>>11763070it's not clear at this point that continuousness means anything worth caring about, if anything at all. if empirical observations could only ever furnish a quantized picture of reality - because of the limitations of our senses, reaction times, brain processing, and measrument instruments - then what are physical theories even theories about if they do not describe our quantized world?
let me tell you my opinion. continuousness of space can be illustrated using time.
https://www.youtube.com/watch?v=_BKsV2rpFrAconsider slow motion. the more frames you have, the longer the video is, and this gives it a feeling of smoothness, because we see the cat move slowly and safely. the video is played at however many frames per second, but because the pictures were captured so rapidly one after the other, they look very similar to each other. we intuitively compare how similar our present moment is to our memory of the previous moment, and we compare how similar the current frame is to the previous frame. our brain enjoys detecting similarities, and when any two frames are similar to each other, we enjoy this neat pattern. suppose the video were to be sped up a thousand times. it would look like a chaotic mess and there would be great differences between subsequent frames. very displeasing. i consider this feeling of smoothness to be the quality of continuousness, and on my account, it can only ever exist in degrees, because it is a rate of change.
