326 On Lifinites. 



ty in traiis'.iiting several technical words ; compare pp. 24, 

 38, 58, 62, 67, contents p. 7. The list of errata given at 

 the end, rni^ht be considerably extended. There are sev- 

 eral references that appear useless, pp. 68, 107. The 

 translation is very free from French idioms. The worst 

 we have noticed is at p. 7. Com'|)laints have been made 

 of the length of the problem commencing at p. 69. But 

 when tlie importance and extensive application of the doc- 

 trine of the changes of the signs corresponding to the differ- 

 ent directions of the couriers, and the difficult points illus- 

 trated in the course of the solution, are considered, the 

 student can hardly conclude that he has been unprofitably 

 occupied. A want of examples for practical exercise, has 

 been objected to the work. On this point, M. Lacroix fol- 

 lows the course of the French and other continental ma(he- 

 maticians, which is, to give an extensive investigation of 

 principles, and supply all necessary remarks ; and to de- 

 pend principally on the instructor to see that the student is 

 thoroughly versed in the practical application of them. 



METAPHYSICS. 



Art. XIV. — On Infinites. 



By Isaac Orr, one of the Instructors in the Asylum for 

 the Deaf and Dumb at Hartford. 



TO PROFESSOR SILLIMAN. 



Dear Sir, 



On account of the diversity of opinion on the subject ol 

 infinites, it is certainly highly desirable, that some person 

 competent to the undertaking should treat of them fully and 

 systematically, as far as the human mind is capable of in- 

 vestigating them. The analogy existing between the vari- 

 ous kinds of infinity would aid very much in their illustra- 

 tion. By the succeeding remarks, however, more humble 

 in their aim, and yet perhaps bolder than the result will jus- 

 tify, it is intended merely to point out some, at least appa- 

 rently, erroneous opinions that are prevalent, part of which. 



