CONTENTS 



XV 



SEC. I'ACE 



11. Necessity belongs to the World of Conceptions, not to that of 



Perceptions . . . . ■ • .134 



12. Routine in Perception is a necessary Condition of Knowledge . 136 



13. Probable and Provable . . . . . -139 



14. Probability as to Breaches in the Routine of Perceptions . . 142 



15. The Bases of Laplace's Theory lie in an Experience of Ignorance . 143 



16. Nature of Laplace's Investigation .... 147 



17. The Permanency of Routine for the Future . . .148 

 Summary and Literature . . . . . .150 



CHAPTER V 



SPACE AND TIME 



1. Space as a Mode of Perception . 



2. The Infinite Bigness of Space 



3. The Infinite Divisibility of Space 



4. The Space of Memory and Thought 



5. Conceptions and Perceptions 



6. Sameness and Continuity 



7. Conceptual Space. Geometrical Boundaries 



8. Surfaces as Boundaries 



9. Conceptual Discontinuity of Bodies. The Atom 



10. Conceptual Continuity. Ether . 



11. On the General Nature of Scientific Conceptions 



1 2. Time as a Mode of Perception 



13. Conceptual Time and its Measurement 



14. Concluding Remarks on Space and Time 

 Summary and Literature 



152 

 157 

 159 

 162 

 164 

 167 

 170 

 172 



174 

 17S 

 179 

 181 

 186 

 190 

 191 



CHAPTER VI 



THE GEOMETRY OF MOTION 



1. Motion as the Mixed Mode of Perception 



2. Conceptual Analysis of a Case of Perceptual Motion. 



3. Rigid Bodies as Geometrical Ideals 



4. On Change of Aspect, or Rotation 



5. On Change of Form, or Strain 



6. Factors of Conceptual Motion 



7. Point-Motion. Relative Character of Position and Motion 



8. Position. The Map of the Path . 



9. The Time-Chart ..... 



10. Steepness and Slope .... 



11. Speed as a Slope. Velocity 



