I guess that's because there's no such official thing as "true/full HD." But if you guys want to make up your own terminology and then make up your own definition for it, go for it, I think most everyone here knows the truth now.

Based on that though, most of you aren't really watching HDTV on your flat panels at home, because as has been pointed out, much/most HDTV broadcasts are in 720p format.
The poster who pointed out that on our displays its a ridiculous argument are ALSO correct. In general, 720p resolution is considered to be as good as the human eye can perceive up to about 20-25 inch HDTV's, so 1080p buys you nothing at those sizes. 1080p does look better to the human eye on 47,532 and 55 inch (and larger) displays, but on your phone (of any kind!) it doesn't matter. The S3 is HD, and will display HDTV streams without CPU-hogging interpolation. The iPhone 5 will not.