FREE BOOKS

Author's List




PREV.   NEXT  
|<   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200  
201   202   203   204   205   206   207   208   209   210   211   212   213   214   215   216   217   218   219   220   221   222   223   224   225   >>   >|  
the mathematical order with itself, however elaborate we may suppose it, can introduce an atom of novelty into the world, whereas this power of creation once given (and it exists, for we are conscious of it in ourselves, at least when we act freely) has only to be diverted from itself to relax its tension, only to relax its tension to extend, only to extend for the mathematical order of the elements so distinguished and the inflexible determinism connecting them to manifest the interruption of the creative act: in fact, inflexible determinism and mathematical order are one with this very interruption. It is this merely negative tendency that the particular laws of the physical world express. None of them, taken separately, has objective reality; each is the work of an investigator who has regarded things from a certain bias, isolated certain variables, applied certain conventional units of measurement. And yet there is an order approximately mathematical immanent in matter, an objective order, which our science approaches in proportion to its progress. For if matter is a relaxation of the inextensive into the extensive and, thereby, of liberty into necessity, it does not indeed wholly coincide with pure homogeneous space, yet is constituted by the movement which leads to space, and is therefore on the way to geometry. It is true that laws of mathematical form will never apply to it completely. For that, it would have to be pure space and step out of duration. We cannot insist too strongly that there is something artificial in the mathematical form of a physical law, and consequently in our scientific knowledge of things.[84] Our standards of measurement are conventional, and, so to say, foreign to the intentions of nature: can we suppose that nature has related all the modalities of heat to the expansion of the same mass of mercury, or to the change of pressure of the same mass of air kept at a constant volume? But we may go further. In a general way, _measuring_ is a wholly human operation, which implies that we really or ideally superpose two objects one on another a certain number of times. Nature did not dream of this superposition. It does not measure, nor does it count. Yet physics counts, measures, relates "quantitative" variations to one another to obtain laws, and it succeeds. Its success would be inexplicable, if the movement which constitutes materiality were not the same movement which, prolonged by us to
PREV.   NEXT  
|<   176   177   178   179   180   181   182   183   184   185   186   187   188   189   190   191   192   193   194   195   196   197   198   199   200  
201   202   203   204   205   206   207   208   209   210   211   212   213   214   215   216   217   218   219   220   221   222   223   224   225   >>   >|  



Top keywords:
mathematical
 
movement
 
suppose
 
measurement
 

matter

 

physical

 

objective

 

things

 

conventional

 

nature


wholly

 

determinism

 

extend

 

inflexible

 

tension

 

interruption

 

intentions

 
physics
 
obtain
 

succeeds


success

 

expansion

 
related
 

modalities

 

prolonged

 

artificial

 
quantitative
 

insist

 

strongly

 
scientific

variations

 
measures
 

counts

 

standards

 
knowledge
 

relates

 

foreign

 

inexplicable

 

ideally

 

superpose


implies

 
operation
 
superposition
 

constitutes

 

Nature

 

number

 

objects

 

materiality

 

measuring

 
general