They're going to skimp it with 1-1.5gb of video memory as they're only aiming to push 1080p max, that I can say for certain.
However, with normal ram they'd probably have a MAXIMUM of 6gb tbh, even though ram is cheap every $5-10 counts
as they're selling it on a large scale and competing price-wise with the probably cheaper wii u and with sony/microsoft and they're not selling system specs like alienware, they're selling price/looks/game collection.
To prove this imagine if they included 2gb of ram only, which I doubt - I personally think they'd go with four, imagine the improvement features wise they could include. Hundred-fold over the current systems, and the "typical" market would still be wowed.
You could play BF:3 on 1080p with textures on ultra and everything else on high with hbao without anti-aliasing or with fxaa on a mediumish-high setting while getting 60fps on a system running (a resource [especially ram] intensive) windows 7 (which takes up lots of ram compared to the os' the consoles use) with 4gb of ram a GPU equivalent of the 560ti with 5x0-->6x0 performance (basing it off 580 to 680 improvements) and pretty much any cpu you'd like and it would get you 60fps.
Yeah, pretty much anything would blow current consoles out of the water and why would they reduce their profit margins. These consoles were developed badly. The ps2/xbox was aimed at 480p (BUT COULD RUN SOME IN 720p), a few years later 720p became more common, but the ps3 and xbox couldn't even run that properly (most games are actually rendered in 5xxp I can give you a link if you'd like to argue), let alone 1080p.
These new consoles will definitely beat the wii U (which is aimed at running 720p 4xmsaa or 1080p) so will be able to fluently run these games on high settings (look at batman on the Wii U 720p or 1080p looked crap like medium settings, but the resolution was definitely higher than current consoles).
This means that they will be great consoles for the next 4-6 years (as after then the "4k" resolutions will be more common and by 6 years definitely commonplace and another year-two after that they will have over 80% market share for sure). This means that we will get to the stage where these current consoles have always been in comparison to pc, bad. However, for the next 3-4 years the consoles will actually be quite good. This is only graphics wise.
The experience previous consoles will be improved regardless as you'd get voice chat on the sony console, you'd get larger games on the xbox etc.
But the controls will always be imprecise