Mediterranean Hegemon of Ancient Greece Chapter 70: A fierce debate about a mathematics tragedy

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Although this made Spiusips and the others feel a little frustrated, it also inspired their determination to study hard.

In addition, what makes Spiceps and the others curious is that since the beginning of the Scholars Conference, there has been an endless stream of Dionian people who have come to the college to listen to lectures, and the entire college is full of people, even Turriy Soldiers had to be sent into the academy to maintain order. In the end, the academy imposed a rule that “only a fixed number of people who came to attend classes should enter the academy every day.” Even so, many people outside the academy can still be seen wandering every day.

Oleas once talked to them. Among these people are public officials, farmers, merchants, craftsmen... some Turíi, and others from Campania, Greater Greece, Apulia, Sicily... And not only the Greeks, but also the Lucanians, Brutis, Mesapis... Most of them have studied in schools in various cities of Dionia. Even if they are busy with their lives, they still long for knowledge.

From the questions they asked in the venue, it can be seen that their level of knowledge is not low. This surprised Spisips and Oleas because of the level of speech and communication. It is often a matter of a few people, and knowledge is not universal in many Greek city-states, even if it is prosperous like Athens. Every year when the Athens Citizens' Assembly selects generals or expels politicians, it is common for illiterate citizens to ask others to help them write on pottery pieces... The Dionians’ pursuit of knowledge is so ardent that they are embarrassed.

On the afternoon of this day, Oleas and the others hurriedly rushed from the School of Philosophy to the School of Mathematics, because there was a lecture by Foster Kada.

The conference of scholars held in Dionia also provides a stage for young scholars. As long as their applications are approved, they can also give speeches on stage, interspersed with well-known scholars' speeches.

Of course, most of the young people speaking on stage are students from Dionia Academy. After all, they are more fully prepared, and naturally more of them pass the assessment.

Foster Kada, as the students of the Dionian Academy, the earliest and best known by Spiceps and Oleas, they also invited them to Christo in the city last night. Ya’s restaurant ate, so Spicepus and the others will of course come to join in, and they are also curious about what Foster Kada will say, because he was tight-lipped during the chat last night.

When they entered the conference hall of the Mathematics Academy, Foster Kada's speech had already begun.

What they saw was an amazing scene: some spectators off the court yelled to rush to the stage, blocked by soldiers, and some even threw stones on the stage. Foster Kada was surrounded by his classmates, and he resolutely told his views in a louder voice, and at the same time wrote the argumentation process with a white pen made of limestone on the dark wallboard.

"What's the title of Foster Kada's speech?" Oleas asked the audience next to him hurriedly.

The listener said impatiently: "On the Existence of Numbers Except Integers and Ratios of Integers." Then he continued to listen intently.

Oleas finds the subject a bit familiar.

"Hipassos!" Spiusips reminded him next to him.

Oleas suddenly realized. The reason why he felt familiar was because this topic involved an academic tragedy that occurred in Great Greece decades ago.

Hippassos, is a Metapontum, a disciple of the Pythagoras school. When he studied the regular pentagon, he found that its diagonal and side length could not be expressed by integers or ratios of integers. Then, he found that the side length and diagonal of a square are also the same.

So full of exploratory spirit, after repeated verifications, he confirmed one thing: In addition to integers and integer ratios, there is also a kind of number that cannot be divisible, and cannot get an accurate number. Exhausted, it cannot be recycled.

Then he put forward his views in a discussion meeting of school members.

The members of the Pythagorean school were panicked, because if the discovery of Hippassos was confirmed and promoted, it would overthrow the founder of the school Pythagoras’s "All things are counted, one is All the generators of numbers and everything in the universe are attributed to the philosophy of "the ratio of integers to integers". As a result, other members of the Pythagorean school imprisoned Hippassos and eventually threw it into the sea and drowned it alive.

The incident finally spread after the complaints of the Hippassos family.

Oleas knew about such an incident and didn’t know the detailed process, but seeing the angry protesters in the audience, he knew that it must be a member of the Pythagorean school, and he couldn’t help thinking. Sweat for Foster Kada.

Foster Kada did not pay attention to the screams of these people, and calmly continued to solve the problem on the wall.

