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Problems that are proven to have no solution   Message List  
Reply | Forward Message #44 of 83 |
Re: Problems that are proven to have no solution

Greetings ... not sure what kind of problems you seek but what about
the proof that there is no general solution to a quintic (or higher)
polynomial with real coefficients? It is proved that there is no
solution in general form as exists for the quadratic, cubic and
quartic. Would this fit the bill?

Warren

> Hi Tim,
>
> Let me explain myself, all those problems have answer, for example
the Turing Halting is proved to not exist a Turing machine capable of
saying if another Turing machine will halt. The squaring the circle
is proven to not be able to be done and etc. I am looking for a
problem that is proven to have no answer I will give an example: I
have a problem A that says "is Y = Z ?" and I prove that answering
Y=Z or not(Y=Z) is impossible. so "is Y=Z?" has no answer. I am
looking for a problem in this class.
>
> I am still having problems trying to understand this thinking, I am
still not sure if not being able to answer A is similar to not being
able to answer "what is the Turing machines that says that another
Turing machines halts". Maybe A is different because it would be
closer to "I cannot prove that there is or there is no Turing machine
that says that another Turing machine halts". And in the problems
pointed by you I know that or there is or there is no answer for that.
>
>
>
> To: UnsolvedProblems@...: tsr21@...: Mon, 17 Nov 2008 23:43:50 -
0800Subject: Re: [UnsolvedProblems] Problems that are proven to have
no solution
>
>
>
>
>
> Hi Haskell,
>
> Well, there are several mathematical problems proved to be
impossible, such as squaring the circle, doubling the cube and
trisecting an angle. These are all very Google-able if you need more
details.
>
> Probably more what you're after, if I understand your question, is
Turing's Halting Problem, which goes to the heart of such questions.
Again, very Google-able.
>
> Hope this helps.
>
> Tim
>
>
>
> From: H A S K E L L <haskellboy@...>To: UnsolvedProblems@...:
Tuesday, November 18, 2008 11:22:18 AMSubject: [UnsolvedProblems]
Problems that are proven to have no solution
>
> Hi there,I am trying to find a problem that has been proven to have
no solutionand I need some help. I know that is the class of problems
called tobe undecidable but that only implies that this problem has a
yes or noquestion. Is there anything like an insolubility class ?
that impliesthat the question has no answer regard the answer, not
that it isstill to be solved but was proven that cannot be solved ?
>
>
>
>
>
>
> _________________________________________________________________
> Get more done, have more fun, and stay more connected with Windows
Mobile®.
> http://clk.atdmt.com/MRT/go/119642556/direct/01/
>





Wed Nov 19, 2008 12:51 am

matemath
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Message #44 of 83 |
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Hi there, I am trying to find a problem that has been proven to have no solution and I need some help. I know that is the class of problems called to be...
H A S K E L L
haskell3satc
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Nov 18, 2008
7:35 am

Hi Haskell, Well, there are several mathematical problems proved to be impossible, such as squaring the circle, doubling the cube and trisecting an angle. ...
Tim Roberts
tsr21
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Nov 18, 2008
7:43 am

Hi Tim, Let me explain myself, all those problems have answer, for example the Turing Halting is proved to not exist a Turing machine capable of saying if...
Haskell Curry
haskell3satc
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Nov 18, 2008
9:01 pm

Greetings ... not sure what kind of problems you seek but what about the proof that there is no general solution to a quintic (or higher) polynomial with real...
Warren
matemath
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Nov 19, 2008
1:32 am

No this problem still has an answer that "there is no general solution" the kind of problem I am looking would be more like "about the proof that cannot be...
H A S K E L L
haskell3satc
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Nov 19, 2008
8:45 pm
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