Re: Non-zero gaps between real numbers

On Dec 9, 11:05 am, Venkat Reddy <vred...@xxxxxxxxx> wrote:
On Dec 9, 8:31 pm, William Hughes <wpihug...@xxxxxxxxxxx> wrote:



On Dec 9, 1:52 am, Venkat Reddy <vred...@xxxxxxxxx> wrote:

I'm not asking to know for the word
"union" but asking for how an union can make the miracle of building
non-zero extents out of zero extents.

Hmm. maybe a change of register will help.

Grasshopper: It is not possible to make a non-zero
extent from zero extents.

Master: Correct

Grasshopper: Then why do you claim it is possible.

Master: I do not claim this. What I claim is that it
is possible to make a set with non-zero extent
from sets with zero-extent.

Grasshopper: Then a set and the extent of a set must
be different things.

Master: You are on the path of wisdom.

Thats cool :-) I have no problem in being a grasshopper as long as my
questions are answered.

Master: Go forth grasshopper and learn measure theory. Find out
what
a cover is. See for yourself that the measure of a set is
determined
by the contents. See for yourself that a set with non-
zero measure
can be the union of sets with zero measure. Your questions
will be answered.

- William Hughes

.

Relevant Pages

  • Re: Non-zero gaps between real numbers
    ... non-zero extents out of zero extents. ... Grasshopper: Then why do you claim it is possible. ...
    (sci.math)
  • Re: Non-zero gaps between real numbers
    ... non-zero extents out of zero extents. ... Grasshopper: Then why do you claim it is possible. ...
    (sci.math)
  • Re: Non-zero gaps between real numbers
    ... "union" but asking for how an union can make the miracle of building ... non-zero extents out of zero extents. ...
    (sci.math)
  • Re: Non-zero gaps between real numbers
    ... "union" but asking for how an union can make the miracle of building ... non-zero extents out of zero extents. ... Actually the union concept here comes from a converse operation - ... since it is established that a non-zero interval consists of nothing ...
    (sci.math)
  • Re: Non-zero gaps between real numbers
    ... saying that it is not by addition, but didn't tell what is it then. ... But it doesn't explain why should a "union" of zero extents should ... how much attention you're paying. ...
    (sci.math)