一位朋友托我替他发表关于哥德巴赫猜想的看法.供有兴趣的朋友参考. note: editors and professors can first read the "part two" and "part three" of this  the baby male or female? the theory is not as good as "naked ass". verify the conject re with facts, and test the form with content. -witho t basic facts,will there be basic n merical phenomena? we m st overcome formalism. haiping li introd ction: hard blood can not be solved, "goldbach conject re" diffic lt to defeat the wise people; where does the co nt come from?there is no sol tion to abandoning it.we sho ld find the ca se of o r fail re, and we sho ld find the right way.this paper starts from the f ndamental(basic) point of the origin of n mbers to solve the basic mathematical problems. the errors of gro p cognition in history are common, s ch as the wrong nderstanding of the "geocentric theory" and the ancient "the sky is ro nd and the earth is sq are" in china. this article ses the tho ght method of epistemology that "form and content are m t ally nified" to ncover the tr th of "material content" nder the form of goldbach conject re and cape valley conject re(" 3n 1 "conject re).-- a "pop larized" "philosophy-mathematics" thesis.this article is rambling, beca se it is diffic lt to change after a long period of tho ght or habits. the core of the paper:(is it wrong abo t the f ndamental p rpose? this is an navoidable q estion! ) what is the criterion for testing whether an nderstanding is tr th? how sho ld we test the goldbach conject re and the cape valley conject re(ˋˋ 3n 1 "conject re)? this article ses facts(objective existence) to test goldbach s conject re and cape valley s conject re, and traditional research methods se s bjective definitions to test goldbach s conject re and cape valley s conject re. this is the difference between the two in the f ndamental p rpose(that is, the difference in essence). "the politician, is also. "(analects of conf ci s) scientist, tr e also. scientific person, also; from pragmatic and tr th-seeking also. there is no real name. "if the name is not correct, it will not be smooth, and if the word is not smooth, it will not be possible. "(the analects of conf ci s)(for example," phlogiston "is act ally non-existent, so it is impossible to explain the nat re of the" b rning "phenomenon. ) the n mber of things is the n mber of things, and the n mber is the degree of things; the n mber is generated by meas rement. even n mbers, odd n mbers, and prime n mbers are all derived from meas rement. witho t the meas rement(nominal), it is impossible to solve the goldbach conject re and the cape valley conject re. emancipate the mind, dark and bright; seek tr th from facts and avoid straying. this is a "pop lar" paper. "form a-content-form b" is the niversal form la for the conversion between forms. this form la is the core of this thesis. altho gh this  a paper on mathematics, its key point is the epistemology of philosophy. for example: "chinese form-(content)-english form", obvio sly(content) is the key to the conversion(connection) between forms. there is no(content), there is no m t al translation between chinese and english(ˋˋ p re speech "can not be translated between each other), and if the(content) is not acc rate, the translation will be wrong. (content) it s vital! d e to different external reasons, the content of the same essence will be different. beca se of the difference in external temperat re and press re, water will have different manifestations of gaseo s, liq id, and solid states. part i: preface -- social commitment , acc m late steadily. is the pythagorean theorem a paradox? if the heart is free, the body is bathed in the soft wind; if the heart is not free, it is like a prison. specific problems, specific analysis, are the so l of solving problems. b t not against the most basic of principles. as a general r le, p blic toilets sho ld be divided between men and women, b t p blic canteens sho ld not be divided between men and women. p blic toilets on trains or aircraft sho ld not be divided between men and women. practice shows that sing traditional analytical n mber theory method can not solve goldbach conject re and cape valley conject re. the method of this  special and alternative, and it can not be nderstood and commented by traditional analytical n mber theory. find the internal and objective reasons for existence, take objective existence as the starting point, and create corresponding external conditions, which can solve certain seemingly intractable problems. beca se the original method can not solve the problem, it is necessary to open