Chapter 70: A Heated Debate About a Mathematical Tragedy
Although this made Speippus feel a little frustrated, it inspired them to study harder.
In addition, what made Spicippus curious was that since the beginning of the scholars' conference, there had been an endless stream of Dionian people who came to the academy to listen to lectures, and the entire academy was so crowded that Turii had to send soldiers into the academy to maintain order, and finally the academy imposed a rule that "only a fixed number of people who come to the academy are allowed to enter the academy every day." "Even so,You can still see a lot of people wandering outside the school park every day.。
Aureas had spoken to them, and among the people were public officials, farmers, merchants, artisans...... There are Turian people, but also from Campania, Greater Greece, Apulia, Sicily...... And not only the Greeks, but also the Lucanians, the Brutis, the Mesapi...... Most of them had studied in schools in various cities in Dionia, and even though they were busy with life, they still had a thirst for knowledge.
From the questions they asked in the meeting, it can be seen that their level of knowledge was not low, which surprised Spiticippus and Aureas, because such a level of speech and communication was often the business of a few, and knowledge was not widespread in many Greek city-states, even if it was prosperous as Athens. Every year, when the Athenian citizens' assembly elects a general or expells a politician, it is not uncommon for illiterate citizens to ask others to help them write on pottery tablets...... The Dioonians were ashamed of their passion for knowledge.
In the afternoon of that day, Oleas hurried from the Faculty of Philosophy to the Faculty of Mathematics, for there was a lecture by Fostercada.
The conference also serves as a stage for young scholars to give lectures as long as their applications are approved, interspersed with speeches by well-known scholars.
Of course, the majority of the young people who gave speeches were Dionian Academy, after all, they were more prepared, and naturally more passed the assessment.
Fostercada, as a student of the Dionian Academy that Spitsippus and Aureas knew first and best, had invited them to the Christoa restaurant in the city last night, so of course Spicippus and they had to come to cheer, and at the same time they were curious about what Fostercada would say, because he was always tight-lipped during the chat last night.
By the time they entered the Mathematics Academy, Fostercada's lecture had already begun.
What they saw was an amazing scene: some of the spectators were shouting to rush to the stage, but they were stopped by the soldiers, and some even threw stones at the stage. Surrounded by his classmates, Fostercada was determined to speak his point in a louder voice, while writing his arguments on the pitch-black siding with a white limestone pen.
"What is the title of Fostercarda's speech?" Aureas asked the audience next to him.
The listener said impatiently: "On the Existence of Numbers Other Than Integers and Integer Ratios." Then he continued to listen intently.
Aureas felt something familiar to the subject.
"Hippasos!" Spitipus reminded him at the side.
It dawned on Aureas. The reason for his familiarity was that the subject involved an academic tragedy that had taken place in Greater Greece decades earlier.
Hippasus, a native of Metapontum, was a disciple of the Pythagorean school. When he studied regular pentagons, he found that their diagonals and side lengths could not be represented by integers or integer ratios. Then he found that the same was true for the side lengths and diagonals of the squares.
Therefore, full of the spirit of exploration, he confirmed one thing after repeated verification: that is, in addition to integers and integer ratios, there is also a kind of number, which cannot be divisible, cannot get accurate numbers, and cannot be inexhaustible, and cannot be circulated.
He then presented his views at a discussion meeting of the members of the school.
The members of the Pythagorean school panicked, because Hypasos's discovery, if confirmed and promoted, overturned the philosophical idea of Pythagoras, the founder of the school, that "everything is numbered, that all numbers are generated, and that everything in the universe is reduced to integers and the ratio of integers", and as a result, the other members of the Pythagorean school imprisoned Hypasos and eventually threw him into the sea and drowned him alive.
But the matter eventually spread through complaints from Hypasos's family.
Aureas probably knew about such an event, and he didn't know the details of how it happened, but when he saw the angry protesting audience in the audience, he knew that it must be a member of the Pythagorean school, and he couldn't help but sweat for Fosterkada.
Fostercada didn't pay attention to the clamor of these people, and continued to solve the problem on the wall panel calmly.
