Ki Song
Posts:
538
Registered:
9/19/09


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


On Friday, November 9, 2012 10:17:10 PM UTC5, Nam Nguyen wrote: > On 09/11/2012 4:26 PM, MoeBlee wrote: > > > On Nov 8, 9:32 pm, Nam Nguyen <namducngu...@shaw.ca> wrote: > > >> On 24/08/2012 10:05 AM, rossum wrote: > > > > > >>> Q1A. Given a single counterexample to the Goldbach Conjecture is it > > >>> possible to derive a second counterexample? > > > > > >> The problem is this question is illogical: since we don't know > > >> what that "a single counterexample" be, no valid conclusion > > >> could be drawn from there. > > > > > > The question is clear enough. > > > > Of course the question is _not_ clear enough: it's still a > > _an possibility_ that there's _no counter example at all_ , > > let alone "a single counterexample".
The question is perfectly clear, and what you are saying is not relevant to the validity of the question.
> > > > > > > > Suppose n is a counterexample to GC. Is there a method by which to > > > find an m such that m is not equal to n but m is also a counterexample > > > to GC? > > > > > > That we don't know whether there exists a counterexample to GC does > > > not preclude that we can name a method that would produce an > > > additional counterexample to GC from any counterexample to GC that we > > > might, hypothetically, be given. > > > > Provided that there exists at least 1 counter example to begin with. > > > > The question is invalid because it's impossible to even know if > > 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.
> > > >  > >  > > There is no remainder in the mathematics of infinity. > > > > NYOGEN SENZAKI > > 

