Yes. Half of the world is facing the sun at any given time, so the other half of the world is facing away from it. If you’ve ever been on a carousel or merry-go-round, you understand what rotation is. If you picked a random stationary object nearby as the sun, then you would see it “rise” as it came into view and then “set” as it left your view. Everyone else on the ride would see the rising and setting at different points in time.
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