...in the early days of cinema they tried out various different frame rates before deciding that 24fps was the most "natural" to the human eye. More recent research places the average human eye at an equivalent to 21fps, with 18fps as an agreed minimum, so the current frame rate seems perfectly sensible.
I think that the minimum frame rate was chosen as the minimum refresh rate at which the average person would perceive a series of still frames as portraying continuous motion. 24fps gives a sufficient margin above the minimum motion portrayal rate. But humans would still perceive flicker at 24fps. The projected rate is twice this, using a shutter, at 48Hz so that the majority of people would not perceive distracting flicker. Higher frame rates, while improving both motion and flicker, has a much higher cost in film stock, processing and printing, storage and transportation, more expensive projector and camera mechanisms, etc.
I'm no expert, but I'm guessing it's because the images are not in sync with the ones you see with your eyes (like you have to synch on-screen computer monitors with the camera when you are shooting to avoid strobing artifacts)
I believe your peripheral vision has much better motion sensing capabilities (ever look at a tube monitor thats 60hz or less, and see the flicker only in your peripheral vision?) ...
Our eyes don't have a universal sharply defined "framerate", so none of our filming frame rates will be "sync" with it.
Research does back up that our peripheral vision is better at motion sensing than our vision in the centre, and flicker is analogous to motion. Human flicker sensitivity threshold is somewhere around 48Hz, hence film being projected at 48Hz, and why 50Hz was adopted in the UK for TV refresh rates. Actually the US 60Hz would have been a better choice to have a greater margin away from our flicker sensitivity, but then there would have been problems with UK 50Hz mains interference causing very distracting moving patterns if UK TVs were 60Hz.
Another factor in peripheral flicker detection is that we don't normally watch screens out of the corners of our eyes, and our brains haven't adapted to filter it out. I've heard (but not confirmed) that many Americans coming to the UK initially find our 50Hz TVs very flickery in their central vision, being used to 60Hz, but quickly adapt so that they don't notice it
As Graeme says, our stereoscopic eyes and brain mounted in a mobile platform are a fantastic adaptive scanning system capable of integrating a picture in both time, 2d & 3D space, and frequency! And they are capable of adapting to and perceiving more than the hardware and economy limited systems of the past and present.