Hey guys,
I've been seeking quite some help from this forum.
It has been really helpful in my studies.
I was wondering what the difference between density and completeness is.
A dense subset S of R is defined
which is a open interval in R.
Which basically means that you can draw any interval in R no matter how small, it will intersect with S.
There will always be an element of S in the real number interval line.
Completeness of R means that there are no gaps in the real number interval line.
Basically isn't being complete the same as being dense?