>Just out of curiosity, if anyone knows about this and perhaps can correct or
>confirm my understanding :
>
>doesn't Godel's proof, insofar as it demonstrates (among other things) that
>the number system cannot be reduced to logic (at least the Russell/Whitehead
>attempt), lead necessarily to a recognition of numbers as existent (not as
>abstract sets or classes), and hence lend support to an affirmation of the
>existence of ideal objects outside the human head? This would seem to be a
>good field in which to explore Ilyenkov's notion of the ideal as well.
>
>btw, is the reading Vygotsky's "crisis" or Laszlo's?
>
>Paul H. Dillon
Paul,
From my point of view, I'd have to point out that this appears to be
an example of either not distinguishing between the mental constructs
we form to explain experience and whatever it is we imagine gives
rise to that experience or a case of making without stating it the
assumption of realism. The article I pointed to indicates that there
are other options we should consider.
Dewey
-- (As of 12/21/01 the mailserver email.boisestate.edu will cease to exist. My new address is: dewey@mac.boisestate.edu) +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Dewey I. Dykstra, Jr. Phone: (208)426-3105 Professor of Physics Dept: (208)426-3775 Department of Physics/MCF421/418 Fax: (208)426-4330 Boise State University dykstrad@email.boisestate.edu 1910 University Drive Boise Highlanders Boise, ID 83725-1570 novice piper: GHB, Uilleann"As a result of modern research in physics, the ambition and hope, still cherished by most authorities of the last century, that physical science could offer a photographic picture and true image of reality had to be abandoned." --M. Jammer in Concepts of Force, 1957.
"If what we regard as real depends on our theory, how can we make reality the basis of our philosophy? ...But we cannot distinguish what is real about the universe without a theory...it makes no sense to ask if it corresponds to reality, because we do not know what reality is independent of a theory."--S. Hawking in Black Holes and Baby Universes, 1993.
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