No. MATHEMATICAL induction is actually serial DEduction.
I was talking about plain old vanilla philosophical induction: The fallacy is
that without deduction, induction can't get you anywhere, and that people who
think they are getting somewhere through induction alone are so caught up in an
ideology that they cannot see their dependency on deduction.
As I have watched the thread develop, I have been less and less sure that my
comment was relevant.
Nick
Nicholas S. Thompson
Emeritus Professor of Psychology and Ethology,
Clark University ([email protected])
http://home.earthlink.net/~nickthompson/naturaldesigns/
http://www.cusf.org [City University of Santa Fe]
----- Original Message -----
From: Owen Densmore
To: [email protected];The Friday Morning Applied Complexity Coffee
Group
Sent: 4/25/2010 1:15:22 PM
Subject: Re: [FRIAM] Why are there theorems?
On Apr 24, 2010, at 11:26 PM, Nicholas Thompson wrote:
Because of the fallacy of induction?
Do you mean this induction:
http://en.wikipedia.org/wiki/Mathematical_induction#Description
I.e. are you interested in proofs over the positive integers?
-- Owen============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org
