Chap wrote:Yahoo Bot wrote:Finally, as a post-script to the above, please permit me to get on my hobby horse again. What value are your anonymous rants and personal attacks? Should we really credit them? Aren't the more credible arguments made by people with real names and positions in life?
Some of us go out of our way to avoid posting any argument that does not stand quite independently of our personal testimony, in virtue of its internal logic and the evidence from reliable external sources that it references.
That way, the argument would be neither more not less valid if it had been posted by Mickey Mouse, or even Droopy. It's a good mental discipline.
Yahoo Bot wrote:
Nope. It is still weak. The internet blog -- the refuge of the anonymite.
How about this argument (for which I do not claim originality ...)
Prime numbers are more than any assigned multitude of prime numbers.
Let A, B, and C be the assigned prime numbers.
I say that there are more prime numbers than A, B, and C.
Take the least number DE measured by A, B, and C. Add the unit DF to DE.
Then EF is either prime or not.
First, let it be prime. Then the prime numbers A, B, C, and EF have been found which are more than A, B, and C.
Next, let EF not be prime. Therefore it is measured by some prime number. Let it be measured by the prime number G.
I say that G is not the same with any of the numbers A, B, and C.
If possible, let it be so.
Now A, B, and C measure DE, therefore G also measures DE. But it also measures EF. Therefore G, being a number, measures the remainder, the unit DF, which is absurd.
Therefore G is not the same with any one of the numbers A, B, and C. And by hypothesis it is prime. Therefore the prime numbers A, B, C, and G have been found which are more than the assigned multitude of A, B, and C.
Therefore, prime numbers are more than any assigned multitude of prime numbers.
I can't see any way in which such an argument is made less forceful by my anonymity, can you?
(And, by the way, is a bare assertion decorated with epithets likely to be recognized as a valid argument in any court where you practice? I'd be surprised; but that is all you offer in your reply above.)