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Forum index » Science and Technology » Math » num-analysis
DOES MATHS HAVE ALL ANSWERS?
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Dave
science forum beginner


Joined: 03 Feb 2006
Posts: 27

PostPosted: Sat Jun 17, 2006 10:51 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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Robert Kolker
science forum Guru


Joined: 23 Apr 2005
Posts: 1756

PostPosted: Sat Jun 17, 2006 12:38 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?

Mathematics, as such, has no empirical content. So if it expresses
knowledge, then knowledge of what?

Bob Kolker
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Dave
science forum beginner


Joined: 03 Feb 2006
Posts: 27

PostPosted: Sat Jun 17, 2006 5:16 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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Julian V. Noble
science forum Guru Wannabe


Joined: 03 May 2005
Posts: 148

PostPosted: Sat Jun 17, 2006 5:45 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Robert J. Kolker wrote:
Quote:
Dave wrote:

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?

Mathematics, as such, has no empirical content. So if it expresses
knowledge, then knowledge of what?

Bob Kolker

Don't feed the trolls, for Heaven's sake. It makes them hang around.


--
Julian V. Noble
Professor Emeritus of Physics
University of Virginia
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rudnyi
science forum addict


Joined: 20 May 2005
Posts: 75

PostPosted: Sun Jun 18, 2006 7:42 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Quote:
When i ask for a relation between maths and global knowledge .

I guess that it would be good to start with the relationship between
science and global knowledge first. It is good to review philosophers
especially those who were working on philosopy of science. I would
recommend Popper and Feierabend.

http://en.wikipedia.org/wiki/Paul_Feyerabend
http://en.wikipedia.org/wiki/Karl_Popper

Quote:
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.

I am a chemist by background. My answer to whether chemistry can be
based on math only is definite no.

When you say "based on math", what do you mean? Say, some artificial
intelligence that can answer any question in chemistry? Or a tool that
can predict any chemical properties "in silico"?

The first line of the development is close to Prolog-like approaches.
It is based on empirical databases and, in my understanding, the
question where from these databases come is outside of the
consideration here.

The second line is to "first principle" modeling based on quantum
chemistry and then molecular dynamics. Yet, ... Well, look on modern
"drug design" and then you will understand what I mean.

Evgenii
--
http://Evgenii.Rudnyi.Ru/
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Han de Bruijn
science forum Guru


Joined: 18 May 2005
Posts: 1285

PostPosted: Mon Jun 19, 2006 8:30 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Evgenii Rudnyi wrote:

Quote:
When i ask for a relation between maths and global knowledge .

I guess that it would be good to start with the relationship between
science and global knowledge first. It is good to review philosophers
especially those who were working on philosopy of science. I would
recommend Popper and Feierabend.

http://en.wikipedia.org/wiki/Paul_Feyerabend
http://en.wikipedia.org/wiki/Karl_Popper

Bad advice, I think. What do philosophers actually _know_ about science?

Quote:
I am a chemist by background. My answer to whether chemistry can be
based on math only is definite no.

Good answer.

Han de Bruijn
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rudnyi
science forum addict


Joined: 20 May 2005
Posts: 75

PostPosted: Tue Jun 20, 2006 7:57 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

Quote:
http://en.wikipedia.org/wiki/Paul_Feyerabend
http://en.wikipedia.org/wiki/Karl_Popper

Bad advice, I think. What do philosophers actually _know_ about science?

If you read the books then you will see that they do know a lot. I
enjoyed reading their books a lot. Especially Feyerabend's "Against
Method: Outline of an Anarchistic Theory of Knowledge". Try it.

Evgenii
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Ed
science forum beginner


Joined: 27 May 2005
Posts: 11

PostPosted: Sat Jun 24, 2006 5:05 am    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?

Regards and thanks


Dave,

If I understand the meaning of your question, the Answer is no -
Mathematics is enumerative. Knowledge is analytic.

ED
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