Computerphile asked me about Moore's Law because he saw I once worked for Intel....
Read the classic paper by Gordon Moore here.
There's also a great article on the issues ahead by Bob Colwell from August 2013 - he gives it ten years. As Intel’s former chief architect, and now as head DARPA’s Microsystems Technology Office, I'd say he's an authorative voice on this.
The picture from Moore's paper I was trying to draw from memory shows the "sweet spot" curves that actually indicate why building chips with too few transistors for a given generation is as bad an idea as trying to cram on too many!