Ki Song
Posts:
221
Registered:
9/19/09
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Re: Are there infinitely many counter examples for the GoldBach
Conjecture? Is it possible to find that out?
Posted:
Nov 10, 2012 10:07 AM
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On Friday, November 9, 2012 10:17:10 PM UTC-5, Nam Nguyen wrote:
> On 09/11/2012 4:26 PM, MoeBlee wrote:
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> > On Nov 8, 9:32 pm, Nam Nguyen <namducngu...@shaw.ca> wrote:
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> >> On 24/08/2012 10:05 AM, rossum wrote:
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> >
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> >>> Q1A. Given a single counter-example to the Goldbach Conjecture is it
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> >>> possible to derive a second counter-example?
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> >
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> >> The problem is this question is illogical: since we don't know
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> >> what that "a single counter-example" be, no valid conclusion
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> >> could be drawn from there.
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> >
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> > The question is clear enough.
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> Of course the question is _not_ clear enough: it's still a
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> _an possibility_ that there's _no counter example at all_ ,
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> let alone "a single counter-example".
The question is perfectly clear, and what you are saying is not relevant to the validity of the question.
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> >
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> > Suppose n is a counterexample to GC. Is there a method by which to
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> > find an m such that m is not equal to n but m is also a counterexample
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> > to GC?
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> >
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> > That we don't know whether there exists a counterexample to GC does
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> > not preclude that we can name a method that would produce an
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> > additional counterexample to GC from any counterexample to GC that we
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> > might, hypothetically, be given.
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> Provided that there exists at least 1 counter example to begin with.
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> The question is invalid because it's impossible to even know if
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> it's logical to stipulate this "Provided that ..."!
Completely irrelevant.
Here's an analogy.
Let (y''')^5 + exp(y'' y') f(x) =0 be a differential equation, with some arbitrary function f.
Even without knowing whether this equation has a solution or not, we can say the following:
If h is a solution, then so is h+k for any constant k.
This statement makes perfect sense, even though there maybe no solution.
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> --
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> ----------------------------------------------------
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> There is no remainder in the mathematics of infinity.
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>
>
> NYOGEN SENZAKI
>
> ----------------------------------------------------
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