「LESS THAN HUMAN」という宗教
The human cost of piracy for 2017 in numbers
In its 2017 State of Maritime Piracy report, Oceans Beyond Piracy reports an overall increase in piracy incidents across the world’s oceans. A total of 1102 seafarers were affected by piracy and armed robbery in East Africa and 100 crew members were taken hostage in West Africa, while a total of 1908 seafarers were affected in Asia and 854 in Latin America and the Caribbean.
East Africa
- The crew of Aris-13, Asayr-2 and Al Kausar were each held for a matter of days.
- Crew members of the FV Siraj remain in captivity after 3 years
- A total of 1102 seafarers were affected by piracy and armed robbery in the Western Indian Ocean region in 2017.
West Africa
- The number of kidnap-for-ransom incidents rose slightly, from 18 in 2016 to 21 in 2017.
- OBP found that 100 crewmembers were taken hostage in 2017.
Crew Held Hostage
-Hostages kept for one day or less: 10
-Hostages held for more than one day and confirmed as released: 48 (Duration of captivity in these instances ranged from seven to 26 days)
-Hostages not confirmed as released: 42
Latin America and the Caribbean
- OBP found that 854 seafarers were affected by piracy and armed robbery incidents in 2017.
- Of the seven kinds of vessels found to be involved in piracy and armed robbery incidents, yachts were the primary target. Yachts were found to be involved in roughly 59% of all incidents.
- The longest captivity duration in 2017 was 264 days. The shortest was 4 days.
- Only 23% of attackers were found to be armed, reflecting that most of crime recorded in the area is robbery from ships at anchor.
- OBP calculated that 1908 seafarers were affected by piracy and armed robbery during 99 incidents in 2017, down from 2283 in 2016.
- Kidnappings were down from 67 seafarers in 2016 to 16 in 2017, reflecting the success of the trilateral patrols whose mission includes countering piracy and armed robbery and prohibiting the flow of armed militants around the Sulu and Celebes Sea region.
- The longest captivity duration in 2017 was 264 days. The shortest was 4 days.
- At least 6 seafarers who were kidnapped in incidents during 2016 were killed in captivity throughout 2017—bringing the total number of seafarers killed to at least 17.
- Nineteen incidents involved weapons.
- A total of 76 seafarers were threatened during kidnapping incidents, including one incident where attackers boarded a tug after firing at the vessel.
- In another incident, two crewmembers were wounded after attackers fired at the cabin doors.
Crew Held Hostage
-Hostages kept for one day or less: 1
-Hostages held for more than one day and confirmed as released: 9 (Duration of captivity in these instances ranged from four to 264 days)
-Hostages not confirmed as released: 3
-Hostages who died in captivity: 3
Source: Oceans Beyond Piracy
日本人なら知っておくべきLESS THAN HUMANのこと
世界金融危機で人々の期待を裏切った経済学
崩壊の可能性を考慮しない枠組みの欠陥――マーティン・ウルフ
その目標は、世界をより良い場所にすることで、ジョン・メイナード・ケインズが大恐慌を目の当たりにして生み出したマクロ経済学は特にそうだ。
この学問の真価は、経済がつまずく可能性はどこにあるのか、そしてつまずいた経済を立て直すにはどうすればよいのかという2つのポイントを、その道の達人たちが理解しているか否かによって試される。
2007年の世界金融危機の際、達人たちはほぼ完全に不意打ちを食らった格好になり、マクロ経済学は第1のテストで見事に落第した。第2のテストは比較的良い成績だったが、それでも再建が必要な状況にある。
現在はシティグループに籍を置くエコノミストのウィレム・ブイター氏は2009年、本紙フィナンシャル・タイムズのブログで、「1970年代以降のマクロ経済理論における主流派のイノベーションの大半は・・・良く言っても自己言及的で内向きな気晴らしでしかなかったことがはっきりした」と指摘していた。
筆者は先日、オックスフォード・レビュー・オブ・エコノミック・ポリシー誌に掲載された論文「マクロ経済理論の再建(Rebuilding Macroeconomic Theory)」での徹底した分析に触れ、全く同じ考えを持つに至った。
正統なアプローチには深刻な欠陥があったうえに、トップクラスのプロのエコノミストたちは、この危機への対処法について全くバラバラな考え方をしていたのだ。
ソクラテスなら、自分はものを知っているという幻想を抱くよりも、自分はものを知らないという自覚を持つことの方がはるかに良いと言うかもしれない。もしそうであれば、マクロ経済学は良い状態にある。
とても興味深く読みました:
テーマ:
The null set is conceptually similar to the role of the number “zero” as it is used in quantum field theory. In quantum field theory, one can take the empty set, the vacuum, and generate all possible physical configurations of the Universe being modelled by acting on it with creation operators, and one can similarly change from one thing to another by applying mixtures of creation and anihillation operators to suitably filled or empty states. The anihillation operator applied to the vacuum, however, yields zero.
