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Forum index » Science and Technology » Math » Undergraduate
DOES MATHS HAVE ALL ANSWERS?
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Dave111
science forum beginner


Joined: 03 Feb 2006
Posts: 27

PostPosted: Tue Jun 20, 2006 9:27 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Hi, first of all thanks for giving your important knowledge to this forum. Let me read the Teorem and I will discuss it with u. (Im not of those smart guys, just a young person wanna keep learning Smile ).


Regards!!
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standelds
science forum addict


Joined: 09 Sep 2005
Posts: 55

PostPosted: Mon Jun 19, 2006 3:30 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

As I am just finishing my BS in Applied Math, I don't put myself in the same
group as the smart guys who read and respond to the questions on this group,
but it would seem to me that Godel's Incompleteness Theorem at least in part
answers this question.

I am referring to the following part:

For any consistent formal theory that proves basic arithmetical truths, it
is possible to construct an arithmetical statement that is true 1 but not
provable in the theory. That is, any consistent theory of a certain
expressive strength is incomplete.

from http://en.wikipedia.org/wiki/Godel%27s_incompleteness_theorem

So it would seem impossible to me to develop this kind of knowledge that you
are talking about.

Since noone else has yet brought it up, maybe I am misunderstanding the
question or the theorem. If I am, can one of the smart guys explain to me
my mistakes?

Dustin Standel



"Dave" <kohonen@hotmail.com> wrote in message
news:7022674.1150564652944.JavaMail.jakarta@nitrogen.mathforum.org...
Quote:
First of all, thanks for your answer.

When i ask for a relation between maths and global knowledge .
For example, for an architect,we can build a system that can have a
conversation with a person and then the program can tell us the dimensions
of a building, and technical parameters based on some maths
expressions.....but...can we have expressions of the konwledge as itself??

Actualy I am finishing Computer Science, Ive studied Information Theory,
Knowledge Ingeniering, Neurocomputation, Artificial Intelligence, and
other disciplines that gave to me a very interesting focus of the
knowledge of human being... I I trust that maths can explain everything,
and when I mean everything I am talking about expressions that can explain
the "learning" , the "intention", and everything that a human mind can do.
I wonder if its possible to study a new discipline or, to create it if it
doesnt exist, to create the human knowledge, but based on maths, just on
maths.
So I will try to work on it when i do mi PhD, but, I kno that u are people
that know a lot of maths, and i was wondering what do you think, or what
have u heard abot this.

Thanks a lot!!!
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Frederick Williams
science forum addict


Joined: 19 Nov 2005
Posts: 97

PostPosted: Sat Jun 17, 2006 5:44 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Dave wrote:
Quote:

...

... I trust that maths can explain everything, and when I mean > everything I am talking about expressions that can explain the > "learning" , the "intention", and everything that a human mind can > do.
...

That's asking a lot. Surely we don't yet have an understanding of the
human mind(*) much less a mathematical theory of it.

(* Assuming that there is such a thing as the mind as distinct from
material stuff only.)

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Dave111
science forum beginner


Joined: 03 Feb 2006
Posts: 27

PostPosted: Sat Jun 17, 2006 5:17 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

First of all, thanks for your answer.

When i ask for a relation between maths and global knowledge .
For example, for an architect,we can build a system that can have a conversation with a person and then the program can tell us the dimensions of a building, and technical parameters based on some maths expressions.....but...can we have expressions of the konwledge as itself??

Actualy I am finishing Computer Science, Ive studied Information Theory, Knowledge Ingeniering, Neurocomputation, Artificial Intelligence, and other disciplines that gave to me a very interesting focus of the knowledge of human being... I I trust that maths can explain everything, and when I mean everything I am talking about expressions that can explain the "learning" , the "intention", and everything that a human mind can do.
I wonder if its possible to study a new discipline or, to create it if it doesnt exist, to create the human knowledge, but based on maths, just on maths.
So I will try to work on it when i do mi PhD, but, I kno that u are people that know a lot of maths, and i was wondering what do you think, or what have u heard abot this.

Thanks a lot!!!
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cody.roux@gmail.com
science forum beginner


Joined: 30 Apr 2006
Posts: 34

PostPosted: Sat Jun 17, 2006 3:30 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Dave a écrit :

Quote:
Hi everyone, I wonder if there is a discipline in maths to express knowledge, i mean, to express knowledge by mathematics expressions...is it possible?

Regards and thanks

I doubt that this is what you are looking for, but I thought you might
whant to check: http://en.wikipedia.org/wiki/Information_theory


Thanks,

Cody
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Frederick Williams
science forum addict


Joined: 19 Nov 2005
Posts: 97

PostPosted: Sat Jun 17, 2006 12:49 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Dave wrote:
Quote:

Hi everyone, I wonder if there is a discipline in maths to express knowledge, i mean, to express knowledge by mathematics expressions...is it possible?

There is a logic of knowledge and belief. See
http://www.seop.leeds.ac.uk/entries/logic-epistemic/ and its
bibliography.

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G.E. Ivey
science forum Guru


Joined: 29 Apr 2005
Posts: 308

PostPosted: Sat Jun 17, 2006 11:28 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Quote:
Hi everyone, I wonder if there is a discipline in
maths to express knowledge, i mean, to express
knowledge by mathematics expressions...is it
possible?

Regards and thanks
I was under the impression that ALL mathematical formulas, in ALL disciplines of mathematics, expressed some knowledge! All formulas, all statements, MEAN something and so express knowledge. What do you mean by "express knowledge by mathematical expressions"?


To answer the completely different question in your heading "does maths have all answers"- certainly not- and no one has ever claimed it did.
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Dave111
science forum beginner


Joined: 03 Feb 2006
Posts: 27

PostPosted: Sat Jun 17, 2006 10:50 am    Post subject: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Hi everyone, I wonder if there is a discipline in maths to express knowledge, i mean, to express knowledge by mathematics expressions...is it possible?

Regards and thanks
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