From: [EMAIL PROTECTED] [EMAIL PROTECTED] On Behalf Of glen e. p. ropella
[EMAIL PROTECTED]
Sent: Wednesday, October 08, 2008 7:42 AM
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] Wittgenstein
Thus spake John F. Kennison circa 10/07
I would like to respond to Wittgenstein's idea that a mathematical proof should
be called an invention rather than a discovery. When solving a Suduko puzzle, I
often produce a logical deduction that the solution is unique. It seems clear
to me that I discovered that there is only one
PROTECTED] On Behalf Of glen e. p. ropella
[EMAIL PROTECTED]
Sent: Tuesday, October 07, 2008 2:21 PM
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] Wittgenstein
Thus spake John F. Kennison circa 10/07/2008 10:53 AM:
Okay, suppose someone else simply entered some
information is generally that
our information is limited, and significantly under represents the phenomena we
observe .
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of John F. Kennison
Sent: Friday, September 05, 2008 2:08 PM
To: The Friday Morning Applied Complexity Coffee Group
Hi,
I have been trying to figure out what my position on reductionism might be, but
I am running into problems. Does reductionism mean a belief that the best
strategy is always to analyze complex things in terms of simpler components
(with, I presume, a small number of irreducible parts)? Or
I think Nick said it well, except, perhaps, for the fingers. Expressed in
another way, it is impossible to have a perfect circle in which both the
diameter and the circumference are a whole number of inches (or of any other
unit of distance, such as kilometers or light years). Since pi is the
Further thoughts on categories and their applications.
References: Toposes. Theories and Triples can be found at Michael Barr's home
page, www.math.mcgill.ca/barr/. The notes suggested by Jochen, below, are a
good starting point.
Applications: There are a lot of different types of categories
a cultural change and so the initial explanations
we seek have to resonate broadly at that level if we are going to set a
foundation for not fooling ourselves (and our clients) when things get
more formal.
And I always liked the idea of using stuff as a technical term.
Carl
John F. Kennison wrote
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] Intro
Welcome, John. I hope you can visit Santa Fe and give us a rich briefing on
category theory.
All the best,
Tom Johnson
On Mon, Aug 11, 2008 at 8:11 PM, John F. Kennison [EMAIL
PROTECTED]mailto:[EMAIL PROTECTED] wrote:
Hi
Hi,
My name is John Kennison and I am glad to be welcomed to the Friam group. I am
a retired Math professor and have been a friend and colleague of Nick
Thompson's for many years. My field is category theory and I am interested in
all kinds of applications of categories to other areas of math,
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