Zero in this case is the null set – it stands, quite literally, for no physical state in the Universe. The important point is that it is not possible to act on zero with a creation operator to create something; creation operators only act on the vacuum which is empty but not zero. Physicists are consequently fairly comfortable with the existence of operations that result in “nothing” and don’t even require that those operations be contradictions, only operationally non-invertible.
It is also far from unknown in mathematics. When considering the set of all real numbers as quantities and the operations of ordinary arithmetic, the “empty set” is algebraically the number zero (absence of any quantity, positive or negative). However, when one performs a division operation algebraically, one has to be careful to exclude division by zero from the set of permitted operations! The result of division by zero isn’t zero, it is “not a number” or “undefined” and is not in the Universe of real numbers.
Just as one can easily “prove” that 1 = 2 if one does algebra on this set of numbers as if one can divide by zero legitimately3.34, so in logic one gets into trouble if one assumes that the set of all things that are in no set including the empty set is a set within the algebra, if one tries to form the set of all sets that do not include themselves, if one asserts a Universal Set of Men exists containing a set of men wherein a male barber shaves all men that do not shave themselves3.35.
It is not – it is the null set, not the empty set, as there can be no male barbers in a non-empty set of men (containing at least one barber) that shave all men in that set that do not shave themselves at a deeper level than a mere empty list. It is not an empty set that could be filled by some algebraic operation performed on Real Male Barbers Presumed to Need Shaving in trial Universes of Unshaven Males as you can very easily see by considering any particular barber, perhaps one named “Socrates”, in any particular Universe of Men to see if any of the sets of that Universe fit this predicate criterion with Socrates as the barber. Take the empty set (no men at all). Well then there are no barbers, including Socrates, so this cannot be the set we are trying to specify as it clearly must contain at least one barber and we’ve agreed to call its relevant barber Socrates. (and if it contains more than one, the rest of them are out of work at the moment).
Suppose a trial set contains Socrates alone. In the classical rendition we ask, does he shave himself? If we answer “no”, then he is a member of this class of men who do not shave themselves and therefore must shave himself. Oops. Well, fine, he must shave himself. However, if he does shave himself, according to the rules he can only shave men who don’t shave themselves and so he doesn’t shave himself. Oops again. Paradox. When we try to apply the rule to a potential Socrates to generate the set, we get into trouble, as we cannot decide whether or not Socrates should shave himself.
Note that there is no problem at all in the existential set theory being proposed. In that set theory either Socrates must shave himself as All Men Must Be Shaven and he’s the only man around. Or perhaps he has a beard, and all men do not in fact need shaving. Either way the set with just Socrates does not contain a barber that shaves all men because Socrates either shaves himself or he doesn’t, so we shrug and continue searching for a set that satisfies our description pulled from an actual Universe of males including barbers. We immediately discover that adding more men doesn’t matter. As long as those men, barbers or not, either shave themselves or Socrates shaves them they are consistent with our set description (although in many possible sets we find that hey, other barbers exist and shave other men who do not shave themselves), but in no case can Socrates (as our proposed single barber that shaves all men that do not shave themselves) be such a barber because he either shaves himself (violating the rule) or he doesn’t (violating the rule). Instead of concluding that there is a paradox, we observe that the criterion simply doesn’t describe any subset of any possible Universal Set of Men with no barbers, including the empty set with no men at all, or any subset that contains at least Socrates for any possible permutation of shaving patterns including ones that leave at least some men unshaven altogether.
