Your argument only holds water if the eyes see single images - which they don't as the original commentor explained to you. If you don't believe me consider it this way. Mains electricity is alternating current (think of a sine wave) that has a frequency of 60 (or 50)Hz. if you look at a light bulb you can often see the flickering from the alternating current. This flickering is either 60 or 50 times a second yet the human eye can still detect it.
What you need to understand is, although the eye can detect changes 60 times a second, it is not able to count the number and tell you its changing 60 times a second, but it can tell you theres a difference. Same way you can't count 60hz or 144 hz frames with your eyes, but your eyes can distinctly tell the difference between them.