Spicypus stared at the siding. He saw that the numbers and symbols used by Foster Kada were the "Davers Numbers", which was said to have been invented by King Daves inspired by Hades. This "Daves number" was initially only popular in the Kingdom of Dionia, and later spread to other city-states through merchants. It was gradually accepted by the people of other city-states and even scholars. After all, it is too convenient for counting and computing. And fast, especially to eliminate the Greeks' troubles of counting large numbers, so scholars and people here today can basically understand it.

Foster Kada drew a square on the wall panel. He set the length of each side to one, and then he solved the length of the diagonal. Ironically, Foster Kada used the The Pythagorean theorem invented by Dagolas. As a result of the calculation, the length of the diagonal becomes the square root of two.

Foster Kada then used the method commonly used by the Pythagorean school-the method of contradiction to prove that this number cannot be represented by the ratio of two integers. After his successful argumentation, he continued to try to extract two squares.

At this time, he used an algorithm that he called the "dichotomy". Seeing that the entire siding was almost filled, he threw away the white pen, wiped the sweat from his forehead, and turned to face The audience in the audience said loudly: "After my calculations, the length of the diagonal of this square should be 1.4142... This number does not end. It will be endless and non-circular. It cannot be written as two integers. Ratio, so it is not a natural number, I call it an unnatural number..."

"Shut up!"

"Nonsense!"

"Everything you said is wrong, there is no such number! What right do you, a little student, have to slander the great Pythagoras! Insult our school! Get out of here and let us have a good time I'll teach you a lesson!..." The members of the Pythagorean school yelled.

The deputy dean of the Mathematics Academy in the front row of the venue stood up angrily, and sternly shouted: "What is the trouble! This is Dionian Academy, not Tarantum! Soldiers, don’t take these seriously. , But the stupid person who made trouble kicked me out!"

Maticlis has the status of a patriarch of the kingdom. When he said this, the soldiers rushed up to arrest these troublemakers.

There was chaos in the venue, and a member of the Pythagorean school shouted: "Maticoris, you traitor! I knew you would use Dionia's power to suppress us Pythagoras. Russ school, because you can’t compare to us academically! Originally, when we came to Turei this time, we wanted to see what new ideas you have, but we didn’t expect to... Shit!"

"Whether the "All Greece Scholars Conference" is good or not, it is not your turn to comment!" A loud voice came from the entrance of the venue.

"Your Majesty Daves!!"

"Your Majesty!!!"

……

In the exclamation of the audience, Davers strode to the podium.

Photographed by Daves' power, the members of the Pythagorean School also stopped yelling, and a strange silence soon appeared in the venue.

Daves stepped onto the podium, and Foster Kada respectfully saluted him.

Davers patted his shoulder lightly, then faced the audience, and said in a deep voice: "This is a sacred place for imparting knowledge and exchanging knowledge. Swearing and fighting are forbidden. Violators will be punished. "Onia Law", I hope you will not violate it, otherwise you will be punished by the law regardless of who you are!"

"Your Majesty, we have no intention of breaking Dionian's law. However, in such an influential conference, the Dionian School of Mathematics deliberately chose such a topic to discredit and discredit the respected patriarch of our school— -Pythagoras, wantonly attacking the reputation of our school, destroying the unity between Dionian and Tarantum, I think this is not what you want to see... I hope your majesty can treat this The perpetrators of the incident shall be dealt with seriously!" As an important member of the Pythagorean school, Lysis did not make a fuss like others, but used his sharp arguing ability to protest strictly.

"Your Majesty, listen to me..." Matikeris was anxious to argue, Daves glanced at him sharply like a knife, and he stopped speaking with a guilty conscience.

Daves has coordinated the schedule of the conference before. He generally knows the topics of the famous scholars' speeches, but he doesn't understand the content of the speeches of young scholars, because these are all arranged by each college. But as a disciple of the original Pythagorean school, how could he not know the possible impact of this incident, so he did not tell him, so he quietly arranged for the students to talk about such a topic, of course Daves Will be dissatisfied with him, because it may ruin such a conference that is not easy to organize.

If it weren’t for the anxious intention of going to the College of Letters in the morning in Hernipolis, Daves asked by the way what is the content of today’s conference, and Aristotles sent someone to the academy to inquire about it. , Came back and told him that he might not know until after the conflict became serious.