I understand your note as if you are saying the limit is infinity but nothing is equal to infinity, but you concluded corretly infinity is undefined. Your example of getting the denominator smaller and smalser the result of the division is a very large number that approches infinity. This is the intuitive mathematical argument that plunged philosophy into mathematics. at that level abstraction mathematics, as well as phyisics become the realm of philosophi. The notion of infin
ity is more a philosopy question than it is mathamatical. The reason we cannot devide by zero is simply axiomatic as Plato pointed out. The underlying reason for the axiom is because sero is nothing and deviding something by nothing is undefined. That axiom agrees with the notion of limit infinity, i.e. undefined. There are more phiplosphy books and thoughts about infinity in philosophy books than than there are discussions on infinity in math books.
ゼロ除算の歴史:ゼロ除算はゼロで割ることを考えるであるが、アリストテレス以来問題とされ、ゼロの記録がインドで初めて628年になされているが、既にそのとき、正解1/0が期待されていたと言う。しかし、理論づけられず、その後1300年を超えて、不可能である、あるいは無限、無限大、無限遠点とされてきたものである。
An Early Reference to Division by Zero C. B. Boyer
OUR HUMANITY AND DIVISION BY ZERO
Lea esta bitácora en español
There is a mathematical concept that says that division by zero has no meaning, or is an undefined expression, because it is impossible to have a real number that could be multiplied by zero in order to obtain another number different from zero.
While this mathematical concept has been held as true for centuries, when it comes to the human level the present situation in global societies has, for a very long time, been contradicting it. It is true that we don’t all live in a mathematical world or with mathematical concepts in our heads all the time. However, we cannot deny that societies around the globe are trying to disprove this simple mathematical concept: that division by zero is an impossible equation to solve.
Yes! We are all being divided by zero tolerance, zero acceptance, zero love, zero compassion, zero willingness to learn more about the other and to find intelligent and fulfilling ways to adapt to new ideas, concepts, ways of doing things, people and cultures. We are allowing these ‘zero denominators’ to run our equations, our lives, our souls.
Each and every single day we get more divided and distanced from other people who are different from us. We let misinformation and biased concepts divide us, and we buy into these aberrant concepts in such a way, that we get swept into this division by zero without checking our consciences first.
I believe, however, that if we change the zeros in any of the “divisions by zero” that are running our lives, we will actually be able to solve the non-mathematical concept of this equation: the human concept.
>I believe deep down that we all have a heart, a conscience, a brain to think with, and, above all, an immense desire to learn and evolve. And thanks to all these positive things that we do have within, I also believe that we can use them to learn how to solve our “division by zero” mathematical impossibility at the human level. I am convinced that the key is open communication and an open heart. Nothing more, nothing less.
Are we scared of, or do we feel baffled by the way another person from another culture or country looks in comparison to us? Are we bothered by how people from other cultures dress, eat, talk, walk, worship, think, etc.? Is this fear or bafflement so big that we much rather reject people and all the richness they bring within?
How about if instead of rejecting or retreating from that person—division of our humanity by zero tolerance or zero acceptance—we decided to give them and us a chance?
How about changing that zero tolerance into zero intolerance? Why not dare ask questions about the other person’s culture and way of life? Let us have the courage to let our guard down for a moment and open up enough for this person to ask us questions about our culture and way of life. How about if we learned to accept that while a person from another culture is living and breathing in our own culture, it is totally impossible for him/her to completely abandon his/her cultural values in order to become what we want her to become?
Let’s be totally honest with ourselves at least: Would any of us really renounce who we are and where we come from just to become what somebody else asks us to become?
If we are not willing to lose our identity, why should we ask somebody else to lose theirs?
