CHAPTER I 



NEWTON 



2. It was in the year 1734 that Bishop Berkeley 

 made his famous attack upon the doctrine of 

 fluxions, which was the starting-point of ali philo- 

 sophical discussion of the new mathematics in 

 England during the eighteenth century. In what 

 foUows we quote from the writings of Newton that 

 were printed before 1734 sudi parts as bear on his 

 conceptions of fluxions, so that the reader may 

 judge for himself what grounds there were for 

 Berkeley's great assault. To assist us in the inter- 

 pretation of some of these printed passages, we 

 quote also from manuscripts and letters of Newton 

 which at that time were stili unprinted. In the 

 next chapter we give an account of the foundations 

 of fluxions as displayed by other writers in books 

 and articles printed in Great Britain before 1734. 

 It is hoped that the material contained in these first 

 two chapters will enable the student to foUow closely 

 and critically the debates on fluxions. 



Front Neivton's Publications printed before 1734 



I. Principia 

 3. Three editions of the Principia were brought 

 cut in Newton's lifetime ; the first in 1687, the 



