Re: An uncountable countable set


Han de Bruijn wrote:
mueckenh@xxxxxxxxxxxxxxxxx wrote:

David R Tribble schrieb:

Tony Orlow wrote:

Wolfgang's and my position is that N is unbounded but finite,

"Unbounded but finite" is a contradiction, meaning "not finite but
finite". I'm sure you and Wolfgang think this double-think makes
sense, but the rest of us don't.

Your position only reflects the miseducation in mathematics during the
last decades.

Actual or finished infinity is a contradicton. Surpassed infinity is a
contradiction.

Unbounded but finite is mathematical reality. Think of the set of all
natural numbers which have been realized by writing down these numbers.
Think of the set of known prime numbers. Think of the set of written
novels. Think of the set of postings.

These sets are unbounded because they can be extended without end.
Nevertheless they are always finite.

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.

Han de Bruijn

So you still don't know what "probability" means. How predictable.

--
mike.

.

Relevant Pages

  • Re: Calculus XOR Probability
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  • Re: Calculus XOR Probability
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  • Re: An uncountable countable set
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  • Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
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