p new ways to solve the problem. with the introd ction of the "drip irrigation technology" pioneered by israel, we can grow flowers in the desert of extreme dro ght. altho gh this  a paper on mathematics, its key point is the epistemology of philosophy. the mathematical knowledge sed is only the pythagorean theorem and the mathematical constr ction method. the task of science is to expose the tr th behind the n mero s s perficial phenomena(essence). the philosophical basis of this article is dialectical materialism epistemology, and the mathematical basis of this article is the pythagorean theorem. the basic mathematical problem -- goldbach conject re and basic mathematical problem-the "conscio sness(n mber) phenomenon" in the cape valley conject re("3n 1 "conject re), the example of verification," too n mero s to en merate. " why has it become a "mystery" that can not be solved? is this normal? tr th is often common sense, is often simple and clear. the greatest tr th is often the most common common sense; axiom is "self-evident" and axiom is the greatest tr th. is the objective physical existence(geometric fig re) determining the above "conscio sness(n mber) phenomenon"? or does the formal definition of s bjective conscio sness determine the above "conscio sness(n mber) phenomenon"? is the existence deterministic conscio sness or the conscio sness determinative existence? this is the f ndamental q estion of philosophy, it is a f ndamental principle of the world view, it is a f ndamental principle of how to nderstand the world. the f ndamental error of principle is that all efforts are in vain. this thesis based on the objective material existence(geometric fig re) to determine the principle of conscio sness, to solve the problem; the "traditional research method" believes that the "p re form definition" of even n mbers and prime n mbers of s bjective conscio sness determines the above-mentioned "conscio sness(n mber) phenomenon" to solve the problem. "traditional research methods" violate the f ndamental principle that "materialism is the premise of science" and commit f ndamental mistakes in the epistemology of idealism. therefore, it is impossible to completely and completely solve these two basic mathematical problems. in fact, the st dy of goldbach s conject re can no longer advance after reaching(1 2). even the a thorities who hold "traditional research ideas" generally believe that this is only a small part of the "long march" and is far from its destination. this thesis and "traditional research methods" are two f ndamentally different philosophical ideas. the child said: "the tao is different and does not seek sol tions. those who hold "traditional research ideas" are c rrently the "a thorities" in the world and hold the right to speak. therefore, my s bversion of the "traditional and a thoritative" nat re of the paper has been rejected by the "a thoritative p blication" since 2001. for example, on jan ary 21, 2001(an nforgettable day), the man script abo t the "goldbach conject re" sent to the "monthly jo rnal of mathematics" of a certain co ntry was replied: "i(editor-in-chief) st died yo r article caref lly with my colleag es. if the article is correct, we will not comment; if the article is wrong, we certainly can not adopt it. " the reply is clear: whether it is correct or not, do not se it! we can not accept the thesis of denying the "traditional a thority assertion", that is, s ch an "alternative" arg ment, we can not accept it! whether it s right or not. it is almost as if the pythagorean school co ld not accept the "irrational n mber √ 2". the difference is only that it does not "kill". how can "three words and two words" be taken from the sacred "pearl on the crown of mathematics"? hey! the responses of other "a thoritative p blications" at home and abroad are no longer repeated. it seems that "geometric axioms violate the interests and will also be denied. " the difference in f ndamental philosophical ideas determines f ndamentally different research methods and completely different res lts. "traditional research methods" are: like "heavenly books," b t make the problem " nknown"; the method of this thesis is: "simple and pop lar", "overnight." the pop lar introd ction to goldbach s conject re of "traditional research methods" is biq ito s on the internet. the most pop lar introd ction can be fo nd in the pop lar science book "new 100,000 why". this thesis is critical of "traditional research methods". the basis of the  very basic. the content of the  realistic. it adopts a general