拓扑空间的定义形式与数学思维的培养外文翻译资料

 2022-05-05 09:05

附录B 参考文献(原文)

Inspiration thought in mathematics discovery function

The inspiration thought has two big achievements: Thought flash and thought jump. The thought flash is breaks through the traditional thought new thought luminous. The thought jump is the new concept which, the new viewpoint, the new theory, the new mentality brings by the thought flash. Therefore the inspiration is the innovation kindling material. The creation main body explores with hardship in the mathematics terra incognita, diligently strives, but do not its solution, often motion a person to not go, drives not to disperse, creates the wide range on the cerebral cortex the excited central area, even if has put aside temporarily or gives up, in the cerebrum still preserved the massive related information, main body subconscious in was still not carrying on for the main body detection related information conformity operation, once the cerebrum and the outside accidental opportunity (catalyst) contacts, subconscious with obviously realizes carries on the communication conformity, the biggest barrier which in the thought meets links up suddenly, thus has the inspiration, the unprecedented viewpoint, the method or the new theory were born.. The inspiration thought that takes by surprise suddenly, for mathematics discovery and the innovation by the rich imagination, it has broken through the thought main body solely, narrow, the ossified old ideological mode, inspires the people to develop the new mentality unceasingly, discovered and the creation for mathematics has provided the new open world. The inspiration thought is the logical thinking, the non-logical thinking and the thinking in images interweaves mutually the interaction rapid sublimation. The inspiration thought constrained by the existing thought achievement, it cannot change the old consciousness, the change game rule, asks the new question, develops the new understanding domain, invents and creates the unprecedented new thought that the new idea and the new theory, it is in mathematics discovery and the creation the essential thinking process and the important way. Therefore, the inspiration thought's function is creatively the solution mathematics hard problem, completes discovers and creates the most arduous duty. The inspiration thought discovers and mathematics creation for mathematics provides the mentality, to provide the clue, to provide the inspiration, to provide the tentative plan, and urges mathematics discovery and the creation success finally. Looks over the entire mathematics history, each discovery and the creation with mathematician's inspiration connect closely, may say, does not have the inspiration thought that the entire mathematics history will rewrite, our mathematics kingdom cannot be so colorful complexly surely, bright. European several Reed "Geometry Originally" the fifth postulation, since the 3rd century B.C., passed through for more than 2000 years, many people suspect it, thought that it is only a theorem, and attempts to prove it. The people rack brains for it, many people were defeated. The 18th century Hungary's young mathematician J. Bao Ye also pondered this postulation, J. Bao Ye is engaged in this work, is precisely his father the enterprise which life-long does not have for it struggle harvests. His father wrote in 1820 for in his letter says “: Do not do again overcomes the parallel postulation the attempt”, “I passed through this endless night miao non-hope darkness, has buried my life in here all brights and all joyful” “, perhaps this bottomless darkness will gobble up 1000 will just like lighthouse Newton, but will cause the earth not to be forever bright” “, it will eliminate you to live all time, the health, the rest and happiness”. But, J. Bao Ye has not submitted to this perilous undertaking, he undergoes a lot of time attempt, knocks one's head against the wall, the sudden inspiration produced. He no longer proves it, but uses a new postulation to replace the fifth postulation, from this has promoted another set complete and not contradictory geometry, has obtained with Luo Baqiefu the Siji same level significant achievement: Establishes the non-European geometry. The non-European geometry's discovery finally has not only solved the parallel postulation problem, moreover liberates the geometry from its conventional model. Created many different system's geometry path to open. But this is also one of mathematics modern development actual beginnings. The 17th century Germany renowned mathematician Leibniz, when developed the multiplication computer, repeated test many kind of plans, always also have actually proposed not the high machine's operating speed. Afterward he discovered that must raise the speed, must use one kind to suit the machine arithmetic the register method. But, he has thought deeply about the very long time with hardship, also has not found out a great idea. The friend who does missionary work in China, has mailed primal chaos eight ancient divination symbol charts to him. This ancient and mysterious design, has aroused Leibniz's enormous interest, has triggered his inspiration, has invented the binary system method of attributes finally. Now the electronic accounting machine so widespread application in the various trades and occupations, each domain, Leibniz's binary system notation has lasting achievements. British mathematician Hami leads (W.R. Hamilton,1805-1865) was the search quaternion number struggles 15 springs and autumns still to come to nothing with hardship. One day, he and the wife takes a walk along Berlin imperial family canal, the cool night breeze has scattered one day-long weariness, his train of thought has aroused the mighty waves, according to his recalling: “......This time this I felt the thought the closed circuit, but fell from the spark was between i, j, the k fundamental equation, will be exact

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