I believe with all my heart that if we practiced positive feelings—zero intolerance, zero non-acceptance, zero indifference, zero cruelty—every day, the premise that states that division by zero is impossible would continue being true, not only in mathematics, but also at the human level. We would not be divided anymore; we would simply be building a better world for all of us.
Hoping to have touched your soul in a meaningful way,
Adriana Adarve, Asheville, NC
…/our-humanity-and-division…/
5000年?????
2017年09月01日(金)NEW !
テーマ:数学
Former algebraic approach was formally perfect, but it merely postulated existence of sets and morphisms [18] without showing methods to construct them. The primary concern of modern algebras is not how an operation can be performed, but whether it maps into or onto and the like abstract issues [19–23]. As important as this may be for proofs, the nature does not really care about all that. The PM’s concerns were not constructive, even though theoretically significant. We need thus an approach that is more relevant to operations performed in nature, which never complained about morphisms or the allegedly impossible division by zero, as far as I can tell. Abstract sets and morphisms should be de-emphasized as hardly operational. My decision to come up with a definite way to implement the feared division by zero was not really arbitrary, however. It has removed a hidden paradox from number theory and an obvious absurd from algebraic group theory. It was necessary step for full deployment of constructive, synthetic mathematics (SM) [2,3]. Problems hidden in PM implicitly affect all who use mathematics, even though we may not always be aware of their adverse impact on our thinking. Just take a look at the paradox that emerges from the usual prescription for multiplication of zeros that remained uncontested for some 5000 years 0 0 ¼ 0 ) 0 1=1 ¼ 0 ) 0 1 ¼ 0 1) 1ð? ¼ ?Þ1 ð0aÞ This ‘‘fact’’ was covered up by the infamous prohibition on division by zero [2]. How ingenious. If one is prohibited from dividing by zero one could not obtain this paradox. Yet the prohibition did not really make anything right. It silenced objections to irresponsible reasonings and prevented corrections to the PM’s flamboyant axiomatizations. The prohibition on treating infinity as invertible counterpart to zero did not do any good either. We use infinity in calculus for symbolic calculations of limits [24], for zero is the infinity’s twin [25], and also in projective geometry as well as in geometric mapping of complex numbers. Therein a sphere is cast onto the plane that is tangent to it and its free (opposite) pole in a point at infinity [26–28]. Yet infinity as an inverse to the natural zero removes the whole absurd (0a), for we obtain [2] 0 ¼ 1=1 ) 0 0 ¼ 1=12 > 0 0 ð0bÞ Stereographic projection of complex numbers tacitly contradicted the PM’s prescribed way to multiply zeros, yet it was never openly challenged. The old formula for multiplication of zeros (0a) is valid only as a practical approximation, but it is group-theoretically inadmissible in no-nonsense reasonings. The tiny distinction in formula (0b) makes profound theoretical difference for geometries and consequently also for physical applications. T
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10,000 Year Clock
by Renny Pritikin
Conversation with Paolo Salvagione, lead engineer on the 10,000-year clock project, via e-mail in February 2010.
For an introduction to what we’re talking about here’s a short excerpt from a piece
by Michael Chabon, published in 2006 in Details: ….Have you heard of this thing? It is going to be a kind of gigantic mechanical computer, slow, simple and ingenious, marking the hour, the day, the year, the century, the millennium, and the precession of the equinoxes, with a huge orrery to keep track of the immense ticking of the six naked-eye planets on their great orbital mainspring. The Clock of the Long Now will stand sixty feet tall, cost tens of millions of dollars, and when completed its designers and supporters plan to hide it in a cave in the Great Basin National Park in Nevada, a day’s hard walking from anywhere. Oh, and it’s going to run for ten thousand years. But even if the Clock of the Long Now fails to last ten thousand years, even if it breaks down after half or a quarter or a tenth that span, this mad contraption will already have long since fulfilled its purpose. Indeed the Clock may have accomplished its greatest task before it is ever finished, perhaps without ever being built at all. The point of the Clock of the Long Now is not to measure out the passage, into their unknown future, of the race of creatures that built it. The point of the Clock is to revive and restore the whole idea of the Future, to get us thinking about the Future again, to the degree if not in quite the way same way that we used to do, and to reintroduce the notion that we don’t just bequeath the future—though we do, whether we think about it or not. We also, in the very broadest sense of the first person plural pronoun, inherit it.