scientific research method, ses facts as a starting point to solve problems, and ses the pythagorean theorem as a basis to solve problems. the core idea of this thesis  core idea of this thesis is that respect for objective facts is the premise and essence of science, and there can be no progress witho t do bt. witho t basic facts, it is impossible to st dy basic scientific iss es. the goldbach conject re and the cape valley conject re are both basic mathematical problems. the error of the "traditional research method" is precisely to st dy these two basic mathematical problems in isolation from the basic facts(meas rement of geometric fig res). therefore, "traditional research methods" have made mistakes that do not respect the f ndamental nat re of facts! d e to the infl ence of long-term erroneo s ideas, many people have s ffered from the "stockholm syndrome"(in china, it is called the so l to become a "chang" ghost "-to help the tiger. ) so all the efforts made over the cent ries have been in vain. "hollow" eggs, can hatch "chicken"? 1, existence decision conscio sness, content decision form; in the final analysis, the world is material, not spirit al; materialism is the premise of scientific research. when it is separated from the material world, scientific research will go astray and prod ce "mysterio s nknowns." 2, the n mber is derived from the meas rement, the nat re of the n mber is "based on the meas rement standard" q antified "conscio s form of things." 3, the n mber of p rely formal definitions, beca se it is separated from meas rement, is a "p re form of conscio sness" witho t material content-ˋˋ hollow "eggs. since there is no s bstantive content, there is no comparison and conversion between "p rely formal defined n mbers." 4, "form a-content-form b" is the general form la for the conversion between forms, and "content" is the key to the conversion between forms. 5, "the act al contact with the living mathematical content is indispensable. "(ˋˋwhat is mathematics" first edition preface. ) "in fact, we can proceed from the most basic facts and go straight to a advantageo s position where we can overview the essence and power of modern mathematics. "("what is mathematics" first edition preface. ) 6, facts verification is the most a thoritative verification. science and h manity are together, and mathematics and philosophy are together. 7, hope that in addition to the "digital theory" professional scholars, there sho ld be other professional mathematicians, as well as other nat ral science scholars, h manities scholars(incl ding those who nderstand ancient chinese), and even middle school st dents sho ld participate in the review. to solve these two basic mathematical problems, it is eno gh to se basic methods. is it possible to solve scientific problems contrary to the basic principles of nderstanding and the basic spirit of science? n mbers and mathematics are generated from the beginning of meas rement(meas rement) and developed on this basis. always have parents before children, the order of nderstanding can not be reversed. deviation from meas rement can not solve these two basic mathematical problems. 8, the phenomenon is n mero s, and the essence is often "simple", b t the process of exploring the nat re of the phenomenon is often "diffic lt and tort o s." for example, the vario s phenomena that are essentially "oxidation reactions" are n mero s: general comb stion, explosion-intense comb stion, conversion of food into heat-ˋˋ slow oxidation reactions ", ... 9,it is impossible to find the tr th(essence) of the thing hidden behind the s rface phenomenon merely by wrestling with the s rface phenomenon and the s bjective definition of form. it is only starting from the fact that there is an objective existence. "from the s rface and the inside" and "from it and the other" can find the tr th(essence) of what lies behind the s rface phenomenon. 