New Era，What kind of talents do we need？"德、智、body、美、Comprehensive development of "Lao"，Indispensable。bet365 sign up bonus code Education in Moral Education、The value of intellectual education is beyond doubt，It also makes bet365 sign up bonus code a basic and compulsory subject for various countries and nations to train the next generation of successors。In fact，The value of bet365 sign up bonus code in aesthetic education is also irreplaceable by other subjects。

　　bet365 sign up bonus code has strong aesthetic characteristics

Plato wrote in "Hippias"，Socrates and Hippias debate the question "What is bet365 sign up bonus code"，Opened the history of Western aesthetics research。"Hippias" is the development of ancient Greek philosophy to the age of Plato，The first dedicated discussion on the question "What is bet365 sign up bonus code"，Through Socrates’ Dialectics，Plato made a clear question and argument about what bet365 sign up bonus code is: "To grasp bet365 sign up bonus code from bet365 sign up bonus code itself is the real bet365 sign up bonus code"。

Western classical aesthetics originated from ancient Greek philosophy，The philosophy of ancient Greece was integrated with science (natural science)，Philosophy is “metaphysics” as “after physics”。Ancient Greek aesthetics needs to answer，It is about the fundamental issue of "beauty"，The essence of beauty and the laws of beauty。The rational spirit that is almost a belief in bet365 sign up bonus code formed in the history of Western civilization，Played an important role in its aesthetics。The harmony of numbers、Deduction of formal logic，Form a certain way、Logic、Structural research goals and methods，All are reflected in the study of Western aesthetics。Western music、The development of art disciplines such as fine arts has strong mathematical aesthetic characteristics。The important reason is that Western aesthetics is subordinate to Western philosophy，And Western philosophy shows the rational spirit of bet365 sign up bonus code in every aspect。

bet365 sign up bonus code as a culture，Natural science in human history、The influence of social sciences and humanities and arts is very far-reaching。Scientific truth-seeking，humanity is the best，The beauty of art。bet365 sign up bonus code should be natural science plus humanities，Another combination of science and art。Pure bet365 sign up bonus code is a science，Also an art。bet365 sign up bonus code has the aesthetic characteristics common to language and art，It has its own mathematical beauty in content structure and method。Generally speaking，Simplicity、Unity、Symmetry、Neatness、Singularity、Thinking is the main feature of mathematical beauty。Due to the relationship between bet365 sign up bonus code and philosophy in Western culture、The relationship between philosophy and aesthetics，So mathematical aesthetics has been highly valued。

The pursuit of mathematical beauty，It has always been the direction of mathematicians’ own research efforts。Ancient Greek philosopher、The mathematician Proclus once thought，"Where is the number，Wherever there is beauty”。Russell thinks，“bet365 sign up bonus code has more than just truth，And has the supreme beauty - cold and simple beauty，Like the beauty of sculpture”。Hardy thinks，“Beauty is the primary criterion，Unbeautiful bet365 sign up bonus code cannot find a permanent place in the world，It may be difficult to find an educated person today who is completely indifferent to the beauty of bet365 sign up bonus code”。Von Neumann believes，“Whether mathematicians choose topics or judge success criteria are mainly aesthetics，Subjective criteria for whether a mathematician is successful and whether his efforts are worthwhile，is very self-sufficient、Aesthetic，Unaffected (or nearly unaffected) by experience”。Poincaré thinks，“The beauty of bet365 sign up bonus code、The sense of harmony between numbers and shapes、The elegance of geometry，This is the aesthetic sense that all true mathematicians know...it is this special aesthetic sense，Plays the subtle filtering role I have already said... People who lack this aesthetic sense will never become true creators"。

　　bet365 sign up bonus code provides aesthetic standards for science

History of Science，The "aesthetic standards" of scientific truth and even the "mathematical aesthetic standards"，From Pythagoras’ “celestial music” to Einstein’s general theory of relativity。The role of aesthetic standards in scientific theory discovery and truth judgment，Has triggered valuable research by many scientists。Scientific theories should be formally simple、Consistent，Harmony in content、Self-consistent，This is not only the aesthetic requirement of the scientists themselves，What’s more important is that it conforms to the general characteristics and basic laws of the research object。Cardin compares the beauty of science and the beauty of bet365 sign up bonus code，Explains that the characteristic of scientific beauty is a kind of harmony、Diversity in unity。“It is different from the beauty of pure bet365 sign up bonus code。The unity of bet365 sign up bonus code is due only to the rigor of logic: it is the unity of propositions，Propositions are reliably derived regardless of their agreement with the facts。But the unity of science is not just due to the logical rigor of theoretical explanations；It also includes experimental observations unified with logical systems，What is deduced from this system is consistent with observation。The work of science in America is a complete and complete work，The facts are some generalizations or examples of theories。Unification in science is not as perfectly realized as unity in bet365 sign up bonus code，But insofar as it contains further types of harmony，It is a richer unity，The harmony between a set of logically related propositions and a set of independent observations”。The difference between mathematical beauty and scientific beauty is，“Mathematical beauty does not require new contact with reality，No need to be consistent with observational and experimental data”。

bet365 sign up bonus code achieves great beauty precisely because of its simple abstract form but wide application。From the ancient Greek Pythagoras’ “Everything is Number”，Until the later "Occam's Razor"，Simplicity, especially mathematical simplicity, has always been the pursuit of beauty in science。Copernicus established the heliocentric system based on the pursuit of theoretical mathematical simplicity。And Kepler pointed out when explaining the reasons why he supported the heliocentric theory，“I testify from the deepest part of my soul that it is true，I admire its beauty with unbelievable joy，And this is because Copernicus’ system has greater mathematical simplicity and harmony”。Newton pointed out in his "Mathematical Principles of Natural Philosophy"，“Nature does not do anything in vain，Explaining too much is a waste of time，Succinct and concise words reveal the true meaning；Because nature likes simplicity，Won’t respond to unnecessary talk”。

