Re: What do you think of this argument
- From: "G. A. Edgar" <edgar@xxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Sat, 30 May 2009 08:55:11 -0400
In article
<81f17c3c-c2ad-42ec-845b-ecd253c16af3@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Ludovicus <luiroto@xxxxxxxxx> wrote:
Dennis Sciama as cited in Gardner's "New Mathematical Diversions"
arguments:
...consequently if the assertion is undemonstrable it must be true.
The same is valid for any assertion whose falsity can be verified by a
counterexample.
Marcus de Sautoy in his book :"The Music of the Primes" arguments:
If someone succeeded on demonstrating that the hypothesis is
undecidable from
the Mathematicsl axioms then the hypothesis results demonstrated as
true.
Ludovicus
The important part: "any assertion whose falsity can be verified by a
counterexample"
So, for example, Goldbach's Conjecture is in this category.
--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.
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