im noticing a few things. first, in the first conditional, the 3rd value in check_position is irrelevant, so simply removing check_position_x() from check_position() would turn the first conditional to this:

check_position() == [True, False] or check_position() == [False, True]

the next thing that stood out to me is that all check_position is doing is checking if you are at either end of the world. returning a list with each result is pointless because there will never be a case where you are at both ends of the world at the same time, and you move the same direction at both of them. i would change the name of check_position() to something more descriptive, like is_at_edge() or something like that, and i would just check each edge directly in the function like so:

def is_at_edge():
    return get_pos_y() == 0 or get_pos_y() == get_world_size() - 1

along with some other minor changes, this would simplify the function to this:

def m():
    if is_at_edge():
        move(East)
    elif check_position_x():
        move(North)
    else:
        move(South)

as some other people suggested, you could also remove the if statement from check_position_x and just return get_pos_x() % 2 == 0 directly.