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Time is math I think
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I'm not saying it's hard, and we got the explanation too. It's about what feels or seems off. It's technically correct, I know, but the first reaction of the class was confusion and a lack of intuitive understanding. Mostly it is using 12 instead of 0.
It seems off if you look at it from a purely numerical point of view. If you tackle it from a geometric POV and the face of a clock, it makes sense. That time representation was meant to be cyclical, not lineal. Time is a circle, not a vector.
I see what you mean and where you're coming from, and I also realize there are historical reasons for 12 hours, there's a reason it's called "p"m and "a"m and so on. Still, it does not feel intuitive to jump from 11:59 am to 12:00 pm, go on to 12:15 pm, and end up at 1:00 pm again. It feels like an either or thing. Either you go to 12:00 am after 11:59 am, or you go to 0:00 pm. I understand why it is pm and why it is 12, I am just saying, it feels off to me (and, as mentioned above, the whole class of German students). I absolutely understand that it feels much more natural and less counterintuitive if you have grown up with this system.