Roughly every two years, the density of transistors that can be fit onto a silicon chip doubles.
No. Moore's law is not about density. It's just about the number of transistors on a chip. Yes, density increases but so does die size. Anyways, in Moore's own word: The complexity for minimum component costs has increased at a rate of roughly a factor of two per year.
http://cva.stanford.edu/classes/cs99s/papers/moore-crammingm...