10,defects and mistakes are navoidable. we have made progress in overcoming them. do bt is the driving force behind progress. the most f ndamental principles in the search for tr th can not be broken. the mathematical masterpiece "what is mathematics" said in the preface of the second edition: "one of its goals is to co nter the idea that mathematics is not something else, b t only a set of concl sions derived from definitions and axioms. these definitions and propositions can be created freely by mathematicians according to their will, except that they m st not be contradictory. in short, this book wants to p t the tr e meaning back into mathematics. " the mathematical masterpiece "what is mathematics" added in the preface of the second edition: "the best mathematics sho ld be like a literary work. the story comes from the living life before yo , ca sing yo to invest yo r energy and feelings in it. " the mathematical masterpiece "what is mathematics" said in the preface of the first revision: "nowadays, nless st dents and teachers try to transcend the formalism of mathematics and try to grasp the essence of mathematics, they will have fr stration and disill sionment. the danger will be even worse. " the goldbach conject re and the cape valley conject re have ca sed many people to face the danger of fr stration and disill sionment. the reason is that there is no formalism beyond mathematics. one of the root ca ses of formalism that can not go beyond mathematics is to think that "it is indispensable to act ally contact living mathematical content. the concept of "is completely red ndant." it is believed that "mathematics can be created by mathematicians according to their will." it is believed that "mathematics does not have to be verified by facts." in short, it is believed that "mathematics is p re spirit." this kind of tho ght is completely wrong beca se it does not conform to the historical facts of the generation and development of mathematics. is it not beca se of "meas rement" that the "irrational n mber √ 2" is prod ced? in this paper, the "basis" for the st dy of goldbach s conject re and cape valley conject re is the "meas rement" of geometric fig res. basic is the most important. if yo make mistakes in basic areas, yo make the most serio s ones. morality is the most basic, morality is the most important; social commitment , acc m late steadily. h manities provide feelings for science, while philosophy provides principles and wisdom for science. h manities and science are the same, philosophy and mathematics are the same. we sho ld learn from the "first mathematical crisis." the pythagorean mistakes are f ndamentally moral flaws. morality is lacking. he pythagorean school s blockade of "irrational n mbers(√ 2)" is not self-denial: the pythagorean theorem(pythagorean theorem) discovered by himself act ally negates the creed of his school-ˋˋ integers are the most sacred. ". otherwise, the pythagorean theorem can only be a paradox. my thesis negates the "a thoritative j dgment" of goldbach s conject re as "the pearl on the crown of mathematics." from a historical point of view, it is no s rprise that he was criticized and denied. the reality will often repeat the past. history. especially when the "a thority j dgment" is denied by the little man. my thesis, there is nothing great, b t in the field of mathematics, "xiaogang village contract.(first contracted land)" i hope to be able to "throw bricks and stones". when a person criticizes tradition and s bversion of a thority, many people often throw sand at him, and there is no shortage of people who wait and see. only if yo keep str ggling and always stand at the top of the sand mo nd will yo not be "b ried alive." when the sand mo nd reached a height beyond the power of the thrower, the man won. "contract", xiaogang village people are to take big risks(even will lose their lives). fort nately, there is a "noble help." s bverting "tradition and a thority" is also a risk to be "b ried alive"(generally not to lose yo r head). i hope there is a "noble help." no one is perfect and mistakes are inevitable, b t f ndamental mistakes can not be made. this thesis consists of fo r parts: preface, the tr th of goldbach s conject re(essence), the tr th of cape valley conject re(essence) and the concl sion. the second part: the tr th of goldbach s conject re(essence) -- the point of breaking a layer of paper, a special proportional division problem. abstract: sing the above philosophy idea, that is, sing the tho ght method of " nification of form and content", by comparing goldbach s conject re with the pythagorean theorem, that is, thro gh the verification of facts, "directly solves" goldbach s conject re. first, the tr th of goldbach s conject re(essence) geometry is the basis for the generation of n mbers, and n mbers are meas res of geometry. how sho ld we solve the goldbach conject re? find the objective existence of "corresponding to" goldbach s conject re, and se the facts of objective existence to directly verify goldbach s conject re! according to this method of thinking, the "goldbach conject re" can be expressed as: "a geometry that is meas red as a large even n mber(2n) can be divided into two parts that are