This article gives a better technical explanation with a mathematical and physics background of what HDTV was designed for and why an higher spatial resolution is needed:
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http://www.tvtechnology.com/pages/s.0079/t.1990.html
A principal advantage of HD over SD video is the ability to view larger images from closer distances.
The design goal for HDTV was to facilitate viewing at a distance of three picture heights from the screen as opposed to the five- to seven-picture-height design goal for NTSC. What is the relationship between resolving power, screen resolution and viewing distance from the screen?
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That statement alone on the article should be enough to understand what HDTV is all about and why you don't need to move further away from the screen as you tried to tell. Actually it's the other way around. Higher the spatial resolution then higher the high frequencies being portrayed which means more details and then less distance is needed from the screen for the human eye to interpolate and compensate for a lack of available details.
Obviously if you have no clue about how things work, if you can't understand the difference and relationship between spatial resolution, temporal resolution and the frequency domain then it's highly unlikely you could follow any detailed technical explanation. I can understand that an article with just a couple of graphs derived from some other sources could look professional, cool and seem to be right but it's not the way these quite complex things should be debated if you want to discuss at the low level. Colour space systems should be looked at in a separate way, although when watching a video all these things get assembled together.
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