Spiesipus looked at the wall panels, and he saw that the numbers and symbols used by Fostercada were the "Davers numbers", which were said to have been invented by King Davers inspired by Hades, and this "Davers number" was first popular only in the kingdom of Dionia, and later spread to other city-states through merchants, and was gradually accepted by the people of other city-states and even scholars, after all, it was too convenient and fast in counting and arithmetic, especially to eliminate the trouble of the Greeks counting large numbers, Therefore, the scholars and the public here today can basically see it.
Fostercada drew a square on the wall panel, he set the length of each side to one, and then he solved for the length of the diagonal, ironically using the Pythagorean theorem invented by Pythagoras. As a result, the length of the diagonal becomes the square of two.
Fostercada then used the Pythagorean method of counterproof to prove that the number could not be represented by a ratio of two integers. After his successful argument, he continued to try to open the square of two.
At this time, he used an algorithm he called "dichotomy", and seeing that the entire wall board was about to be written, he threw away the white pen, wiped the sweat from his forehead, turned to face the audience, and said loudly: "After my calculations, the length of the diagonal line of this square should be 1.4142......, this number is not over, it will be endless, not cyclical, it cannot be written as the ratio of two integers, so it is not a natural number, I will call it an unnatural number......"
"Shut up!"
"Nonsense!"
"Everything you say is wrong, there is no such number! What right do you, a little student, have to denigrate the great Pythagoras! Insult our school! Get out of here, and we'll teach you a good lesson! ......" shouted the members of the Pythagorean school.
Matthicoris, the vice president of the School of Mathematics in the front row of the venue, stood up angrily and shouted, "What a fuss! This is the Dionian Academy, not Tarantum! Soldiers, get out these stupid people who don't pay attention to the lecture and make trouble! ”
Mattikoris is a patriarch of the kingdom. When he said this, the soldiers rushed forward to arrest the troublemakers.
There was chaos in the room, and some members of the Pythagorean school shouted angrily: "Matticoris, you traitor! I knew that you would use the power of Dionya to suppress us Pythagoreans, because you were not as academically superior to us! Originally, we came to Turiyi to see what new ideas you have, but I didn't expect ...... Phew! What an All-Greek Conference of Scholars! I think it's just a bubble of! ”
"Whether the All-Greek Scholars Conference is good or not, it's not your turn to evaluate it!" A loud voice came from the door of the venue.
"Your Majesty Davers!!"
"Your Majesty!!"
……
Amid the exclamations of the audience, Davers strode to the podium.
At Davers's majesty, the members of the Pythagoreans also stopped shouting, and soon there was an eerie silence in the room.
Davers stepped up to the podium, and Fostercada saluted respectfully.
Davers patted him lightly on the shoulder, then faced the audience, and said in a deep voice: "This is a sacred place for imparting knowledge and exchanging knowledge, it is forbidden to abuse and fight, violators will be punished, this is the law of Ionia, I hope you will not violate it, otherwise it will be punished by the law!" ”
"Your Majesty, we have no intention of violating the laws of Dionia. However, at such an influential congress, the Dionian School of Mathematics deliberately chose such a topic to discredit and discredit the respected patriarch of our school, Pythagoras, to wantonly attack the reputation of our school, and to undermine the unity between Dionian and Tarantum, which I don't think you would like to see...... I hope that Your Majesty will take seriously the perpetrators of this matter! As an important member of the Pythagorean school, Lucis did not make a fuss like the others, but protested with his sharp eloquence and righteousness.
"Your Majesty, listen to me......" Mattikoris was anxious to argue, but Davers's gaze was as sharp as a knife swept towards him, and he was too weak to speak.
Davers, who had previously coordinated the schedule of the conference, had a rough idea of the topics of the speeches given by the leading scholars, but he did not know the content of the speeches given by the young scholars, because they were all reviewed and arranged by the respective faculties. But how could Matticoris, as a disciple of the original Pythagoreans, not know the possible repercussions of this incident, and quietly arrange for his students to speak on such a topic without informing himself, Davers would of course be dissatisfied with him, because it might ruin such an uneasy conference.
If it weren't for the fact that Henipolis was anxious to go to the Faculty of Arts in the morning to listen to the lecture, Davers asked what the content of today's conference was, and Aristilas sent someone to inquire about the school, and came back to tell him that he might not know until this conflict became bigger.