Well sure. Yeah. Do you find this explanation clear and satisfying though? Can you use it to answer a question like "at sunset, during a half-moon, can you see an upward-facing moon"? Maybe you're much smarter than me, but I had to write the simulator to figure out the answer. Claude and gemini never wrote the simulator, so they consistently answer that question incorrectly :)

No, you will not see an "upward facing" moon. At sunset, the west side of a half the moon will be illuminated. I think you are getting your self tangled with terms like "upward" and "downward" and "facing"