Don't see why not, it's selling significantly better than the PS2, Sony has a track record of supporting their consoles for years into a new generation, great games will come. It has great support from every developer, indies, aaa, whatever. I think it will.
EDIT: The PS4 will also be really cheap by the time it's done with, so even more reason to buy one
EDIT: I just read that sony says the PS4 is on track to outsell the 360, exciting stuff







