Why Is There Light On Earth But Not In Space?

Why does space look dark if the universe is full of stars? This was the question asked by Heinrich Wilhelm Olbers in 1823. From there came the famous “Olbers Paradox.”
It tells us that, in a static and infinite universe like ours with infinite stars and infinite space, the night sky should be bright and without any dark region since the stars would illuminate every corner of the sky.
But why does the night sky look dark if infinite stars exist in the universe?

Whenever we look at the sky at night, we see some star beads on a dark background; this is because when on earth it is night, it is because the sun is illuminating the other side of our planet where it is a day.
But if this is the case… Why is only the part that points to the sun illuminated? In other words, why is it daylight on earth, but in the rest of space, it is dark?

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