The feedback from the "Supervision Law" pointed out a direct error that was logically incoherent and incapable of self-proof.
The other three points indicated problems that might require modifications and simplifications, the sa way the Riemann Conjecture does. It’s possible that they could also be errors but after a long research process, it might just help Wiles to correct them, making it a pointless effort.
Zhao Yi wasn’t interested in spending ti helping Wiles correct his proof. His interest was in ’finding mistakes’. It’s the easiest task as it doesn’t even require understanding the entire proofing process.
This is very important.
Understanding Wiles’ entire proofing process is no easy feat. So mathematicians have made the point that understanding the whole process requires several years of deep research.
They were talking about people who study mathematics.
For ordinary people speaking in terms of knowledge, understanding all that Wiles wrote may never happen in their lifeti if they lack the aptitude.
This is not to say that Wiles’ mathematical ability is astounding but rather, he used a new thod of mathematics that made the proofing process extrely complicated.
So parts of the process were omitted, or simply not considered.
Wiles’ proof has always been controversial.
Imdiately after Wiles’ first presentation at the Newton Institute, a few problems were raised. He gradually rectified it, addressing the problems. Even after completing his paper, several other issues were pointed out.
Other mathematicians conducted research, slowly correcting and perfecting a few problems. So issues were not perfected or corrected, and so areas remained contentious.
"Maybe the ’problematic’ feedback represents those contested areas?"
Zhao Yi wasn’t sure.
What he was certain of was that Wiles’ paper was very complex, so complex that apart from Wiles himself, there hadn’t been a single person who claid to fully understand the entire process.
Zhao Yi didn’t need to understand it all. He just needed to grasp the general process and then focus on researching the ’erroneous’ area.
Of course.
This too was very complex.
Firstly, understanding the ’erroneous’ parts entailed getting to grips with several unfamiliar mathematical subjects and thods. He decided to study these specifically and gradually research.
In any case, there was no rush.
In the future, over the next few years, Wiles’ paper would only be confird to have logical errors ten years later.
Now, all he needed to do was read up on the relevant mathematical subjects and thods like extracurricular books and gradually bolster his foundational knowledge. Whatever he could understand, he would understand.
Once he had all the foundational knowledge, using the "Supervision Law" would yield a ’clear’ result.
That’s why finding errors was his forte. He didn’t even need to carry out serious research. Having the basic knowledge and fulfilling the conditions were enough.
...
In the following ti, Zhao Yi continued his normal school life, enjoying his final days as a high school student.
Before the College Entrance Examination.
A lot of people started discussing ’what to do after the exams’, ’which university to apply for’, even looking forward to the easy life at university.
Lin Xiaoqing and Zhao Linlin were constantly discussing this near him, Sun Liang who was self-studying basic C language and coming to Zhao Yi for help with code problems, soon also joined in.
"I have decided to major in computer science." Sun Liang said expectantly, "Zhao Yi promised that if I major in computer science, he’ll gift a top-of-the-range computer!"
"And Brother Chao, Brother Chao said he’ll get involved in projects. I could earn money while studying!"
Zhao Yi gave Sun Liang an encouraging thumbs up.
Lin Xiaoqing pointed out the essential issue in one sentence, "You just want to play with computers, right? Why bother discussing majors!"
"Yes, definitely."
Zhao Linlin nodded in agreent.
Sun Liang imdiately beca dissatisfied. He felt he genuinely liked computers and not just for playing gas, "I plan on making money with the computer. Brother Chao even said he’ll let help create websites, that’s paying work, it’s a salary!"
He pursed his lips and said, "You girls won’t understand. We guys have more pressure. We have to think about making money while studying, right, Zhao Yi?"
"Yes, yes."
Zhao Yi ambiguously voiced his support.
Lin Xiaoqing humd lightly and asked Zhao Linlin, "Are you planning to study dicine?"
"It depends on my scores."
Zhao Linlin said sowhat gloomily, "I’m not as capable as you guys. I’ve thought it through. If my scores are lower, I’ll follow my parents’ suggestion. They’ve also ntioned this on the phone, to go for a teacher’s training. "
"If my scores are good, then I’ll apply for dical school. By the way, Zhao Yi, do you know of any dical schools in the capital that I might be able to get into?"
"In the Capital?"
Thinking carefully, Zhao Yi said hesitantly, "The only ones I know are Capital dical University and Shuimu University which also has a dical school..."
Zhao Linlin pouted in dissatisfaction, "Couldn’t you just have said you don’t know?"
Zhao Yi laughed and said, "I genuinely didn’t pay much attention. Are you going to the capital too?"
"You guys are all going to the Capital." Zhao Linlin stated matter-of-factly, "Xiaoqing is too. She has decided on the Political and Legal University."
Lin Xiaoqing blinked and remained silent, showing her agreent through her silence.
They all turned to look at Zhao Yi.
Sun Liang asked, interested, "Zhao Yi, have you figured out what major you want to take? It won’t be computer science too..."
"No!"
He suddenly exclaid in surprise, "If you go study computer science, who would dare to be your teacher? I heard from Brother Chao, you’re already qualified to be a professor in computer science."
"I’ll major in Arts and Sciences!" Zhao Yi said confidently.
