Knowing that there are tigers in the mountains, I prefer to go to the mountains. Is he Nicholas? Ivanovic? Lobachevsky, a famous Russian mathematician. Maybe his name is not widely known, but it is mentioned? Can parallel lines intersect? This theory, you may think of this mathematician, who was ridiculed before his death, and this mathematician was recognized only 12 years after his death.
Ignoring his father's advice, he put forward a proposal that shocked the world? Can parallel lines intersect? At first, he was ridiculed, but he was not recognized all his life and eventually died of depression. It was 12 years before he was finally recognized by the mathematics community. What a bumpy process?
Despite dissuasion, Russian mathematicians struggled for 30 years, openly challenged axioms, and were finally recognized after 12 years of death.
Ignore the principles of dissuasion and challenge.
As we all know, it is impossible for two parallel straight lines to intersect, and the fifth postulate mentioned today means that if a straight line intersects with the other two straight lines, the sum of the two internal angles formed is less than two right angles, and if the other two straight lines are extended, they finally intersect.
This axiom puzzled mathematicians of all ages, including Lobachevsky and his father. In order to prove the fifth axiom, my father spent his whole life without success, and he was unwilling.
But when he heard that his son was going to study, everyone thought that he would support his son to study. This is common sense, but the fact is just the opposite. Lobachevsky's father told Lobachevsky? Stop studying this unprovable axiom. I have failed countless times. Don't get involved again, okay? .
However, Lobachevsky didn't listen to his father's dissuasion, knowing that there were tigers in the mountains, he would rather go to the mountains. In order to continue his father's unfinished business, he decided to devote himself to the study of the fifth axiom, and it was this decision that took him a lifetime.
18 15 Lobachevsky began to study this fifth postulate, which was not proved by Euclid, and no one questioned it.
For many years, algebra has devoted itself to the proof of postulate, but it all ended in failure. Lobachevsky decided to do the opposite. While everyone is proving its existence, Lobachevsky is trying to find a way that the postulate cannot prove.
Despite dissuasion, Russian mathematicians struggled for 30 years, openly challenged axioms, and were finally recognized after 12 years of death.
Funny? This theory was ridiculed.
Lobachevsky spent years looking for an unprovable method, which is now? Reduction to absurdity? . According to Lobachevsky's logical theory, a new axiom system has finally emerged after putting forward the negative proposition of the fifth postulate again and again, which has been doubted by countless people, but there are no contradictions and mistakes. He used a new axiom system to prove the existence of this postulate.
However, the academic circles at that time did not like this unconventional behavior, and what they did not like was to constantly question this absurd theory. 1826, Lobachevsky published a paper, which is also the beginning of non-Euclidean geometry.
The unconventional proposition mentioned in Lobachevsky's paper is completely contrary to the great mathematician Euclid's geometry. How could it be accepted by people who believed in Euclidean geometry at that time? At the end of the lecture, all the people present were silent, which also meant that they disagreed with the theory. The proposition that Lobachevsky proved in more than ten years was rejected by everyone.
In the following years, it was ridiculed and attacked, and this paper disappeared. However, he was not discouraged. 1829, he wrote a new book, Principles of Geometry. 1832, he asked to be sent to an authoritative organization for review, but he was ridiculed again.
No one can understand him, no one recognizes his papers, and no one recognizes his achievements. Even the great mathematician Gauss never publicly acknowledged Lobachevsky's achievements for fear of affecting his reputation.
Despite dissuasion, Russian mathematicians struggled for 30 years, openly challenged axioms, and were finally recognized after 12 years of death.
He died with regret and was finally recognized 12 years later.
Lobachevsky lived in such a questioned society for a long time until he was forced to resign in his later years. It never rains but it pours. Lobachevsky's talented son died of illness, which is undoubtedly a heavy blow to Lobachevsky.
Lobachevsky's physical condition is not as good as before. He was very ill and finally went blind. 1856, Lobachevsky remembered his father's dissuasion, and his heart was filled with emotion. Finally, on February 1856, Lobachevsky passed away with regret. When he died, he was still thinking about his documents. Even though he was blind, he didn't give up the proof theory.
One year before his death, he dictated to his students and finished geometry. He never imagined that his theory would be recognized by academic circles and the world after 12 years.
After struggling for non-Euclidean geometry for 30 years, Lobachevsky's theory was finally proved to be correct in a paper published by Bertram in 1868. This paper once again attracted the attention of the academic community. After careful calculation, the academic community finally recognized Lobachevsky's achievements.
Different from the previous ridicule and ridicule, people in academic circles now greatly appreciate Lobachevsky's theory, and even call it Lobachevsky? Copernicus in geometry? .
Despite dissuasion, Russian mathematicians struggled for 30 years, openly challenged axioms, and were finally recognized after 12 years of death.
Lobachevsky is fearless in such adversity. Although he failed again and again, he didn't give up. Even though he didn't get everyone's approval, he still insisted on his theory and created a complete theoretical system for his proof theory. How can such a person not be discovered and recognized? It can be seen that his achievements have finally been recognized beyond reproach.
Fortunately, God is fair to everyone, and his efforts will be rewarded. History is also fair, and will eventually make an objective evaluation of these things that are not recognized, questioned and ridiculed.
In the long river of history, it is not difficult to withstand temporary difficulties and setbacks, and there are not a few such people. What is rare is that they are brave as always in adversity all their lives. Lobachevsky is such a soldier.
Countless setbacks and difficulties have not knocked him down. What is more commendable is that he has struggled for his own research all his life in such a predicament. This is exactly what every scientific explorer should learn, and it is also worth learning.
I persisted all my life and was finally recognized. I am in a dilemma. I am writing a legend. When you encounter difficulties, don't be discouraged. Try to look at the problem from another angle. Maybe you will find a better solution, because God will not be stingy with people who are good at thinking.