toshiaki wrote: > "David Marcus" <DavidMarcus@alumdotmit.edu> wrote in message > news:MPG.firstname.lastname@example.org... > > toshiaki wrote: > > > "David Marcus" <DavidMarcus@alumdotmit.edu> wrote in message > > > news:MPG.email@example.com... > > > > toshiaki wrote: > > > > > What I intended to say, is wheather a line is build from points or not. > > > > > Why point of measure 0 gather up to produce measure or lengh? > > > > > > > > This is handled using "Lebesgue measure". > > > > > > > But, not be explaned, and it permits unmeasurable set. > > > > Lebesgue measure is the explanation. Using Lebesgue measure, we prove > > that a point has measure zero and the interval [0,1] has measure 1. > > > This showes that a objedt that has volume cannot but be dealt without > assuming that it has volume from the bigining.
I don't know what you mean. We define Lebesgue measure. We then prove that it has the properties that I said.