Blunderov
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"We think in generalities, we live in details"
  
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RE: virus: Relativity, Uncertainty, Incompleteness and Undecidability
« on: 2005-09-14 02:58:25 » |
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[Blunderov] Helpful clarifications for me and perhaps for others too.
http://www.kuro5hin.org/story/2005/8/30/34954/4638
<snip>
By chato
Wed Aug 31st, 2005 at 08:45:49 PM EST
In this article four fundamental principles are presented: relativity,
uncertainty, incompleteness and undecidability. They were studied by,
respectively, Albert Einstein, Werner Heisenberg, Kurt Gödel and Alan
Turing. This is a very simple explanation without the technical details, but
which tries to show at least the general idea behind each principle. </snip>
<lightbulb moment>
<snip>
A "Blind Spot"?
These fundamental principles should not be taken as limitations to science,
and they do not exclude the existence of an objective reality. They are
rather limitations to some operations, such as making a measurement or
working with formal logic, that have to be taken into account to understand
natural phenomena...
...There is a certain relationship between these principles. Both relativity
and uncertainty arise from physics and are related to observations, while
incompleteness and undecidability arise from mathematics and are related to
the limitations of formalisms. Uncertainty and undecidability govern our
capacity of making predictions, while relativity and incompleteness are
related to the fact that references are necessary, but prevent us from doing
certain operations...
...The rules of the scientific game include relativity, uncertainty,
incompleteness and undecidability. From the point of view of science,
understanding these laws can lead us to new discoveries on how the universe
works. Through this particular "blind spot", we can see. </snip>
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