meas red as prime n mbers(s) and prime n mbers(s ). " 这就是哥德巴赫猜想的真相(本质). this is the tr th(essence) of goldbach s conject re. second, the arg ment-to find the objective existence of "corresponding to" goldbach s conject re the example of verifying goldbach s conject re is "too n mero s to en merate." for example: 6 = 3 3 that is(√ 6) 2 =(√ 3) 2 (√ 3) 2, 8 = 3 5 that is(√ 8) 2 =(√ 3) 2 (√ 5) 2, 10 = 5 5 = 3 7 that is(√ 10) 2 =(√ 5) 2 (√ 5) 2 =(√ 3) 2 (√ 7) 2, 12 = 7 5 that is(√ 12) 2 =(√ 7) 2 (√ 5) 2, ... in "* enmity in detail can make things happen." inspired by the ideological method of s n tz s art of war, he linked the "goldbach conject re" with the "pythagorean theorem" and directly sed the "pythagorean theorem" to verify the "goldbach conject re." [*] "enmity in detail can make things happen." the original text is: therefore, the matter of soldiers is to follow the meaning of the enemy, and the enemy has always been, killing tho sands of miles, which means that it is also convenient to be able to achieve things. ] goldbach s conject re has "three n mbers" and the pythagorean theorem has "three sq are areas." if "three n mbers" and "three sq are areas" are "corresponding", the problem is solved. 1, the expression "goldbach conject re" is: 2n = s s (1). in(1), 2n(even n mber) 6, s(prime n mber), s (prime n mber). 2, the well-known expression of the "pythagorean theorem" is: ac2 = ab2 bc2(2). compare(1) with(2) to get the right-angledabc shown below(fig re 1). * note 1: in(fig re 1), ac is the diameter of the circle-that is, the hypoten se of the right angle abc[ac = √ 2n](the area of the sq are with the side length ac is set to ac2 = 2n, th s determining the meas rement standard. ) b is a point on the circ lar c rve; a right-angled edge of the right-angled abc[ab = √ s](sq are area: ab2 = s); another right-angled edge of the right-angled abc[bc = √ s ](sq are area: bc2 = s ). * note 2: the three sq ares on the three sides of abc at right angles are not drawn(omitted). as shown in the fig re, in cartesian abc: sina = bcac =(√ s  √ 2n), cosa = ab  ac =(√ s  √ 2n), tga=bcab=(√s √s). tga = bcab =(√ s  √ s). in(fig re 1), if bc = √ s is a non-existence and ab = √ s is also a non-existence, it contradicts the fact that tga is monotono s and contin o s in(0, ∞). that is, ∠ a = arctg(√ s  √ s) = arccos(√ s  √ 2n) = arcsin(√ s  √ 2n)(3), which is a non-existence. that is, there is a "discontin ity point" on the circ lar c rve, which contradicts the fact that the circ lar c rve is contin o s. there is the above ∠ a, and there is: 1 = cos2a sin2a =(s2n) (s  2n) so 2n = s s -that is, the goldbach conject re is tr e. the tr th is the most a thoritative! it can be seen that the pythagorean theorem already incl des the goldbach conject re. it is j st that this part of the goldbach conject re is not expressed in "digital form." since the sq are can be converted into any other geometric fig re thro gh an "eq ivalent transformation"-like p tting water into a container of different shapes, its "q antity" is still nchanged, so the above arg ment is of " niversal significance". the tr th(essence) of goldbach s conject re is that when a geometry is set to a large even n mber 2n, if it is divided in proportion to(s: s ), there is(2n = s s ) s ch a relationship. [s and s are two different or identical prime n mbers in(0, 2n). ] "form a-content-form b" is a general form la for the conversion of forms. "content" is the key to the transformation between forms! by(content), a large even n mber is converted into the s m of two prime n mbers, th s solving the basic mathematical problem of goldbach s conject re. "traditional research"-forget this book. (forget how n mbers are made? ) -- forget the donkey yo re riding, co nt the donkeys: always "a donkey is missing"! "traditional research" is a "p re spirit al game." beca se the "traditional research" is separated from the basic facts, it is impossible to st dy the basic mathematical problems, th s making the basic mathematical problem, goldbach s conject re, a "hollow egg." can "empty eggs" hatch "chickens"? basic is the most important. the basic aspect is wrong, and all the s bseq ent efforts will be in vain. no one is perfect and mistakes are inevitable, b t f ndamental mistakes can not be made. in fact, the name was ret rned, and the goldbach conject re was confirmed. the third part: the tr th(essence) of the cape valley conject re("3n 1 "conject re)-a q estion of changing the" meas rement standard "thro gh the" r les of the game. " key words: form la for converting(linking) between