Comments by "Jovet" (@jovetj) on "How Imaginary Numbers Were Invented" video.

  1.  @nohah8804  All you have to understand is that, just as we have multiple spacial dimensions (the three we know), there are multiple "dimensions" of numbers. "Real" numbers all form a 1-dimensional line. If zero is at the middle, then we can say all negative numbers are to the left, and all positive numbers are to the right. This is visualized at 19:15 in the video. The video assumes viewers know why a square root of a negative number is not possible with Real numbers. The reason is simple: there is no real number that can be a negative product. 5 times 5 is 25. But -5 times -5 is also 25—the negatives cancel. So, what is the square root of -25? These Complex numbers form a second dimension of the number plane, visualized in the video at 19:20. This video doesn't discuss them, but there are hyper-complex numbers which add even more "dimensions" to the number line(s).
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  2. You imagined the whole thing.
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  3.  @tomrhodes1629  Truth does not always make sense. The two are not automatically related at all.
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  4.  @evamccray6500  If "truth has to make sense" then why is the world so messed up? It would be easy for everyone to distinguish truth from fiction. But it isn't. We are all different, we are all not the same. If truth always made sense, we would have everything figured out by now. But we don't. Everyone has different viewpoints, different through process, and even different aptitudes. Not everyone has the same means, intuition or intellectual capacity, reasoning or deductive ability, or even care to derive "truth."
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  5.  @evamccray6500  And if truth always made sense, it would not be so easy to ignore.
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