I just read a column about monitor resolutions, saying that the smallest dot a human eye can see is one minute which is 1/60 of a degree. Knowing that we can see some 190 degrees sideways and 135 vertically, the resolution of human eyes would be something like 11400x8100. Now that they already can build curved monitors and 8K ones, getting a half sphere using that resolution in front of us should be available in a few years!
The thing is, unlike pixels on a screen a minute doesn't have a set physical size. Instead the size is related to distance. Thus if you want to see single pixels you'd have to get a screen big enough or move closer. So if you've got a 22" 1080p screen, a 44" screen in 4K has the same pixel size and the image will look as smooth or rough, only the surface area being quadruple. As for moving closer VR goggles are about as close as we currently can get.
Further, if you're like Wiley and prefer bigger pixels, you'd need a 90" 4k monitor for the same pixel size - or a nine monitor system of those 1366x768 ones!