...A 1920x1080 50in tv needs to be viewed at least 6 feet away otherwise you can see the pixels...
Not necessarily.
Whether you can "see" the pixels or not is dependent mostly on their size and your viewing distance, yes, but it is also dependent on the pixel fill factor, which takes into account the amount of black frame area around each pixel. Some TVs have a better PFF than others (less black frame area around each pixel), meaning you can view them from a closer distance and still not see the pixels, than you can others.
So it is not so much about whether you can resolve the pixels; to get full benefit of HD you have to be able to resolve them. It is about whether you can see that black dividing edge between them, because that is the factor that either allows or ruins the suspension of disbelief that you are viewing a solid image rather than an array of separate pixels.
A good example is Vizio. They make good sets, possibly not as good as a couple of top brands, but otherwise pretty acceptable. But you can watch them from a closer viewing distance because the PFF is greater (less black frame area) on a Vizio TV than on many other TVs, including most top brands.
According to this really handy Java app calculator:
http://myhometheater.homestead.com/viewingdistancecalculator.html
If you view a 50" TV at more than 6.5 feet, you begin to lose the advantage of full HD resolution (the resolution of your eyes becomes correspondingly less at increasing distances, and this is the threshold and maximum distance for fully-resolved HD for a 50" TV). That means that the minimum viewing angle (a line from the left edge of the screen intersecting with a line from the right edge of the screen, at your retinas) is 31.2 degrees. THX recommends 36 degrees, which would be a screen distance of about 5.6 feet.
And I like to view from as close as possible; I view a 32" set from 28", which is an extreme viewing angle of 53 degrees. That is functionally equivalent to viewing a 50" set from 3.6 ft away, or a 100" set from 7.2 feet away. And, I do not see any pixels at that viewing angle. I can fill nearly my entire field of vision and see no pixel artifacts. To get that viewing angle on an iPad you have to hold it about 8.5 inches from your retinas. To get that same angle on a mini you have to hold it less than 7 inches away.
But most people over 35 can't focus any closer than about 15 inches, which is why I will never watch video on an iPad if I can help it. For full 1080 resolution, you need the iPad at a about that distance, and for a mini it needs to be about a foot away. Holding them any further away compromises HD resolution, which means unless our noses are near enough to fog up the glass none of us are probably seeing full HD very often on any of our tablets, regardless what the delivered resolution is. Which is why we need a 16:9 11-inch iPad to come out.
I have also tested this extensively, by going to numerous showrooms and standing at an approximate distance that will give a 53 degree viewing angle or even more extreme than that. What I found is that some 1080p TVs require a little less-extreme angle, such as about 45 degrees, for the pixels to "disappear", while others, such as the Vizio, allow getting as close as a 53 degree angle and pixels are still not visible.
It is probably not hard to guess which TV I own. But from extensive research I can say with great confidence that you can get a whole lot closer than 6.5 feet away from a 50" HDTV and still not see pixels, and that seems to apply to all manufacturers. Depending upon the manufacturer, you can get as close as about 3.5 feet before pixels become visible.
And this is an important factor never mentioned by tablet manufacturers. What that implies is that one tablet manufacturer can have a better PPI, and still have a worse apparent resolution. Surprisingly, you could potentially have a higher PPI with less viewability, which means it is important not to rely strictly on PPI, but to audition potential tablet buys yourself, side-by-side if possible. Which is why I picked up the iPad mini, looked at the screen, and immediately put it down and walked out of the Apple store.