forms; the nat re of the n mber; tg2c = 3(objective presence); the ca se of the process and its contin ation. first:a general form la for transforming(connecting) forms "form a-content-form b" is a general form la for the conversion of forms. "content" is the key to the transformation between forms! for example: "chinese form-(content)-english form", obvio sly(content) is the key to the conversion(connection) between forms. there is no(content), there is no m t al translation between chinese and english(ˋˋ p re speech "can not be translated between each other), and if the(content) is not acc rate, the translation will be wrong. (content) it s vital! by(content), a large even n mber is converted into the s m of two prime n mbers, th s solving the basic mathematical problem of goldbach s conject re. the form la "form a-content-form b" is also applicable to the st dy of the problem of cape valley conject re. there is no "content" in the form of "empty heart." "empty egg", can hatch "chicken"? second, the cape valley conject re is a "digital form conversion problem." 1, cape valley conject re text expression_r(game r les) if any nat ral n mber is an even n mber, divide it by "2". if it is an odd n mber, m ltiply it by "3" and add "1". after several s ch calc lations, the final calc lation res lt is always "1".from this we can see that the cape valley conject re is a "n mber conversion problem." 2, "the tr th of the valley conject re"(essence) the essence of the n mber is: the geometric fig re is the origin of the n mber generation, and the n mber is the expression of the "vol me size" of the geometric fig re expressed "according to the meas rement standard." for example: 6m = 3m 3 m, that is, 18 feet = 9 feet 9 feet. since the "meas rement standard" has changed, the "n mber" that reflects the same fact has changed. therefore, the tr th(essence) of the "cape valley conject re" is that thro gh the "r les of the game" of the cape valley conject re, a certain geometric fig re is grad ally t rned into a "meas re standard"-1. 3, cape valley conject re "game r les" mathematical calc lation eq ation according to the "text of the cape valley conject re", the operating eq ation(game r les) of the "cape valley conject re" is: 3q 1 = 2mq (1-1) or 3 =(2mq -1)  q(1-2), or q =(2mq -1)  3(1-3). in(1-1),(1-2),(1-3), q and q are positive odd n mbers and m are nat ral n mbers. 4, cape valley conject re "game r les" mathematical calc lation process a comprehensive example of "too n mero s to en merate" can be seen from the text al expression of the cape valley conject re and the expression of the mathematical eq ation: (1) the "first stage" of the mathematical calc lation process is: 3q 1=2m1q1 →3q1 1=2m2q2 →3q2 1=2m3q3 →...→3qt 1=2k 3q 1 = 2m 1q1 → 3q1 1 = 2m2 q2 → 3q2 1 = 2m3 q3 → 3qt 1 = 2k (2) the "second stage"(end stage) of the mathematical operation process is: 2k → 2k-1 → ... → 2 → 1. from[3 =(2m1q1 -1)  q(1-2)], it can be seen that the "whole process" of the "first stage" is: 3 =(2m1q1 -1)  q =(2m2q2 -1)  q1 =(2m3q3 -1)  q2 = · · · · ·(2mtqt-1)  qj = (2k-1)  qt(2-1) in partic lar, it m st be pointed o t that "3" is a constant constant n mber d ring the entire process of "phase 1". the "f ll co rse" of the "second stage"(end phase) of the mathematical operation process is: 2k → 2k-1 → ... → 2 → 1. (2-2) 5, abo t the disc ssion of "qt =(2k-1)  3". (22n 1-1)  3 =[2(22n-1) 1]  3 =[2(22n-1)  3] (13) = 2 qt (13) , [qt = 1 22 24 26 · · 22(n-1) =(22n-1)  3(qt is the s m of the isotropic series with a metric ratio of "22 = 4"). )] ∴[(22n 1-1)  3] is not a positive odd n mber! -the content of the proposition is inconsistent! ∴ in[(2k-1)  3], it can only be "k = 2n" and can not be "k = 2n 1". this is consistent with the "act al calc lation" of specific n mbers. therefore, form la(2-1) sho ld be expressed as: 3=(2m1q1 -1)q=(2m2q2 -1)q1 =(2m3q3 -1)q2 =···=(2mtqt-1)qj =(22n-1)qt (2-1 ) 3 =(2m1q1 -1)  q =(2m2q2 -1)  q1 =(2m3q3 -1)  q2 = · · · =(2mtqt-1)  qj =(22n -1)  qt(2-1 ) that is, only when q = qt, there will be: 3q 1 = 3qt 1 = 22n. that is, 3qt =(22n-1). when q ≠ qt, 3q 1 = 2kq (q ≠ 1). therefore, the "first stage" of the mathematical operation process is: 3q 1 = 2m1q1 → 3q1 1 = 2m2 q2 → 3q2 1 = 2m3 q3 → ... → 3qt 1 = 22n. simplify the above form la, that is, at the end of the "first stage" of the mathematical operation process: 3qt 1 = = 22n. afterwards, the "second stage" of the mathematical operation process is: 22n → 22n-1 → 22n-2 → ... → 2 → 1. third, "positive name"-ˋˋ content(geometric fig re) "that s pports cape valley conject