• don@lemm.ee
    23·
    2 年前

    So how did you manage to lift your hand up in front of the graph? Checkmate theists.

      • Sneezycat@sopuli.xyz
        7·
        2 年前

        Don’t even need calculus. You move the hand 1/2 of the way in 1/2 of the total time. Then 1/4 of the way in 1/4th of the total time… They just forgot to think about how the intervals of time those steps take are proportional to the size of the step.

        • humorlessrepost@lemmy.worldEnglish
          5·
          2 年前

          But the amount of time is never zero for any step, and there are infinite steps.

          The amount of time does, however, approach zero, so calculus solves the problem.

          • Sneezycat@sopuli.xyz
            31·
            2 年前

            Let’s put it this way: you move your hand 1m in 1s. Looking at it like Zeno, there are infinite space-steps that total in 1m moved. And there are infinite time-steps that total in 1s. If there is no problem in having infinite space-steps covering a finite distance, what’s the problem with having infinite time-steps covering a finite time?

            It’s more fundamentally philosophic than calculus, that’s why I said it’s unnecessary. You don’t need to know you can sum infinite “infinitesimal” parts and get a finite quantity, or how to do it. It’s just a simple reasoning to see there’s no paradox (in the “it’s impossible” sense) at all.