Chapter 73 A Mischievous Smile
Chapter 73 A Mischievous Smile
The moment the name "Liu Zhiyun" was uttered, it was as if a depth charge had been dropped into the classroom, causing an immediate uproar.
"Wait... Professor Liu Zhiyun? Is that the one who dominated academic circles recently, the one rumored to be my country's most likely candidate for the Fields Medal?!"
"A big shot of this caliber is personally giving us a lesson?!"
"Holy crap?! Our treatment this year is off the charts!"
Gasps of surprise and suppressed exclamations of admiration spread quietly through the classroom like a contagious disease.
The students, who were slouching and lounging around just a moment ago, now looked like they had their butts on fire...
They slammed their laptops shut, which were playing movies, and stood up straighter than telephone poles, not daring to even breathe.
Even Lin Shuwan, who was sitting next to Su Hao and was usually fearless, opened her mouth wide in shock, revealing a look of utter disbelief.
"Snapped!"
With a cold face, Liu Zhiyun slammed the heavy folder of documents in her hand heavily onto the podium.
That clear, muffled thud completely silenced all the noise from the audience.
Her cold, piercing voice instantly silenced the entire room.
"Everyone, time is precious, so let's get this straight up from the start."
This prerequisite course this semester is extremely difficult.
I don't care if you are top scorers in your province or city, or gold medalists in competitions. Here, you are zero.
We must be extremely vigilant in facing this!
I will not lower the standards in the slightest just because you are still minors!
She slightly raised her chin, her gaze sweeping across everyone's face like a blade.
"If anyone feels they can't handle pressure, or can't keep up with my pace..."
Go to the academic affairs office now, immediately, right away, to withdraw from the course. Don't waste each other's time.
I'm not standing here to play with you!
Faced with the stern warning and terrifying aura of this legendary figure, the group of arrogant geniuses below the stage dared not utter a word and held their breath.
however.
Sitting among a group of trembling students, Su Hao's heart began to beat wildly and excitedly because he would finally be able to hear Liu Zhiyun's lecture in person!
Instead of fear, his eyes burned with a fervent passion for encountering his own kind.
Just then, Liu Zhiyun, standing on the podium, coldly surveyed the classroom. When her gaze swept across the front row like a searchlight, it finally settled on Su Hao.
For a fleeting moment, the ice on that icy face melted.
She winked at Su Hao very subtly, a mischievous smile flashing across her face.
......
Liu Zhiyun, wearing high heels, strode confidently onto the podium.
She pulled out a piece of chalk, turned around, and with a flick of her wrist, slammed four menacing words into the center of the blackboard.
[Definition - Theorem - Proof - Critique]
"This semester, our courses will proceed in this order only."
Liu Zhiyun dusted off her hands, her arrogant gaze sweeping over everyone as if she were looking at a group of monkeys learning arithmetic.
"I have absolutely no interest in those fancy problem-solving techniques you used to learn."
So-called proofs, no matter how short they are, may be full of loopholes; no matter how long they are, they may be nothing but nonsense!
The most important thing in this course, the thing that will take you further in the future, is absolutely impeccable logic!
To emphasize its importance, Liu Zhiyun turned around and, with enough force to pierce the blackboard, heavily engraved the word "Logic".
When you think of mathematics, the first thing that comes to mind is probably dry numbers.
But you must understand that the most fundamental cornerstone of mathematics is proof built upon a perfect logical system.
The last three stages I just listed are precisely for building this logical chain.
Okay, let's do a little quiz first.
Liu Zhiyun lightly tapped the mouse, and the projector above her head projected a pale white beam of light, displaying a classic logic puzzle on the large screen.
In a certain village lived people with blue eyes and black eyes.
Everyone can clearly see the color of other people's eyes, but no one knows their own, and there are no mirrors in the village that allow them to see their own faces.
There is an ironclad rule in the village: "Once someone has confirmed their eye color, they must leave the village that very night."
One day, a foreign traveler announced to the public: "There are blue-eyed people here!"
What will happen next?
There was a two-second silence, and then a boy sitting in the middle confidently raised his hand.
"Hmm... Chen Yu? Very well, please answer."
"It's very simple. Blue-eyed people will immediately realize their eye color and then pack their bags and leave that very night."
Chen Yu paused for a moment, then gave his deduction.
"Since the rule is based on the premise that 'everyone knows everyone else's eye color'..."
If there are no blue-eyed people among the crowd he sees, then the blue-eyed person pointed out by the traveler must be himself.
This is the most basic method of reverse elimination.
However, Liu Zhiyun on the podium shook her head.
"Wrong. Can anyone find the flaws in his logic?"
Just then, Su Hao, who was sitting next to him, quietly raised his hand.
"His answer contains the 'boundary condition fallacy'."
Su Hao's voice wasn't loud, but it was clearly audible in the quiet classroom.
"If there is only one blue-eyed person in the village, that person will indeed immediately realize, 'Ah, so it was me with the blue eyes,' and leave right away after hearing what the traveler said."
But if there are two or more blue-eyed individuals, the situation is quite different.
All the students' eyes were instantly focused on Su Hao.
Su Hao continued outputting his message with a blank expression:
"If it's two people, they'll look at each other and think, 'That guy should be leaving tonight,' and thus choose to remain still."
No one left on the first night.
The next day, through this reverse reasoning, they would instantly realize that the other person was also waiting, thus confirming that they also had blue eyes, and then they would leave together.
Similarly, if there are three people, they will leave on the third day;
If there are four people, it's the fourth day... and so on.
As long as the number of people is N, they will leave on day N.
Liu Zhiyun gazed intently at Su Hao, her usually critical eyes now revealing undisguised admiration.
"Absolutely perfect." Liu Zhiyun didn't hold back her praise.
"To ensure that the logic does not collapse, one must exhaust all sample spaces and initial conditions as if compulsively trying to avoid leaving even the slightest logical dead end."
In advanced mathematics, a so-called "proof" is a rigorous deduction that fills in these gaps.
Even the slightest crack in your argument structure makes it far from a complete logical system; it's rubbish on the verge of collapse!
The atmosphere in the classroom suddenly became extremely tense.
Everyone breathed cautiously, as if raising their voice even slightly would crush them under the immense academic pressure.
"Of course, extremism is also a trap," Liu Zhiyun said, changing the subject.
"Excessively piling up conditions to plug loopholes and creating redundant logical nonsense is not a sophisticated mathematical proof either."
Liu Zhiyun clicked the mouse again, and the large screen flashed, revealing a densely packed new text.
"This is a real case report from a foreign police department regarding a theft case."
Now, try to strip away the useless information that is "worthless" in deducing the true culprit.
Below the stage, Su Hao's eyes suddenly lit up with an astonishing gleam.
Professor Liu's class is full of pure, incisive intellectual battles!
The intense, stimulating sensation in his brain made him so excited that he almost wanted to stand up and run around the classroom twice!
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