> How many random natural numbers can you pick and write down in your
> lifetime? Zero.
Very true. I like to confuse people with that. ;)
> So although your statement above may be true, it's also utter
> nonsense, because nobody in the past, present, or future of
> the entire universe as we know it will ever "pick a random
> natural number". :)
Truth and sense sometimes don't go well together. ;)
Nevertheless, it is an example of probability measures.
Anyway, how often do you read algorithms that start like "pick a random real
number from the interval [0,1]..." ?
No program will ever finish doing so... :)
PS: "Which set has more elements? The naturals or the naturals with a shoe