Re: I cannot understand the sentence in a probability book.

On 1月3日, 上午5时56分, "danhey...@xxxxxxxxx" <danhey...@xxxxxxxxx> wrote:
On Jan 2, 9:34 am, water <waterloo2...@xxxxxxxxx> wrote:

When Ù is uncountable (e.g., Ù = R or [0, 1]),
it is not possible to define a reasonable measure for every subset of
Ù; for
example, it is not possible to find a measure on all subsets of R and
still
satisfy property m([a, b]) = b - a. This is why it is necessary to
introduce ó-fields that
are smaller than the power set.

what is the meaning of the sentence?
Thanks

Those sentences are perfectly clear to me. What exactly don't you
understand?

Dan Heyman


it is not possible to define a reasonable measure for every subset of
Ù; for
example, it is not possible to find a measure on all subsets of R
and
still
satisfy property m([a, b]) = b - a.?
.

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