Let me help you by analogy:
A 'sack with apples' is not a 'sack with apples' without either the 'sack' or the 'apples'.
I can say the 'sack with apples' contains 10 'apples' and I can say 10 'apples' are contained in the 'sack with apples'.
I can not say 10 'apples' make together a 'sack with apples' because they do not encompass the 'sack' amongst them.
So, a line (heck, even a line-segment) contains a type 2 infinity number of points, because it is the sum of all points defined by the collection of points defined by at least two points on the line (line-segment).
But a type 2 infinity amount of points together do not make a line (line-segment), because they are not all points of that line.
All that talk of silence and not a word he hears through it.