It's a platform, not a console.
Arguably there are two ways of looking at it I suppose:
One is that a [gaming] console is something built for playing games on, not used for anything else.... in that sense the last proper console was the GameCube, as even the Wii is a hybrid device now.
The other way of looking at it is what something is used for. If you connect your machine, be it Wii/PS3/360 OR PC to your display device, and ONLY use it to play games then it is a gaming console. In that sense a PC can be a gaming console, but it is far more unusual for someone to use a PC only for games than someone to use a Wii/PS3/360 only for games... Some people with lots of money may have a special gaming PC that they only use for games in addition to the normal web browsing and working PC, but for most a PC is a multimedia device.
