Engineer/Mathematician/Student. I’m not insane unless I’m in a schizoposting or distressing memes mood; I promise.

  • 0 Posts
  • 14 Comments
Joined 1 year ago
cake
Cake day: July 28th, 2023

help-circle





  • hihi24522@lemm.eetomemes@lemmy.worldhow dare they
    link
    fedilink
    arrow-up
    20
    arrow-down
    1
    ·
    8 days ago

    If you assume that a “bullet” is a unit of momentum (the mass and velocity of a bullet) and “square child” is actually just referring to the mass of a child who happens to be square shaped and not the mass of a child squared, then “bullets per square child” is describing valid units for a velocity





  • hihi24522@lemm.eetomemes@lemmy.worldIt's true.
    link
    fedilink
    arrow-up
    95
    ·
    2 months ago

    Well actually it’s the other way around. The reason imaginary numbers were invented was to solve a problem we’d been crying over for centuries.

    Then, as in most cases, solving one problem opens the door to millions of other problems like why in the fuck does the universe use these imaginary numbers we made up to solve cube roots?

    Why is i a core part of the unit circle with like ei*pi ? “Oh that’s because i is just perpendicular to the real number line” ?! Say that sentence again, how the fuck did we go from throwing sharp sticks to utterly deranged sentences like that? More importantly why do utterly deranged sentences like that accurately describe our universe and what is the next ludicrous math concept we’re going to discover is integral to the function of the universe?



  • Yes, but if the universe is quantum, then there also exists a minimum finite space step. So the fractions never get infinitely small. So you either stop moving in which case of course you never reach the destination; you stopped before you did. OR you take an extra step and surpass your distance by a negligible amount which means you did move all the way.

    So even in a quantized universe, the paradox is still false right?



  • Not that anyone cares but I just realized that this is not actually paradoxical and I can prove it mathematically! (I think) Bear with me since I’ve like just barely learned this stuff this week.

    Proof Let S be the set of all steps needed to be taken. It can be written as S = {(distance to be traveled)(2-n): n in the Natural numbers}. Thus, S shares cardinality with the natural numbers and is countably infinite.

    However, time is continuous. Thus, it has the cardinality of the continuum (real numbers) which means any time interval contains an uncountably infinite amount of moments. Let us denote an arbitrary time interval as T.

    Because | T | > | S | there is no injection from T to S. Thus if each step has only 1 time value, there will be moments of time left over, and since the hand is not in two places at once we know each step must have its own time value, so this must be the case.

    Therefore, when moving in steps like this, one will run out of infinite steps before they run out of moments in time to complete those steps. Hence, any finite distance can be traversed in this way over some bounded interval of time. QED.

    Basically, you can traverse any distance in any time interval as long as physics allows you to move at a fast enough speed. Even if it doesn’t, there may be a limit to how fast you can traverse the distance, but it is still bounded. You can traverse any finite distance like this before existence runs out of time.

    (I’m still learning. So if there’s an error in my proof please be gentle lol)