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I agree with this feeling, and I can see it in myself and the people around me.
The various knowledge units in the mathematical knowledge system constitute a relatively stable form of combination and connection, which indicates the way in which the knowledge units are combined in the mathematical system, what position they occupy in the mathematical system, and how they determine the overall function of mathematics. Among them, the knowledge unit refers to the basic constituent factors in the knowledge system, and the mathematical structure can be divided into macro mathematical structure and micro mathematical structure according to the different selection of knowledge units.
Macroscopic mathematical structures take mathematical theories or larger hierarchical systems as structural knowledge units; The microscopic mathematical structure is based on the study of the composition of mathematical theories, the analysis of the status, role and combination of its specific components, and the laws of the formation of mathematical theories, or in other words, with "propositions" as the unit of knowledge, and the mathematical axiom law expounds the microstructure of mathematics.
Macroscopic mathematical structures can be further divided into dynamic and static structures. The static structure does not have a time factor, and the mathematical structure does not change with time; Dynamic structures contain a time factor, and mathematical structures change over time. Mathematical structures can be divided into epistemic structures and logical structures in terms of expression.
In general, the dynamic structure behaves as epistemic, which means that the order of connection of knowledge units in the structure is consistent with the historical epistemic order. The logical type includes two types: deductive and inductive, which are mainly the types of mathematical microstructure.
An isolated unit of knowledge does not matter how it is combined, so a sufficient number of knowledge units is a necessary condition for the study of mathematical structures, in other words, the mathematical structure of mathematical theories can only be carried out when they are formed.
The structural approach takes a holistic view of mathematics, focusing on the interconnections between the various branches of mathematics and illustrating what unites mathematics and makes it diverse.
The structural approach looks at mathematics from a change point of view, arguing that structure is not immutable. The structural approach also advocates that the truth of mathematics should ultimately be tested by scientific practice, and that successful scientific experience should be used to support the structural viewpoint.
The significance of the structural approach is also to enable mathematicians to realize an important thinking economy, and in the past, in order to solve a specific mathematical problem, mathematicians had to explore suitable tools for the specific problem according to its characteristics. With axiomatic methods and structural concepts, mathematicians are free to dispose of the entire library of theorems belonging to a certain type of structure once they recognize a relationship between the elements under study that satisfies the axioms of a known type. In other words, what used to be one method to solve a problem, now one way to solve a class of problems, in a sense, axiomatic and structural methods, standardize mathematical tools.
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agree, many people do.
Mathematics is the reflection of the human brain on the real world, and the essence of the real world lies in its material unity. As a form of reflection of the material world, mathematics must be unified. With the development of mathematics and the deepening of understanding, the understanding of the nature of the real world will increasingly show this unity.
The great development of science and technology and the great differentiation of scientific theories in depth have promoted the development of mathematics and the differentiation of mathematics, and geometry, algebra, analysis, probability theory, trigonometry, etc. have begun to become independent disciplines, and they have all developed in depth. For example, the emergence of analytic geometry on the basis of the full differentiation of geometry and algebra can be regarded as an attempt to unify mathematics, and this unification of algebra and geometry promoted the development of mathematics and laid the foundation for the emergence of calculus.
The method of calculus has made great achievements in mathematics and its applications, and mathematicians have applied analytical methods to various fields of mathematics, which has brought new possibilities for differentiation and unification. The strictness of the analytic theory has linked it with the theory of real numbers and the arithmetic of natural numbers, and the axiomatic method has gradually become a commonly used expression method in mathematics, and the consistency of the expression methods of various branches of mathematics also reflects their essential unity. The study of mathematical foundation problems shows the consistency of mathematics on foundations.
Algebra and geometry differed greatly in the early days, both in terms of basic concepts, basic methods, and problem-solving, but modern algebra and geometry theories have rapidly developed"Fusion", like the cohomology group theory of tunal algebra and topology, has some of the same concepts and methods; In addition, the new theory of algebraic geometry can no longer determine whether it belongs to a branch of algebra or a branch of geometry. Other branches, such as statistical mathematics, which studies random phenomena, and algebra, geometry, and analysis, which study deterministic phenomena, are increasingly combined, giving rise to a series of comprehensive and marginal disciplines. In modern mathematics, the combined use of methods from various branches is more common.
In fact, there is no clear boundary between pure mathematics and applied mathematics, especially in modern times. From specific applications, it can be developed into "pure" theories, such as several theoretical problems of graph theory; Many results of pure mathematics have been applied, such as the uniqueness theorem of factor decomposition in number theory and the pure theoretical problem of exploring the factor decomposition of large numbers.
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More and more college students are becoming egoists, I think this phenomenon is a norm, and most college students are happier nowadays, which leads to many times when they only think about themselves and don't see the interests of others at all.
In my opinion, today's college students live in a happy environment, and they are born with a golden key, which leads to many times when they have no one in their eyes and no one else in their eyes. Life is getting richer and richer, which leads to everyone's life getting better and better, and many times it is not a good thing for children to be born in a happy environment, and they will take advantage of their family's love for them to become more arrogant and willful.
We must know that life will definitely get better and better, after all, society is developing in the era of progress, which leads to the fact that the children who walk behind will definitely be happier, which also leads to them definitely taking advantage of their parents and family to become very arrogant. College students are originally alone in college life, which leads to many times they are a human thought, after all, they do not have the company of their families, so that they know how to protect themselves, in their opinion, to protect themselves need to consider themselves, so that they will make themselves safer.