Einstein is also the only reliable source of truth in the simplicity of bet365 sign up bonus code，Established his system of relativity。Heisenberg once wrote to Einstein，“I believe that the simplicity of the laws of nature has an objective character，It is not just the result of thinking。What if nature leads us to extremely simple and beautiful mathematical forms - and by forms I mean hypotheses、A consistent system of axioms, etc. - leading to forms never seen before，We have to think that these forms are ‘true’，They are the true characteristics of nature that appear。I admit it frankly again，I am strongly attracted by the simplicity and beauty of mathematical systems that nature reveals to us。You must have felt this way too: Nature suddenly unfolds before us the almost shocking simplicity and completeness of these relationships”。Einstein replied to Heisenberg，"You will object that I introduce an aesthetic criterion of truth by talking about simplicity and beauty，I admit it frankly，I am strongly attracted by the simplicity and beauty of mathematical systems that nature reveals to us”。

Maxwell also pointed out，He himself always regards bet365 sign up bonus code as a method to obtain the best form and dimensions of things；This not only refers to the most practical and economical，It mainly refers to the most harmonious and beautiful。Dirac thinks，“Theoretical physicists regard the requirements of mathematical beauty as an act of faith。There is no reason to believe it，But it has proven to be a beneficial goal in the past。For example，The theory of relativity is so universally recognized，The main reason lies in its mathematical beauty。This appreciation of beauty governs all our work。This is our creed，I believe that equations describing the basic laws of nature must have significant mathematical beauty，This is a religion to us。It is very beneficial to practice this religion，Think of it as the foundation of many of our successes”。

These great physicists，Use the simple beauty of bet365 sign up bonus code as an evaluation criterion or even a scientific belief。Mathematician Weyl commented，"In the laws of nature，As I shall later establish more precisely，Simplicity is essential。If we do not add statements that are mathematically governed by simple laws，The assertion that nature is governed by strict laws then lacks all content。This thing is similar to the law of multiple ratios in chemistry: unless we add combinations that occur at small integer multiples of relative atomic weights，Otherwise it loses all content"。Leibniz pointed out in "On Method"，"When arbitrary complexity is allowed，The concept of law becomes empty。Therefore，Simplicity becomes a working principle in the natural sciences”。

　　bet365 sign up bonus code education should pay attention to aesthetic value

　　　　，People pay too much attention to the "metaphysical" (artifact level) function of bet365 sign up bonus code in the development of human civilization，Often ignore its "metaphysical" (spiritual level) role，Ignore bet365 sign up bonus code as a tool、Thoughts、The spiritual temperament and aesthetic value behind the method。bet365 sign up bonus code education has gradually moved away from the profoundness and rational wisdom of bet365 sign up bonus code culture itself，More and more, the cultural connotation and aesthetic value of bet365 sign up bonus code are lost，People’s views on bet365 sign up bonus code are gradually becoming instrumentalistic，bet365 sign up bonus code becomes thought、Synonymous with methods and techniques。bet365 sign up bonus code is not so beautiful in the eyes of students，bet365 sign up bonus code education has almost lost its powerful humanistic characteristics and aesthetic functions contained in history。There are big problems with many people’s concepts and practices in bet365 sign up bonus code education，Tend to focus on knowledge instillation、Problem-solving skills training，Ignore the spiritual education and personality cultivation in the process of bet365 sign up bonus code education，Not too focused on guiding students to seek the meaning and value of life through bet365 sign up bonus code learning，Students’ thinking power、Creativity、Imagination is also suppressed by boring bet365 sign up bonus code，Students’ moral sense、Aesthetic sense is difficult to be enlightened through bet365 sign up bonus code learning，It is difficult to cultivate outstanding talents with this kind of bet365 sign up bonus code education、Top talents and innovative talents。

"Reason" and "emotion" are like the two wheels of a car、The wings of a bird，It is very important for the all-round development of people。bet365 sign up bonus code education should not only cultivate students’ rational spirit，It can also cultivate students’ perceptual abilities。bet365 sign up bonus code education in the new era should realize "educating people with beauty，The goal of educating people，Let students develop their sensitivity to beauty through the study of bet365 sign up bonus code，Cultivate students’ emotional experience of beautiful things，Form the correct aesthetic ability and the ability to express beauty。bet365 sign up bonus code teachers should improve their aesthetic accomplishment，Be good at using mathematical aesthetic emotions to "infect" and cultivate students' "aesthetic sense" in the teaching process，Improving students’ learning interest through mathematical aesthetic education，Increase motivation for learning、Initiative and creativity。Anyway，Let students pass bet365 sign up bonus code learning，Feeling that bet365 sign up bonus code is beautiful，The process of bet365 sign up bonus code learning should be the pursuit of beauty、The process of feeling beauty and creating beauty，Let bet365 sign up bonus code education truly restore its original humanistic face and aesthetic connotation。

　　(Author’s affiliation: School of bet365 sign up bonus code, Jilin Normal University)