Date: Mar 25, 2013 12:14 PM
Author: David Petry
Subject: Re: Mathematics and the Roots of Postmodern Thought
On Monday, March 25, 2013 7:37:18 AM UTC-7, Dan wrote:
> On Mar 25, 7:28 am, david petry <david_lawrence_pe...@yahoo.com>
> > Mathematics and the Roots of Postmodern Thought
> > Author: Vladimir Tasi?
> > Oxford University Press, 2001
> > "[this book] traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century" -- from a blurb appearing in Google Books
> > I've always thought there was a connection:
> > Theorem: Truth, reality and logic are mere social constructs.
> > Proof: By Godel's theorem, yada, yada, yada
> > I actually believe that postmodernism is driving western civilization into a dark ages. And I think that's a good reason for getting mystical metaphysical nonsense out of mathematics. But no one seems to care.
> Rather ironic that you're attempting to use Godel's theorem to
> undermine meaning in mathematics .
Actually I'm not. The point I was alluding to is that whenever I see postmodernism discussed on the Internet, Godel's theorem always seems to come up. I think that's silly.
Here's what I actually believe: Falsifiability, which is the cornerstone of scientific reasoning, can be formalized in such a way that it can serve as the cornerstone of mathematical reasoning. And in fact, it's already part of the reasoning used by applied mathematicians; ZFC, which is not compatible with falsifiability, is not a formalization of the mathematical reasoning used in applied mathematics. Also, Godel's proof is not compatible with falsifiability.
It is falsifiability that gives mathematics meaning.
> any well defined program either
> halts of does not halt , always .
Of course, the constructivists who reject the Law of the Excluded Middle, disagree.