VI CONTENTS. 



PAGE 



12. Both are continuous series, The compact series of rational 

 numbers is inadequate for correlation with their terms. 

 A new mode of correlation must be adopted which 

 involves the irrational numbers ... ... ... ... 30 



13. A brief inquiry into the question of the Objectivity of 



Space and Time 35 



CHAPTER II. 



14. The Objective, in actual thinking, enters into a secondary 

 synthesis whose object is to render the primary or 

 Objective data intelligible. This characteristic appears 

 in other conative processes besides Science 46 



15. For example, in the magic of savage races ( ; the differentia 

 being the nature of the secondary construction by which 

 the primary facts are apperceived ... ..." ... ... 48 



16. The same holds good of much of the so-called " science " of 



the Greeks ' , 51 



17. And of the earlier modern philosophers ... ... ... 53 



18. The writings of Keppler shew an interesting transition 

 from non-scientific to scientific conations dealing with the 

 same primary facts. The characteristic of the secondary 

 constructions of Science is that they aim at making the 

 Objective intelligible for its own sake ... ... ... 54 



19. Many individuals before the "age of science" must have 

 turned to the Objective in the scientific spirit, notably 

 Leonardo da Vinci 59 



CHAPTER III. 



20. Objective facts may be made intelligible by the aid of con- 

 cepts drawn from any context of experience, provided 

 that the foregoing test of the scientific character of the 

 secondary construction is satisfied ... ... ... ... 62 



21. Thus different scientific investigators may invoke, one the 

 concept of purpose, the other the concept of physical law 

 to interpret the behaviour of living organisms ... ... 64 



22. Bunge and Jennings defend their respective methods upon 



general grounds ... ... ... ... ... ... 66 



23. But while there is, ultimately, a question of fact involved, 

 at the present stage the divergency of method really 

 illustrates the freedom of choice of the investigator for 

 which we contend 67 



24. The discussion leads us to regard " causal " and " final " 



explanations from a new point of view 68 



