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Re: [Marxism] Re: [PEN-L] More Godel
- To: Activists and scholars in Marxist tradition <marxism@xxxxxxxxxxxxxxxxxxx>
- Subject: Re: [Marxism] Re: [PEN-L] More Godel
- From: Rod Holt <rholt@xxxxxxxxxxxxxx>
- Date: Fri, 18 Mar 2005 21:34:54 -0800
- User-agent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X Mach-O; en-US; rv:1.4) Gecko/20030624 Netscape/7.1
I am grateful for Jim Farmelant quick response. I made the mistake of
running off hunting for my copies of Gödel's stuff and Kleene's book. My
life is in boxes in a dozen storage lockers with the inventories reading
"six boxes of books," "Books and papers, 10 boxes," etc. It's awful.
It was a real pleasure to read Gödel again. The translation is not
familiar to me and the notation is non-standard (at least in the English
world) so it takes a bit of getting used to. There are parts that need
unraveling a bit, and some preliminary concepts will help comrades. This
I will get to as fast as possible.
thanx, rod
Jim Farmelant wrote:
On Fri, 18 Mar 2005 11:15:15 -0800 Rod Holt <rholt@xxxxxxxxxxxxxx>
writes:
Friends one & all:
Any body who says "... Gödel kicked the whole [formalist program]
over,"
and then goes on to Hofsteader make me stop reading.
I have a question: Why don't people read GÖDEL in stead of reading
about
him?
Kurt Gödel's paper, "On formally undecidable propositions
of Principia Mathematica and related systems," can
be found online at:
http://home.ddc.net/ygg/etext/godel/godel3.htm
It probably won't hurt to have a good grasp of
predicate logic, set theory, and the theory of recursive
functions to understand Gödel's proof, although
the underlying idea is not that hard to grasp, which
is that just as Russell and Whitehead were able to
show that the axioms of Arithmetic could be formulated
in the notation of mathematical logic, so the propositions
of Russell & Whitehead's mathematical logic could
be formulated in terms of the arithmetic of natural
numbers.
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