Date: Mar 26, 2013 3:51 PM
Author: dan.ms.chaos@gmail.com
Subject: Re: Mathematics and the Roots of Postmodern Thought
On Mar 26, 9:18 pm, david petry <david_lawrence_pe...@yahoo.com>

wrote:

> On Tuesday, March 26, 2013 4:05:38 AM UTC-7, Dan wrote:

> > GĂ¶del's theorem is here to stay .

>

> As I have argued previously, if we treat mathematics as a science and accept falsifiability as the cornerstone of mathematical reasoning, then Godel's theorem is utterly utterly trivial, while at the same time, his proof of the theorem is not a valid proof.

>

> https://groups.google.com/group/sci.math/msg/25be708362cb7e?

I've had a look at that post . Certainly an interesting viewpoint .

Let he who shows an inconsistency in PA cast the first stone . Godel

never intended his proof to be just a 'hollow formalism' .

In it there appears a complex interplay of 'numbers as symbols' and

'numbers as meaning' . There must always be a certain 'metaphysical

element' that eludes formalism in discussing consistency . I would

wager my life on PA being consistent. Would you do the same for the

inverse? By eliminating this element you create a false dichotomy

between two meaningless views of mathematics .

Of A and 'not A' , only one must be true . If scientists don't believe

us because they can't see the foundation upon which our method rests ,

then so be it . They certainly won't manage to disprove us .

If you ever manage to falsify Godel's theorem or PA , then we have

something to talk about .

Until then ,they remain true . You know what can't be falsified? The

truth . The final theory . If it is in concordance with Reality,

falsification equates to falsifying Reality itself . Mathematics is

reality . Reality is infinite , as is the mind . Our formal systems

are finite .Thus , the dichotomy that is Godel's theorem . The first

principle that is to be falsified when doing mathematics is the

principle of falsifiability .