FREE BOOKS

Author's List




PREV.   NEXT  
|<   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99  
100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   >>   >|  
not pass them over altogether. As to the statement that time is a _necessary_ idea, we may freely admit that we cannot in thought _annihilate_ time, or _think it away_. It does not seem to mean anything to attempt such a task. Whatever time may be, it does not appear to be a something of such a nature that we can demolish it or clear it away from something else. But is it necessarily absurd to speak of a system of things--not, of course, a system of things in which there is change, succession, an earlier and a later, but still a system of things of some sort--in which there obtain no time relations? The problem is, to be sure, one of theoretical interest merely, for such a system of things is not the world we know. And as for the infinity of time, may we not ask on what ground any one ventures to assert that time is infinite? No man can say that infinite time is directly given in his experience. If one does not directly perceive it to be infinite, must one not seek for some proof of the fact? The only proof which appears to be offered us is contained in the statement that we cannot conceive of a time before which there was no time, nor of a time after which there will be no time; a proof which is no proof, for written out at length it reads as follows: we cannot conceive of a time _in the time_ before which there was no time, nor of a time _in the time_ after which there will be no time. As well say: We cannot conceive of a number the number before which was no number, nor of a number the number after which will be no number. Whatever may be said for the conclusion arrived at, the argument is a very poor one. When we turn to the consideration of time as infinitely divisible, we seem to find ourselves confronted with the same difficulties which presented themselves when we thought of space as infinitely divisible. Certainly no man was immediately conscious of an infinite number of parts in the minute which just slipped by. Shall he assert that it did, nevertheless, contain an infinite number of parts? Then how did it succeed in passing? how did it even _begin_ to pass away? It is infinitely divisible, that is, there is no end to the number of parts into which it may be divided; those parts and parts of parts are all successive, no two can pass at once, they must all do it in a certain order, one after the other. Thus, something must pass _first_. What can it be? If that something has parts, is divisi
PREV.   NEXT  
|<   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   96   97   98   99  
100   101   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   >>   >|  



Top keywords:
number
 

infinite

 
things
 

system

 
infinitely
 

conceive

 

divisible

 
thought
 

directly

 

assert


Whatever
 

statement

 

consideration

 

divisi

 

confronted

 
argument
 

arrived

 
conclusion
 
successive
 

succeed


passing

 

divided

 

presented

 

difficulties

 

Certainly

 

immediately

 

slipped

 

conscious

 

minute

 

necessarily


absurd
 

earlier

 

change

 
succession
 

demolish

 

nature

 

freely

 

altogether

 
annihilate
 
attempt

obtain

 

perceive

 
experience
 

written

 

contained

 

appears

 

offered

 

ventures

 

interest

 

theoretical