BERKELEY' S ANALYST (1734) 87 



then quotes from his own Analyst: " As it is im- 

 possible to conceive velocity without time or space, 

 without either finite length or finite duration, it 

 must seem above the power of man to comprehend 

 even the first fluxions. " In the endeavour to 

 explain this matter, Walton's skill has been " vain 

 and impertinent. " 



The Second Edition of Walton's Second Reply 

 108. Walton begins ^ by explaining what Newton 

 means by Velocity. It is "the ratio of the 

 Quantity of Motion to the Ouantity of Matter in 

 the body " ; that is, if V is the velocity, M the 

 quantity of motion, F the force generating the 

 motion, D the density, B the bulk or magnitude, 

 W the weight, then " V is M / Q, and is as F / W, 

 or as F / DB," for, '* the Quantity of Motion is the 

 Ouantity of Matter and Velocity taken together ; 

 that is, M is OV " (p. 35). "The Author [Berkeley] 

 therefore has been grossly mistaken in asserting 

 that Velocity necessarily implies both Time and 

 Space, and cannot be conceived without them. — 

 And that there is no Measure of Velocity except 

 Time and Space." It appears that "a body in 

 Motion, will bave a Velocity inherent in itself 

 during the Whole Time of its Motion : and conse- 

 quently there must be a Velocity where-ever the 

 Body is, exclusive of Time and Space ... its 



^ The Catechisvi of the Author of the Minute Philosopher fully 

 answer'd. The Second Edition. With an Appendix, in Answer to the 

 Reasonsfor not replying to Mr. Waltoiì s Tuli Ans7ver. By J. Walton 

 . . . Dublin : Printed by S. Powell, for William Smith at the Hercules, 

 Bookseller : in Dame-Street, 1735. 



