/sci/ - Science & Math

is the mere existence of areas and volumes somehow proof that Space is not continuous but composed of discrete units?

Putting it this way
>the area of a square is its base times its height
we can calculate such area much like we could take a piece of cloth fabric, a 1×1 weave, and counting the threads of fiber from the bottom to the top - the number of threads will be the cloths 'height'. That of course gives us no area, but if we know the length of material of these threads, knowing how much 'threadness' there is in the square becomes a simple sum, say the threads parallel to the base measure 1, all it takes is to add 1 to 1 to 1 an X number of times viz. multiplication - in this case, the cloth being a square, there will be a number of threads equal to the length of said threads, 1×1.

Of course in real life these threads have volume, height and depth of their own, in such a manner that to adequately measure the square we must imagine the (cylindrical) threads diameter to be the closest number to zero that is not zero (the number generally called 'the infinitesimal'). That number is an atomic measure of Space.

So if Space has no atomical unit viz. It is continuous - we should not be able to produce areas for any given shape - but we CAN, which would imply that Space must be composed of discrete atomic units (their volume being given by the infinitesimal to the power of three). So what the fuck?

Help me bros I am scared now

Pic related

>>11145317
Not sure what term you're looking for, but you're probably thinking of Achilles and the tortoise paradox