Re: What do you think of this argument

Ludovicus a écrit :
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


I think it is a classical statement, but it is not an argument (the argument would start by defining clearly what means "true" in this context, then giving a demonstration). As you are a troll (or crank?), I understand that this distinction might let you confused...
.

Relevant Pages

  • Re: What do you think of this argument
    ... Ludovicus writes: ... ...consequently if the assertion is undemonstrable it must be true. ... The same is valid for any assertion whose falsity can be verified by a ... statement undecidable in a Sigma-1 complete theory is necessarily true. ...
    (sci.math)
  • Re: What do you think of this argument
    ... Ludovicus wrote: ... ...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. ...
    (sci.math)
  • Re: What do you think of this argument
    ... ...consequently if the assertion is undemonstrable it must be true. ... The same is valid for any assertion whose falsity can be verified by a ... because arithmetic is strong enough to verify any counterexample. ... Sigma-1 formulas. ...
    (sci.math)
  • Re: Background of "Open source" leaders
    ... > Troll, troll. ... A classic post-modern assertion: Everything is a matter of opinion, ... of whether of not you are an anti-Semite, ...
    (comp.os.linux.misc)
  • Re: Dally:300lbs of "try" athelete.
    ... you failed again at humor. ... Your assertion that I weigh 300 pounds is patently false - I not only have my weight history published, but I have pictures of me in my underwear up on the internet showing my progress. ... So the assertion is so bizarre that it doesn't get attain troll level. ... I'll give you points for the pun on "tryathlete". ...
    (misc.fitness.weights)
Loading