"Arts and Sciences? Mathematics?" Sun Liang continued to exclaim in shock, "If you study mathematics, nobody would dare to teach you either! You’ve already solved a mathematical conjecture..."
Zhao Yi shot a glare at Sun Liang.
Keep it low profile!
They were at school, surrounded by classmates who were also taking the College Entrance Examination. How could he blurt out such a blatant truth?
In the end, Zhao Yi didn’t disclose what major he planned to study.
He hadn’t really made up his mind yet.
It’s not that he had difficulty making choices, he initially planned to major in mathematics. But after solving the Collatz Conjecture and working on the extension of the Riemann Function, he felt that majoring in maths might prove to be more trouble than it’s worth.
Firstly, he could learn it on his own.
If it was rely undergraduate-level mathematical knowledge, he could master it through self-study without much difficulty, regardless of the subject.
Secondly, he wasn’t passionate about mathematics. He pursued research studies in it rely because it ’yielded results’, and he did it only as a side thing.
Of course.
Mathematics is the foundation of all subjects, it must be studied well. However, there seems to be no need to deliberately choose it as his major.
After eliminating the option of majoring in mathematics, Zhao Yi felt confused. He knew he wanted to major in a field related to Arts and Sciences, was he supposed to study physics, chemistry, or biology?
Physics, that’s a no.
He didn’t like subjects related to astronomy or geography either.
Zhao Yi decided to adopt an ’elimination thod for Arts and Sciences subjects’, and finally narrowed down his choices to two subjects: chemistry and biology.
"Chemistry, or biology?"
"If it’s chemistry, the outlook for scientific research is promising. But biology isn’t bad either, it could allow to explore the mysteries of the human body..."
Zhao Yi glanced up at Lin Xiaoqing, then turned his head to look at Zhao Linlin, contemplating the exploration of the human body’s mysteries...
That is indeed very appealing!
That day, Zhao Yi received his driver’s license.
He had simply set aside so ti to take the test, he didn’t actually go through any training. So, the most reliable school, it seems, is the driving school. As long as you register and pay, they guarantee that you will get your ’diploma’.
After getting his driver’s license, Zhao Yi couldn’t wait to give it a try. He rode his bike to his old house after school. When he got ho, Zhao Zhenxi had just returned as well.
Zhao Zhenxi asked in surprise, "Zhao Yi, why are you back?"
"Just ca to check in!"
Zhao Yi said cheerfully.
Zhao Zhenxi sat on the sofa and asked about his plans for college, "Have you decided which university you want to go to? Is it Yanhua University?"
"It probably will be."
"Why not Shuimu? Shuimu is such a good school." Zhao Zhenxi said, "Sun Zhiguo always says his son is going to Capital University. I just ran into him, he kept talking about it, and even asked about you. I said, I can’t control my son."
"Sun Liang is quite good, but he’s nowhere near Xiaoqing!"
Liu Jing ca over with a tray of dishes and then asked, "Why did you choose Yanhua University? You can go to Capital University as well."
Zhao Yi shook his head with a smile, "Dad, Mom, for , the choice of university isn’t important. I don’t need to fight for a degree anymore. Yanhua University has a laboratory that I’ve collaborated with, plus, I know many people there, it’s more convenient for research."
"What collaboration?" Zhao Zhenxi asked with interest.
"It’s a computer science research project. I plan to transfer the core technology and make so money from it. With that, we can buy a house in the capital and settle down. It’ll be convenient for you guys too." Zhao Yi briefly explained, putting special emphasis on ’earning money to buy a house’. The effect was extraordinary.
Liu Jing and Zhao Zhenxi imdiately stopped worrying about the university choice.
Liu Jing asked with excitent, "How much money can you make? Enough to buy a house in the capital? Good, that’s good. Many college graduates struggle to buy a house even after working for several years, then we should definitely choose Yanhua University!"
Zhao Zhenxi, however, asked about the key point, "What major do you plan to take?"
"Either chemistry or biology, I would be doing research either way."
Zhao Yi continued to talk with Zhao Zhenxi, while Liu Jing went back to doing chores. After a while, she suddenly exclaid in pain.
Zhao Yi imdiately went to check on her.
"It’s alright, just an old ailnt." Liu Jing said, holding her waist, "Co on, Zhao Yi, give a back massage, right here at my waist."
"Sure!"
Zhao Yi gave his mother a vigorous massage.
Looking at his mother’s bent back, he suddenly felt a sense of helplessness. His mother’s health had always been precarious, not in the sense of being weak, but due to Rheumatoid Arthritis, which brought along a series of symptoms.
This disease wasn’t terribly severe, but it wasn’t minor either. The problem was that it was incurable.
From his mories of a decade later, his mother had always been controlling the disease with dication. The treatnt certainly had so effect, but the joint pain was inevitable. Whenever they went to the hospital for treatnt, they were just prescribed dication.
At that mont, Zhao Yi felt powerless. Even though he could create intelligent robots, solve nurous problems, and design sophisticated algorithms, how could that help his parents?
In terms of personal life, he has rely earned more money.
His parents had scrimped and saved all their lives, even if they had money, they would struggle to truly enjoy anything, and their dical issues would still remain unresolved.
Zhao Yi suddenly knew what he should study.
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