Re: An uncountable countable set

Mike Kelly wrote:
Han de Bruijn wrote:
Han de Bruijn wrote:
Mike Kelly wrote:
Sorry for jumping in so late. But VM is quite right, of course. We have
encoutered utterly absurd consequences of thinking otherwise, like the
mainstream "theorem" that the probability of a natural being a multiple
of 3 doesn't exist. While the obvious truth is that it is equal to 1/3 .
This topic has been discussed at length in a thread called "Calculus XOR
Probability". Let Google be your friend, eventually.

Please don't snip this necessary context.

So you still don't know what "probability" means.
On the contrary. Very much better than you.

Interesting. What do you base this claim on? Unabashed and unjustified
egotism?

I think Han brought up a good point in Calculus XOR Probability.


Perhaps to demonstrate your firm grasp of these matters you could
define "probability" and then explain how one determines the
"probability" that "a natural" has some property P?

Does the set of naturals with property P have a mapping function from the naturals? :)


How predictable.
Same to you. No?

Sure, posting rubbish about a subject one knows too little about is
liable to get one called out by someone or other.


Yes, you might want to watch that, Mike.
.

Relevant Pages

  • Re: Cantorian pseudomathematics
    ... >>probability that an arbitrary natural is divisible by a fixed natural ... > But now consider the sequence with each A_n consisting of the n lowest ... Perhaps Han should actually read Jaynes' work. ... on the naturals is possible). ...
    (sci.math)
  • Re: Probability in an infinite sample space
    ... of picking 39 is also zero. ... Probability to establish this on a more rigorous footing. ... The standard naturals are a negligibly small ...
    (sci.math)
  • Re: Calculus XOR Probability
    ... Han de Bruijn wrote: ... then clearly the probability that Han picks a number ... Not if it is uniform. ... as a uniform distribution on the naturals. ...
    (sci.math)
  • Re: Cantorian pseudomathematics
    ... If you consider an initial segment of the naturals, ... >>> limit of this probability as that initial segment approaches oo, ... >> But there is no uniform distribution on N, so I don't see what Han ...
    (sci.math)
  • Re: Cantorian pseudomathematics
    ... Han is talking about the probability that a randomly chosen ... >> segment of the naturals, and the limit of this probability as that initial ... > But there is no uniform distribution on N, so I don't see what Han ...
    (sci.math)