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Topic: Mathematics and the Roots of Postmodern Thought
Replies: 101   Last Post: Apr 7, 2013 10:38 PM

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 David Petry Posts: 1,104 Registered: 12/8/04
Re: Mathematics and the Roots of Postmodern Thought
Posted: Mar 25, 2013 10:32 PM

On Monday, March 25, 2013 2:19:09 PM UTC-7, Dan wrote:
> On Mar 25, 7:14 pm, david petry <david_lawrence_pe...@yahoo.com>
> wrote:

> > 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.

> Science originated from mathematics , not the other way around .

I doubt there's any truth to that at all.

We are born scientists. Children seek to understand the world around them; they do science. It's only later in life that they learn about the power of mathematics to help them reason about the world around them.

> To attempt to apply the ridiculous constraints of science to mathematics
> seems to me , frankly, ludicrous

If we agree that the purpose of mathematics is to help us reason about real world phenomena, then it most certainly is not ludicrous.

> The principle of falsifiability says roughly this : you have this
> mysterious entity , the world , like a black box , of which you don't
> assume nothing about . Absolutely nothing .

That's not really true. You "assume" that you are part of the world, and you "assume" that you are capable of reasoning about the world. Those are not trivial assumptions.

> Why this asymmetry? Never to prove, only to disprove . That is the
> burden of falsifiability . Anything certain is non-falsifiable, by
> definition . Certainty gives meaning , falsifiability erodes it.

Science: first you observe the world, then you build up a conceptual model of the world, then you consider the implications of that model, then you experimentally test those implications.

> Rather than attempting to extent falsifiability to Mathematics , we
> should attempt to extent the adamant principles of Mathematics to the
> World, thus freeing it from falsifiability .

> Godel's theorem is incompatible with falsifiability , but that is not
> an argument for its falseness ,

It's an argument for its silliness.

Date Subject Author
3/25/13 David Petry
3/25/13 fom
3/25/13 David Petry
3/25/13 fom
3/25/13 fom
3/25/13 David Petry
3/25/13 scattered
3/25/13 David Petry
3/25/13 fom
3/25/13 David Petry
3/25/13 fom
3/25/13 David Petry
3/25/13 fom
3/26/13 fom
3/30/13 Jesse F. Hughes
3/25/13 dan.ms.chaos@gmail.com
3/25/13 David Petry
3/25/13 fom
3/25/13 David Petry
3/25/13 fom
3/30/13 Jesse F. Hughes
3/30/13 fom
3/25/13 dan.ms.chaos@gmail.com
3/25/13 fom
3/25/13 David Petry
3/26/13 fom
3/26/13 Virgil
3/26/13 David Petry
3/26/13 fom
3/26/13 dan.ms.chaos@gmail.com
3/26/13 dan.ms.chaos@gmail.com
3/26/13 fom
3/26/13 dan.ms.chaos@gmail.com
3/26/13 fom
3/26/13 David Petry
3/26/13 dan.ms.chaos@gmail.com
3/26/13 Frederick Williams
4/2/13 Jesse F. Hughes
3/26/13 fom
3/26/13 fom
3/26/13 fom
3/29/13 Shmuel (Seymour J.) Metz
3/29/13 fom
3/30/13 Shmuel (Seymour J.) Metz
3/31/13 fom
3/30/13 Jesse F. Hughes
3/26/13 fom
3/30/13 Jesse F. Hughes
4/1/13 David Petry
4/1/13 fom
4/1/13 dan.ms.chaos@gmail.com
4/1/13 Frederick Williams
4/1/13 dan.ms.chaos@gmail.com
4/1/13 fom
4/1/13 dan.ms.chaos@gmail.com
4/1/13 Frederick Williams
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 David Petry
4/1/13 dan.ms.chaos@gmail.com
4/1/13 fom
4/1/13 fom
4/1/13 David Petry
4/1/13 Virgil
4/2/13 fom
4/1/13 fom
4/1/13 fom
4/1/13 fom
4/1/13 Virgil
4/1/13 Jesse F. Hughes
4/1/13 David Petry
4/1/13 Jesse F. Hughes
4/1/13 rt servo
4/1/13 fom
4/1/13 Jesse F. Hughes
4/1/13 fom
4/1/13 Virgil
4/1/13 David Petry
4/1/13 fom
4/1/13 Jesse F. Hughes
4/6/13 Rotwang
4/7/13 David Petry
4/7/13 Jesse F. Hughes
4/1/13 fom
4/1/13 David Petry
4/1/13 fom
3/25/13 bacle
3/29/13 HOPEINCHRIST