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2 of 5 the Sun is a star, only one star is named Sun

Can a planet realistically have multiple stars?

Several Science fiction books I have read (including, IINM, Nightfall by Asimov) have featured planets with several stars. Some worlds where this happened wrought interesting effects on the inhabitants of said planet; for example, in a world that was perpetually experiencing daylight, people might be so afraid of the dark that their psychologists considered fear of the dark to be a primal, impossible-to-overcome condition of humanity.
Multiple stars on a planet makes things interesting.

Is it realistic for a planet to have multiple stars?