Re: Is continuum completely filled up?
- From: "ooo" <farawfu@xxxxxxxxx>
- Date: Sun, 31 Dec 2006 13:09:21 +0900
"Saurav" <saurav1b@xxxxxxxxx> wrote in message
news:1167459989.569012.274570@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
I am sorry. I tryed to change it ,but still now dont go well.
ooo wrote:
I am biginer in English and mathrmatics.First, I would advise you to use something considerable in the place of
If real line is filled with points and each point is
distinguished,then each point has difference from every other points.
Therfore real line has void.
Thanks for advance.
nickname. "ooo" looks quite odd! Change it, please.
I appreciate your sugestion.
I tell you, when I started to read mathematics of the real line, suchRegards ozaki toshiaki
questions came into my mind; and I used that time to think about the
possible meanings of "next number". Why there is no gaps in real line
ruffled my mind. But as it has made the whole scenario clear, step by
step, through myriads of misconceptions and corrections, I am sure that
you also will understand what is meant by "gaps" and why completeness
is contrary to gaps.
I advise you to nurse your questions in mind; and ask others, as you
did, and if not satisfied with their answers, keep on reading....to
realize what the resl line looks like shall need years; many properties
of it, topological, measure theoritical, set theoritical ...are there,
without knowing which you can not possibly afford to a clear picture of
the real line.
I recommend a book : Hobson's book, "The thory of functions of a real
variable and the theory of Fourier's series". After you have had a
priliminary understanding of the structure of R, you should read this
book.
.
- References:
- Is continuum completely filled up?
- From: ooo
- Re: Is continuum completely filled up?
- From: Saurav
- Is continuum completely filled up?
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