The most famous motto of Ravenclaw is, "Wit beyond measure is man's greatest treasure."

Whether it's the Eagle Door Knocker, the students, or even the style and environment of the house, everything showcases their thirst for knowledge, as well as the unconstrained, sky-high wisdom and thoughts.

However, besides that, Aileen happened to have heard another sentence - "Mathematics is the queen of the sciences."

Looking back at the long river of human civilization, at least more than half of the philosophical thoughts and questions are wonderfully connected with certain mathematical logics. In fact, hundreds of years ago, people even called mathematics natural philosophy.

"We are not trying to make things difficult for the students, we are just passing on knowledge, letting the brilliance of philosophical thinking re-envelop the Ravenclaw common room..."

Aileen looked at Xenophilius Lovegood, whose eyes were staring blankly, shook her head, and said with a chuckle.

Just now, she slightly updated the Bronze Eagle Door Knocker's question bank, telling a few interesting logical stories.

And after these few communications with the Bronze Eagle Door Knocker, Aileen preliminarily determined that Ravenclaw's Eagle Door Knocker is actually more like a relatively primitive, primary AI - with certain thinking abilities, as well as information input, judgment, and output functions.

This also means that it cannot handle complex mathematical tasks independently.

In other words, if she wants the Eagle Door Knocker to propose the barber paradox, which is the Russell's paradox, she first needs to help the Eagle Door Knocker complete at least one standard answer to this question - for example, fully expound Gödel's incompleteness theorems - so that the Bronze Eagle Door Knocker can add the "barber paradox" to the question bank in its "built-in logic."

Of course, if she really did that, the students of Ravenclaw might not be able to go back to their dormitories to sleep this year.

So Aileen deliberated for a while, and chose to start instilling knowledge from some more basic areas. After all, the mathematical foundation of most Hogwarts witches and wizards may not even reach the average level of European primary school graduates.

"I still don't understand, does there really exist a village in this world that only tells lies or the truth?"

Xenophilius Lovegood rubbed his forehead, trying to think about one of the classic examples that Aileen had just "updated" for the Bronze Eagle Door Knocker - standing at the fork in the road, the two people in charge of pointing the way, how should they ask if they only have one chance to ask...?

"Of course it exists." Aileen nodded without hesitation, "Or, you can just understand it as, the people in one village drink Veritaserum in their daily drinking water, and the people in the other village drink all kinds of potion of lies."

"Potion of lies? What is that? How come I don't know about this..."

Xenophilius raised his eyebrows in confusion.

"Oh, just think of it as a potion opposite to Veritaserum."

Aileen waved her hand, casually glossing over the potion she had made up on the spot.

Anyway, there are all kinds of strange things in the world. Proving that something does not exist is always much more difficult than proving that something exists.

Just like the famous saying of Einstein: "Science can only prove existence, but cannot prove non-existence. If you cannot prove that something does not exist, you cannot say that it does not exist."

And when all this happens in the wizarding world, the Lovegood family and *The Quibbler* are undoubtedly the most appropriate cases - whether it is "Crumple-Horned Snorkacks," "Nargles," or "Moon Frogs," "giants with octopus tentacles," are all the same.

*Click.*

Just as Xenophilius Lovegood was continuing to try to retrieve information about the "potion of lies" in his mind, he heard a soft closing of the door in front of him, and a sentence floating out from the crack in the door.

"Luna, come on, let me show you around the Ravenclaw common room."

"Huh? Wait..."

Xenophilius Lovegood raised his head somewhat blankly, looking around.

At some point, Aileen had already pulled his precious little Moon through the open Eagle Door Knocker's door and entered the Ravenclaw common room, and... had also closed the door again?!

But luckily, if Xenophilius Lovegood remembered correctly, although Ravenclaw's Eagle Door Knocker would occasionally come up with some troublesome questions, it would not change the questions too many times within the same day.

At least in such a short period of time, it should still be the same question.

Without thinking too much, Xenophilius Lovegood quickly knocked on the Bronze Eagle Door Knocker. He was not at ease leaving his daughter alone in a room with a wizard whose background was unknown, even if the other person was just a little loli of 1.2 meters.

And as he remembered, he saw the Bronze Eagle Door Knocker open its mouth and say again in a gentle voice:

"A room is simultaneously housing a certain number of Cerberuses and phoenixes. Counting from above..."

"The answer is thirteen phoenixes and eleven Cerberuses."

Before the Bronze Eagle Door Knocker could finish the question, Xenophilius Lovegood frowned and quickly interrupted.

Even if he didn't know how this answer was derived, it didn't prevent him from remembering Aileen's correct answer just now.

In fact, this is also Ravenclaw's consistent approach - as long as a clever person solves the riddle, everyone can successfully enter the common room.

However, to his surprise, this time, the door to the common room did not open as he remembered.

"...Counting from above, there are sixty-four heads, and counting from below, there are a total of one hundred and ten feet. Please tell me how many Cerberuses and how many phoenixes are in the room?"

"???"

The expression on Xenophilius Lovegood's face solidified again. Although at first glance, it seemed to be the same question as before, but thinking carefully, something seemed wrong with the current situation?

Immediately afterwards, as if to respond to the confusion in Xenophilius's heart.

The Bronze Eagle Door Knocker, which had accompanied the middle-aged wizard through his entire seven years of school, opened its mouth again and continued to supplement with its gentle, musical voice.

"I'm sorry, the answer is incorrect."

"???"

Xenophilius Lovegood's somewhat protruding eyes widened even more. His gaze subconsciously swept over the row of light blue velvet sleeping bags hanging on the wall of the corridor below. A very bad guess suddenly appeared in his mind - if this question was indeed regarded as the "same" question by the Eagle Door Knocker, then...

Sure enough, in the next moment, he heard the Bronze Eagle Door Knocker's mouth once again utter the same gentle, but devilish whisper as before.

"A room is simultaneously housing a certain number of Cerberuses and phoenixes. Counting from above, there are one hundred and twenty-five heads..."

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*Goo~ Only one chapter today, because I went to read novels~*