Preamble:
In our daily lives, we encounter a variety of preconceived thoughts that can make it difficult for us to accept something out of the ordinary. In the field of mathematics, there is also a kind of thinking that it is difficult for people to accept mathematical theories that are far beyond the common sense of the world. Take the theory of the intersection of parallel lines as an example, the traditional thinking thought that this is impossible, there is a mathematical wizard who proposed the possibility of parallel lines intersecting, and the proposal of this theory has aroused doubts and criticism from the entire mathematical community, and this mathematical wizard also broke down because he could not bear the great pressure and personal encounters from the academic world, and finally passed away. It was 12 years after his death that an Italian mathematician confirmed his theory of the intersection of parallel lines.
1. The death of a mathematical genius provokes thought
This mathematical wizard was Lobachevsky, who proposed the axiom that subverted the traditional mathematical theory, believing that parallel lines could intersect. The proposition of this axiom shocked the entire mathematical community, and many mathematicians expressed great doubts and denials about it, believing that Lobachevsky's axiom was wrong, completely contrary to the basic principles of mathematics, and could not be established at all.
Under such tremendous pressure of public opinion, Lobachevsky's life also became extremely difficult, not only in academic criticism and isolation, but also in his personal life, he could not bear such pressure and blows, and chose to die.
Lobachevsky's death plunged the entire mathematical community into heavy grief, and at the same time triggered a deep reflection on mathematical thinking.
2. Experimental verification by Italian mathematicians
At a time when people were grieving and lamenting Lobachevsky's death, an Italian mathematician made an astonishing move by saying that he would conduct an experimental test of Lobachevsky's axiom to see if it was really possible.
Surprisingly, after a series of complex and rigorous experiments, the results of the Italian mathematician's experiments confirmed Lobachevsky's axioms, that is, the theory of the intersection of parallel lines proposed by him was completely correct and did not violate the basic principles of mathematics.
This result shocked the entire mathematical community again, and also made people feel extremely sorry and sad for Lobachevsky's passing, after all, if the original mathematical community could have given enough support and respect, he might not have left us because of great pressure.
3. Profound reflection on mathematical thinking
After the experimental verification of Italian mathematicians, the whole mathematical community also fell into a special mood, and people began to reflect on the original attitude towards Lobachevsky's axioms, and began to reflect on the thinking mode of the entire mathematical community.
Is it because of general cognitive biases that people cannot accept Lobachevsky's axioms? Is it because people's thinking is limited by their inherent thinking that they blindly adhere to traditional mathematical concepts and cannot accept new mathematical theories?
In fact, Lobachevsky's axioms teach us an important lesson in mathematical thinking, telling us that mathematical thinking also needs to be open and flexible, and to have the courage to challenge and question existing mathematical concepts, so that we can continue to promote the development and progress of the field of mathematics.
When there are some extraordinary things, we should not blindly deny and reject, but should treat them with an open and inclusive mind, so that we can get more inspiration and breakthroughs.
Epilogue:
Lobachevsky's death has brought great shock and reflection to the entire mathematical community, and he has been working hard for the development and progress of mathematics all his life, but unfortunately he has not been able to get the understanding and support he deserves.
His death has also taught us an important lesson in the mind, making us realize that the emergence of genius requires sufficient support and respect from society, and the need to get rid of all kinds of mindsets and discrimination, so as to create more miracles and possibilities.
Only by maintaining an open and inclusive mindset can we meet the unknown challenges and create our own wonderful and miracles.