re operations the essence of the n mber of meas res prod ced, the n mber is "based on the meas rement standard" q antified ideological things. one of the "feat res" that req ire special attention in the cape valley conject re operation is that the n mber "3" is constant regardless of how other "n mbers" change d ring the operation! from 3 =(2mq -1)  q(1-2), the following(fig re 1) is the "content" that s pports the conversion of the cape valley conject re form. *(fig. 1) is a right-angled abc that is "constr cted" from[3 =(2mq -1)  q(1-2)]. in this right angle abc:∠ b = ∏  2, ∠ c = ∏  3, tg2c = ab2bc2 = 3; bc2 = q, ab2 =(2mq -1). .. * in(fig re 1), the sq are on the three sides of the right angle of the abc is not drawn(omitted). from(fig re 1), it can be seen that tg2c = ab2bc2 = 3 is an "objective existence" and has nothing to do with what n mber the sq are area(ab2) or(bc2) is set(meas red). from(fig re 1), it can be seen that[tg2c = ab2bc2= 3] this "objective existence" determines that(q) and(2mq -1) are m t ally ca sal relationships! that is,(q) and(2mq ) are m t ally ca sal relationships! it can be seen from this:(fig re 1) the right-angled abc shown is the "key"-ˋˋ content "that st dies the digital form conversion of this proposition! fo rth, the "cape valley conject re" is established philosophical principle: the process will not end as long as there is a reason for the process to occ r and contin e; the reason for the process and its contin ation does not exist, and the process ends. now prove it. 3=(2m1q1 -1)  q =(2m2q2 -1)  q1 =(2m3q3 -1)  q2 = · · · =(2mtqt-1)  qj =(22n -1)  qt(2-1 ) is established. obvio sly, as long as the odd-n mbered q ≠ 1 obtained d ring the operation, according to the "cape valley conject re game r les", the operation will not stop. obvio sly, "odd n mber q ≠ 1" is the reason why the "first stage" of the cape valley conject re operation process occ rs and contin es. therefore, in(fig re 1),[tg2c = ab2bc2 =(2mq -1)  q = 3--(a) form. ] it is the initial form of "content" in the "cape valley conject re" operation and the "transition form" in the middle. that is,(a) is a form of "instability." [ in(a), there is a reason why the operation process can contin e: q ≠ 1. ] and[(22n-1)  qt = 3 --(b) form. ],(b) is a form of "stability." (at this point, "q = 1". ( at this time in(a), the reason why "q ≠ 1" makes the operation process s stainable does not exist. ] beca se form(a) and form(b) are the expressions of this content(fig re 1), the ltimate m st be: form(a)[ nstable form] → form(b)[stable form]. since the sq are can be converted into any other geometric fig re thro gh an "eq ivalent transformation"-like p tting water into a container of different shapes, its "q antity" is still nchanged, so the above arg ment is of " niversal significance". therefore, the "cape valley conject re" is established. "traditional research" is a "p re spirit al game," which is separated from the basic facts and makes the basic mathematical problem, the "cape valley conject re," become a "hollow egg." "empty egg", can hatch "chicken"? no one is perfect and mistakes are inevitable, b t f ndamental mistakes can not be made. five,the tr th(essence) of the cape valley conject re(ˋˋ 3n 1 "conject re) from the above st dies, it can be seen that the tr th(essence) of the "cape valley conject re" is: thro gh the "r les of the game" of the cape valley conject re, the sq are area(bc2) in(fig re 1), grad ally became a "meas re"-ˋˋ bc2 = 1 ", the specific process is: bc2 = q → q1 → q2 → q3 → ... → qt → 1. this process is eq ivalent to, after many translations, "lang age 1" → ... → "lang age n". in fact, when the operation is performed to: 3qt 1 = 22n, the entire research process ends. in fact, the name was ret rned, and the cape valley conject re was confirmed. six. the phenomenon in the calc lation of the cape valley conject re(ˋˋ 3n 1 "conject re) obvio sly, when q = qt, 3q 1 = 3qt 1 = 22n. and qt(min) = 1 22 = 5. 