FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups 
 ProfileProfile   PreferencesPreferences   Log in to check your private messagesLog in to check your private messages   Log inLog in 
Forum index » Science and Technology » Math » Symbolic
DOES MATHS HAVE ALL ANSWERS?
Post new topic   Reply to topic Page 1 of 1 [4 Posts] View previous topic :: View next topic
Author Message
Dave111
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
Back to top
Dan in NY
science forum beginner


Joined: 26 Mar 2005
Posts: 20

PostPosted: Fri Jun 23, 2006 10:28 am    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

"Dave" <kohonen@hotmail.com> wrote in message
news:3743077.1150541544796.JavaMail.jakarta@nitrogen.mathforum.org...
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
&&&


Greetings Dave and other readers,

I will give a qualified but resounding opinion, "No, IMHO, mathematics
doesn't have all the answers." In mathematics we use definitions and axioms
to set up a system of thought. Using Mathematics, a person can do no more
than to make conjectures, then either demonstrate them, prove them true or
prove them false.

Before I retired, I was a programmer. I know that sometimes a computer
makes an error but much more often the computer does what the programmer
tells it to do -- whether it the results are intended or not. A similar
thing happens with mathematics. In order to apply mathematics to express
any knowledge, either one must make assumptions to make the knowledge fit
the mathematical system -- or -- create a mathematical system to fit the
knowledge. Usually this only gives an approximate result because the
assumptions don't fit the thought.

I will give one example. Consider equilateral triangles. In Geometry lots
of theorems are proved about them. However, if it is attempted to use these
triangles to apply it to knowledge, one soon realizes that assumptions are
needed. No one can actually create a "real' equilateral triangle. How can
one know whether all the sides are equal? No, to use the mathematics, one
needs to assume that they are equal -- or assume something else then prove
they are equal. One cannot even measure one side of a triangle exactly.

Years ago, I took a semester graduate course (that met three days a week) to
follow the proof that there are undecidable questions in any mathematical
system. The professor made a believer out of me. I surfed with Google and
got over 100,000 hits for 'Gödel undecidable'. One of them is
http://en.wikipedia.org/wiki/G%C3%B6del's_incompleteness_theorem.

Enough of my babble. I tried to give a serious answer to the question in
the subject of this thread and I don't even know whether anyone cared to get
one.
--
Dan in NY
(for email, exchange y with g in
dKlinkenbery at hvc dot rr dot com)
Back to top
Mark Lawton
science forum beginner


Joined: 22 Mar 2006
Posts: 11

PostPosted: Fri Jun 30, 2006 4:19 pm    Post subject: Re: DOES MATHS HAVE ALL ANSWERS? Reply with quote

IMO, you could do a lot worse than starting your quest by looking at
set/list logic. Here's a relevant Wikipedia article:
http://en.wikipedia.org/wiki/Set

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
Back to top
mathsrwc
science forum beginner


Joined: 04 Oct 2006
Posts: 4

PostPosted: Mon Oct 16, 2006 4:13 am    Post subject: Reply with quote

Is there anything Wikipedia doesnt know?!

It is also so up to date - I remember when Steve irwin died they had it up there before most news services had broadcast it.
Back to top
Google

Back to top
Display posts from previous:   
Post new topic   Reply to topic Page 1 of 1 [4 Posts] View previous topic :: View next topic
The time now is Fri Jun 23, 2017 10:26 am | All times are GMT
Forum index » Science and Technology » Math » Symbolic
Jump to:  

Similar Topics
Topic Author Forum Replies Last Post
No new posts discrete maths book (after searching archives) arnuld Math 3 Tue Jul 18, 2006 4:10 pm
No new posts typographic symbols, geometry, maths puzzle mixi.mo@virgin.net Math 20 Thu Jun 22, 2006 5:54 pm
No new posts DOES MATHS HAVE ALL ANSWERS? Dave111 Math 10 Sat Jun 17, 2006 10:52 am
No new posts DOES MATHS HAVE ALL ANSWERS? Dave111 num-analysis 7 Sat Jun 17, 2006 10:51 am
No new posts DOES MATHS HAVE ALL ANSWERS? Dave111 Undergraduate 7 Sat Jun 17, 2006 10:50 am

Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums  |  send newsletters
 


Powered by phpBB © 2001, 2005 phpBB Group
[ Time: 0.0240s ][ Queries: 16 (0.0041s) ][ GZIP on - Debug on ]