OF THE CALCULATION OF CHANCES. 77 



cannot go ; nor, in most cases, is greater precision required, 

 for the solution of any practical doubt* 



* For a fuller treatment of the many interesting questions raised by the 

 theory of probabilities, I may now refer to a recent work by Mr. Venn, 

 Fellow of Caius College, Cambridge, "The Logic of Chance j" one of the 

 most thoughtful and philosophical treatises on any subject connected with 

 Logic and Evidence, which have been produced in this or any other country 

 for many years. Some criticisms contained in it have been very useful to me 

 in revising the corresponding chapters of the present work. In several of 

 Mr. Venn's opinions, however, I do not agree. What these are will be ob- 

 vious to any reader of Mr. Venn's work who is also a reader of this. 