3 =(2m1q1 -1)  q =(2m2 q2 -1)  q1 =(2m3 q3 -1)  q2 = =(2mtqt-1)  qj =(22n- 1)  qt(2-1 ) ∴in the calc lation of the cape valley conject re( "3n 1 "conject re), q = qt m st appear. q = qt(min) 2p = 5 2p. (p = -1, 0, 1, 2, 3, ...) in the operation of the cape valley conject re("3n 1 "conject re), it generally appears: 3x5 1 = 24 = 16, and then it is 16 → ... → 1. the calc lation process of the "3n 1" conject re can be nderstood nder normal circ mstances that p in(q = 5 2 p) is a "p → ... → 0" process. " many people think that the relationship between officers and soldiers and between the military and the people is wrong. i always tell them that it is a matter of f ndamental attit de(or f ndamental p rpose). this attit de is respect for soldiers and respect for the people. from this attit de, there are vario s policies, methods, and methods. witho t this attit de, policies, methods and methods m st be wrong, and relations between officers and soldiers and between the army and the people will never be good. the three major principles of the army s political work are: the first is the nity of officers and men, the second is the nity of the army and the people, and the third is the disintegration of the enemy. to be effective, these principles m st be based on a f ndamental attit de of respect for soldiers, respect for the people and respect for the h man dignity of enemy prisoners who have laid down their arms. those who think that it is not a f ndamental attit de problem b t a technical problem are really wrong and sho ld be corrected. "(ˋˋon prolonged war")-the soldiers and the people are the basis for victory. )) the traditional methods of st dying the "goldbach conject re" and the "cape valley conject re" are divorced from objective existence(from the f ndamental tr th of the n mber of meas res prod ced) and from the attit de of respecting objective facts, beca se it is wrong from the f ndamental p rpose. therefore, all the related efforts m st be correspondingly wrong, so the above two basic mathematical problems are definitely not good. (for example, the "goldbach conject re" was officially p blicized on j ne 7, 1742. many people paid "hard work" b t they have not yet been resolved. )) all efforts m st be wrong, and all efforts m st be in vain. those who think that it is not a f ndamental attit de problem b t a technical problem are really wrong and sho ld be corrected. is it wrong abo t the nderlying p rpose? this is an navoidable q estion! beca se the f ndamental p rpose is wrong, the two basic mathematical problems in this article can not be solved at all. as the mathematical masterpiece "what is mathematics" stated in the preface of the first revision: "nowadays, nless st dents and teachers try to transcend the formalism of mathematics and try to grasp the essence of mathematics, they will s ffer setbacks and disill sionment. the danger will be even worse. " leaving the "objective material world" and not trying to s rpass the formalism of mathematics, mathematical research m st be fr strated and m st be disill sioned. this point is partic larly prominent in the st dy of basic mathematical problems. the research history of the "goldbach conject re" is a living commentary. "things" does not change, b t the "meas rement standard" can be ever-changing, and the n mber of "things"(the size and form of the n mber) is th s ever-changing. for example: 18 feet = 9 feet 9 feet, and 6m = 3 m 3 m, reflecting the same thing, b t the size of the n mber is different, and "9" is a composite n mber, and "3" is a prime n mber. how can the change in the n mber of st dies abandon the "thing" and ignore it? how can the change in the n mber of st dies not respect "objective existence"? the n mber has become "empty heart", how to st dy it? the essence of mathematics is the "objective material world" reflected in mathematics. the epistemology is the f ndamental p rpose, and the f ndamental p rpose is wrong. the goldbach conject re and the cape valley conject re have no sol tion. science and h manity are together, and mathematics and philosophy are together. the world is in niversal contact. witho t basic geometry, will there be basic n merical phenomena? we sho ld pay attention to the realm. if the realm of philosophy is not high, it will be diffic lt to solve some problems. the realm will be high, and it will be less diffic lt to solve some problems. it will not even be a problem. " "at dawn amid colored clo ds i left white emperor city,a tho sand miles to chiang ling ,i was in there in a day. "the potential, favorable conditions are also. want to be poor, to a higher level. traditional research methods are like "water witho t a so rce", how can they not dry p? can "verify the conject re with facts and test the form with content? "is the idea wrong? is the baby male or female? the theory is not as good as "naked ass". social commitment , acc m late steadily. introd ction: haipingli grad ated from xi an jiaotong university in 1968, senior engineer(registrar), retired staff. address: no. 1, fengxiang east road, qiongshan district, haiko , hainan, room 401, b ilding 45-b,tianshangrenjiancomm nity zip code: , e-mail::, tel: .