FREE BOOKS

Author's List




PREV.   NEXT  
|<   235   236   237   238   239   240   241   242   243   244   245   246   247   248   249   >>  
ption to be possible, we already know it to be actual, and if we know it to be actual, we already know it to be necessary. A complex conception in the proper sense is the apprehension of a complex of elements together with the apprehension of, or insight into, their connexion.[13] Thus, in the case of the conception of a triangle we see that the possession of three sides necessitates the possession of three angles. From such a conception must be distinguished Kant's 'fictitious' conception, i. e. the apprehension of a complex of elements without the apprehension of connexion between them. Thus, in the case of the conception of a man with six toes, there is no apprehension of connexion between the possession of the characteristics indicated by the term 'man' and the possession of six toes. In such a case, since we do not apprehend any connexion between the elements, we do not really 'conceive' or 'think' the object in question, e. g. a man with six toes. Now in the case of a complex conception proper, it is impossible to think of a corresponding individual as only possible. The question 'Is a triangle, in the sense of a figure with three sides and three angles, possible?' really means 'Is it possible for a three-sided figure to have three angles?' To this question we can only answer that we see that a three-sided figure can have three angles, because we see that it must have, and therefore has, and can have, three angles; in other words, that we see a triangle in the sense in question to be possible, because we see it to be necessary, and, therefore, actual, and possible. It cannot be argued that our insight is limited to the fact that if there are three-sided figures they must be three-angled, and that therefore we only know a triangle in the sense in question to be possible. Our apprehension of the fact that the possession of three sides necessitates the possession of three angles presupposes knowledge of the existence of three-sided figures, for it is only in an actual three-sided figure that we can apprehend the necessity. It may, however, be objected that the question ought to mean simply 'Is a three-sided figure possible?' and that, understood in this sense, it cannot be answered in a similar way. Nevertheless, a similar answer is the right answer. For the question 'Is a three-sided figure possible?' really means 'Is it possible for three straight lines to form a figure, i. e. to enclose a space?' and we can only an
PREV.   NEXT  
|<   235   236   237   238   239   240   241   242   243   244   245   246   247   248   249   >>  



Top keywords:

figure

 

question

 
apprehension
 

possession

 

angles

 
conception
 

triangle


complex

 

actual

 

connexion

 

answer

 

elements

 
insight
 

figures


apprehend
 
similar
 
necessitates
 

proper

 

angled

 

limited

 

argued


Nevertheless

 
answered
 

straight

 

enclose

 

understood

 
simply
 

necessity


existence

 

knowledge

 

presupposes

 

objected

 

fictitious

 

characteristics

 

distinguished


individual

 

impossible

 
conceive
 

object