AtD pg 675

[Mark Kohut]

Page has asked me to elaborate on Godel's Theorem and it
has occurred to me that I should have elaborated more in the original post.

Page:
Here are Godel's incompleteness theorems presented (adequately for my purposes ) by wikipedia. (If any
more knoweldgeable, more disciplined p-listers think wikipedia does it up wrong, enlighten please.)
Some p-lister's seem to have read the bestseller about Godel's theorems. I have not.
Gödel's incompleteness theorems
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In mathematical logic, Gödel's incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest.
The theorems are also of considerable importance to the philosophy of mathematics. They are widely regarded as showing that Hilbert's program to find a complete and consistent set of axioms for all of mathematics is impossible, thus giving a negative answer to Hilbert's second problem. Authors such as J. R. Lucas have argued that the theorems have implications in wider areas of philosophy and even cognitive science as well as preventing any complete Theory of Everything from being found in physics, but these claims are less generally accepted.

Hilbert (from AtD) is herein contained.

For my purposes in trying to explicate AtD, I might be arguing that Pynchon uses the "n + 1 indefinitely" notion fromn Kit to state in another way his
belief that science/;math can never provide any complete Theory of Everything. 

A-and, as I put out there, perhaps TRP was showing the open-endedness, the "freedom" of consciousness....infinitely renewable "intentionality" to use a concept some philosophers use........

OK, tell me I'm stretching it.........

Mark





----- Original Message ----
From: Page <page at quesnelbc.com>
To: Mark Kohut <markekohut at yahoo.com>
Sent: Saturday, January 5, 2008 7:39:20 PM
Subject: Re: AtD pg 675


Mark-- Please elaborate on Godel's theorem. There is something there, but, like Locke, I know not what. Thanks, Page
----- Original Message ----- 
From: Mark Kohut 
To: pynchon -l 
Sent: Saturday, January 05, 2008 8:27 AM
Subject: Fw: AtD pg 675




So, is this "seeing' perspective, Pynchon recognizing human consciousness
in 'grasping the cosmos? 
 
His way of, once more, indicating that the "answers" lie outside of pure math and 
scientific measurements? Always another step? 
 
Is this a kind of metaphoric Godel's theorem? 
 


 
----- Original Message ----
From: Michael J. Hußmann <michael at michael-hussmann.de>
To: pynchon-l at waste.org
Sent: Saturday, January 5, 2008 9:37:10 AM
Subject: Re: AtD pg 675

Richard Fiero (rfiero at gmail.com) wrote:

> ". . . he understood that this zigzagging around [yo-yoing?] around 
> through four-dimensional space-time might be expressed as a vector in 
> five dimensions.  Whatever the number of n dimensions it inhabited, 
> an observer would need one extra n+1, to see it and connect the end 
> points to make a single resultant."
> Why does Kit seem to think that n+1 dimensions are needed?

Good question. You don't need an extra dimension just for the resultant
vector, and you might just add up the individual vectors to draw the
resultant, all within n dimensions. But insofar as "seeing it" requires
an outside observer -- you cannot "see" a path on a two dimensional
surface unless you rise above this surface in a third dimension --,
another dimension becomes necessary.

- Michael


Michael J. Hußmann

E-mail: michael at michael-hussmann.de
WWW (personal): http://michael-hussmann.de
WWW (professional): http://digicam-experts.de








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