136 Mr Glover on Forms of Induction. 



of proof which would be always essential, were it not for the 

 indices supplied by prerogative facts. Indeed, we may regard 

 all those forms of inductive procedure but the third variety, as 

 derived from that simple form, by the introduction of preroga- 

 tive facts within the spheres of the different genera existing in 

 nature. Thus, as the science becomes more elevated and com- 

 plicated, there is the greater power possessed of arriving at ex- 

 tensive inferences by means of well related facts. But it must 

 be borne in mind, that the prerogative facts are those needing 

 most the resources of experiment and calculus, in order to make 

 them known so as to be of use in drawing inductive inferences. 

 Residual facts are those left in a genus, uninvestigated, or rather 

 partially explored, in order that the prerogative facts may be 

 studied ; and that property of physical laws called anticipation, 

 is nothing more than the power possessed in some cases of abridg- 

 ing inductions by means of the prerogative facts. 



Thus, the great property of those prerogative facts is, that 

 they admit of being experimented on, being indeed, when com- 

 pletely known, exactly similar to the results of experiment ; 

 since they then afford a view of the relations of the properties 

 composing them in very varied circumstances; it follows, there- 

 fore, that to term a science an experimental science, is just as if 

 we were to say, that it abounds in prerogative facts. So that if 

 the science of mind be, or be not, an experimental science, the 

 question can best be determined by seeing whether its facts admit 

 of being classified into some such heads, as the prerogative in- 

 stances of Bacon, contained in the Novum Organon. 



Many applications might be made of the observations in this 

 essay, if these latter be founded on truth. In particular, the 

 history of science might perhaps be elucidated still further 

 through their means. 



Note.-^lt is proposed to term the forms of induction described above in 

 tbeir order. 1. Simple. 2. Enumerative. 3. Prerogative ; and 4. Complex. 

 The following formulas will express the simple and prerogative forms. 1. Of 

 the Simple form. Let there be any number of instances, as n A ; and of 

 these some are found possessing the property a; before it can be said that 

 this a exists in all n A, they must be all examined ; and also the same must 

 be the case should a be found connected with the property b in any of n A, 

 before it could be said that a+b exists in all n A. And if a, ot a + b, should 



