Why can a crescent moon not be seen at midnight?

The very first thinnest crescent moon after new moon or the last thinnest crescent moon before it will have to be close to the sun so can’t be seen at midnight, except perhaps in polar regions in summer when the sun has just temporarily dipped below the horizon, at midnight. read more

Half moon at First Quarter is overhead at sunset, and sets at midnight. Half moon at Last Quarter rises at midnight, and is overhead at dawn. So for a crescent moon to be seen, it must be before First or after Last Quarter moons. That means that it is not in the sky at all at midnight, ever. read more