Is it true or false that the sun does not necessarily rise in the east?

Mathematically, this sentence is correct.

Because translating this sentence with mathematical thinking: "not necessarily" means that the sun rises in the east, or that the sun does not rise in the east. Now it seems that "the sun rises in the east" is right and "the sun does not rise in the east" is wrong, but the OR of a true proposition and a false proposition turned out to be a true proposition. Just as 0 is greater than or equal to 0, this proposition holds.

Geographically, the position of the sun changes relatively throughout the year, not necessarily in the east, so this statement is also correct.

Also, from the perspective of the first floor, the sun on other planets does not necessarily rise in the east. I remember that among the eight lines in the solar system, only one planet's rotation is reversed. The sun rises in the west.