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Harvey, Some Food For Thoughts.

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Posted by Alexander on January 17, 2002 17:01:48 UTC

Harvey, you (or Dick, or Pyrrhorists, etc) are kind of close to truth. Math does not indeed determine anything, it just re-labeling complex combination of symbols by smaller number of them (say, what do we call a derivative y' ? Simply the procedure: take small change in x, calculate corresponding to it change in y, take the ratio of them and find this ratio at the limit when the change in x becomes smaller and smaller: y' = lim (delta y/delta x).

So, math indeed just re-labels axioms - and thus, say, energy conservation law is as accurate as a symmetry of time (because it is one and the same thing).

So, IF our universe happens to be time- and space-independent (in a jargon we say as that time and space are symmetric) then it HAS to obey conservation rules. We call those conservation rules "natural laws" and thus call such behavior as "natural way".

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