Today's college students often live in their own world, and in their opinion, they are very good if they can go to college, which leads to no one in their eyes and no one can tolerate other people. As an adult, they will always only think in their own interests, after all, they have experienced too little, which leads them to not think about other people at all, and they only have themselves in the world, which leads them to become egoists. College students actually have a lot of thorns in their bodies, which leads to them often only thinking about themselves, so that they feel more secure and will make themselves happy.
Today's college students are relatively happy, they don't suffer any hardships at all, which leads to them only greedy for enjoyment a lot of the time, and they are very angry when their interests are not satisfied, which will make them nourish bad behaviors and make them a relatively selfish person.
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This phenomenon is the norm. Yu Minhong said in the live broadcast room, "More and more college students have become egoists, and to put it mildly, they are exquisite egoists." Not enough attention to what is happening in the world, not enough ability to feel for the country.
This is not the first time Yu Minhong has made controversial remarks.
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This is not only a norm, but also a regular manifestation, because young people are now more influenced by society, so they will become such people.
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This phenomenon has become the norm, and the main reason why many college students become like this is to want to get a better development and better promotion in their future life.
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Yu Minhong said that more and more college students have become egoists, and the so-called egoists are always self-centered, and they will not consider other people's ideas at all, and many times only think from their own point of view, which leads to only themselves in their eyes and no room for others.
In my opinion, more and more college students are selfish, they don't care about other people's thoughts at all, and they always think about themselves in front of things, and they always put themselves first, which is the so-called egoist. Today's college students live in relatively wealthy families, they enjoy a good living environment and conditions after they are born, and their families are very fond of their children, which also causes them to become selfish and do not think about others at all.
The so-called egoist is to always put himself first in front of anything, only think about his own interests, and will be happy when his own interests are satisfied. In their hearts, they simply can't tolerate other people, and they won't consider the interests of others, and in their opinion, they are the greatest, so others will not be put first by themselves at any time, otherwise they will only make themselves more embarrassed and make themselves more angry.
Egoists will not be welcomed when they go to the **, after all, no one in their eyes can not tolerate others at all, and in front of many things, they will not consider others at all, which leads to them becoming a thorn in the side of most people, and they cannot integrate into collective life at all. Once a college student becomes an egoist, I believe that it will not be of much help to his studies, and many times he will not get a good experience in college life, because such people will only be excluded by everyone.
In my opinion, college students should enjoy their college life well, and they should think more about regretful others, and don't just take care of their own thoughts, otherwise they will put themselves in a bad situation. There is no room for egoists in society, and you must know that once college students become such people, they will definitely not be of much help to their future development, so only by learning to consider others will they get more long-term benefits.
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The egoist is the sedan chair that lacks a certain sense of family and country, and only pays attention to his own things, things that are beneficial to himself, and focuses on trivial things and small things that disturb the sails.
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In fact, he only cares about his own interests, and never cares about the feelings of others, and his parents don't like it very much.
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Now students go to Dachang to study to increase the starting point of their own work. A university degree is a stepping stone and foundation for a job, and with a diploma and knowledge, there are certain advantages that can be chosen for a better job and increase the starting point of the job.
What is the significance of college?
The purpose of the university is not only to increase knowledge, but also to build our ideals. Our university is a place where people of different backgrounds, beliefs, and nationalities can come here to study and discuss ideas freely and openly. For our students, the school is more than just a place to teach professional courses.
The school teaches us how to better find our place in life. This positioning includes two keywords, one is value and one is meaning. The first is the measurement and calculation of the operating costs of living, and the last is the pursuit of a higher level of life, that is, to achieve self-transcendence.
Going to college broadens your horizons.
The university is a social university, rich knowledge at the university level can broaden your horizons, many social activities can increase your knowledge, various platforms can show your abilities and the benefits you get from it, many alumni from all over the country can give you the opportunity to experience the culture of different regions, and eclectic programs can increase your experience. <>
Going to college is good for the education of future generations.
Higher education can provide children with better educational enlightenment and allow them to receive a better education. It is undeniable that people with higher education such as universities have more opportunities for their children to receive a better education. Whether it is the initiation stage of a child's education or the selection stage of a child's education path in the future, parents who receive higher education can often choose a better education path for their children, which greatly affects the overall quality of their children and grandchildren.
All in all, enrolling in a university gives you access to more valuable information, access to available resources, and funding for future development. Not going to college is completely different from college, which allows you to obtain more valuable information resources, human resources, knowledge resources, etc., to provide strength and security for future work, employment and development. Going to college doesn't guarantee that you'll find your dream job, but it can guarantee that you'll have more opportunities and resources on your way to your dream job.
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The main reason for students to go to college is to have a better future for themselves and make their lives more comfortable, and they also hope to work hard for themselves to achieve a better life by examining their own abilities.
Yu Minhong, male, Han nationality, born in 1962, from Jiangyin, Jiangsu, is a member of the Democratic League. Graduated from the Department of Spanish Languages of Peking University with a university degree. In 1985, he became a teacher in the Department of Foreign Languages of Peking University, founded Beijing New Oriental School in 1993, and established New Oriental Education and Technology Group in 2003. >>>More
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