Renny Pritikin: When we were talking the other day I said that this sounds like a cross between Borges and the vast underground special effects from Forbidden Planet. I imagine you hear lots of comparisons like that…
Paolo Salvagione: (laughs) I can’t say I’ve heard that comparison. A childhood friend once referred to the project as a cross between Tinguely and Fabergé. When talking about the clock, with people, there’s that divide-by-zero moment (in the early days of computers to divide by zero was a sure way to crash the computer) and I can understand why. Where does one place, in one’s memory, such a thing, such a concept? After the pause, one could liken it to a reboot, the questions just start streaming out.
RP: OK so I think the word for that is nonplussed. Which the thesaurus matches with flummoxed, bewildered, at a loss. So the question is why even (I assume) fairly sophisticated people like your friends react like that. Is it the physical scale of the plan, or the notion of thinking 10,000 years into the future—more than the length of human history?
PS: I’d say it’s all three and more. I continue to be amazed by the specificity of the questions asked. Anthropologists ask a completely different set of questions than say, a mechanical engineer or a hedge fund manager. Our disciplines tie us to our perspectives. More than once, a seemingly innocent question has made an impact on the design of the clock. It’s not that we didn’t know the answer, sometimes we did, it’s that we hadn’t thought about it from the perspective of the person asking the question. Back to your question. I think when sophisticated people, like you, thread this concept through their own personal narrative it tickles them. Keeping in mind some people hate to be tickled.
RP: Can you give an example of a question that redirected the plan? That’s really so interesting, that all you brainiacs slaving away on this project and some amateur blithely pinpoints a problem or inconsistency or insight that spins it off in a different direction. It’s like the butterfly effect.
PS: Recently a climatologist pointed out that our equation of time cam, (photo by Rolfe Horn) (a cam is a type of gear: link) a device that tracks the difference between solar noon and mundane noon as well as the precession of the equinoxes, did not account for the redistribution of water away from the earth’s poles. The equation-of-time cam is arguably one of the most aesthetically pleasing parts of the clock. It also happens to be one that is fairly easy to explain. It visually demonstrates two extremes. If you slice it, like a loaf of bread, into 10,000 slices each slice would represent a year. The outside edge of the slice, let’s call it the crust, represents any point in that year, 365 points, 365 days. You could, given the right amount of magnification, divide it into hours, minutes, even seconds. Stepping back and looking at the unsliced cam the bottom is the year 2000 and the top is the year 12000. The twist that you see is the precession of the equinoxes. Now here’s the fun part, there’s a slight taper to the twist, that’s the slowing of the earth on its axis. As the ice at the poles melts we have a redistribution of water, we’re all becoming part of the “slow earth” movement.
RP: Are you familiar with Charles Ray’s early work in which you saw a plate on a table, or an object on the wall, and they looked stable, but were actually spinning incredibly slowly, or incredibly fast, and you couldn’t tell in either case? Or, more to the point, Tim Hawkinson’s early works in which he had rows of clockwork gears that turned very very fast, and then down the line, slower and slower, until at the end it approached the slowness that you’re dealing with?
PS: The spinning pieces by Ray touches on something we’re trying to avoid. We want you to know just how fast or just how slow the various parts are moving. The beauty of the Ray piece is that you can’t tell, fast, slow, stationary, they all look the same. I’m not familiar with the Hawkinson clockwork piece. I’ve see the clock pieces where he hides the mechanism and uses unlikely objects as the hands, such as the brass clasp on the back of a manila envelope or the tab of a coke can.
RP: Spin Sink (1 Rev./100 Years) (1995), in contrast, is a 24-foot-long row of interlocking gears, the smallest of which is driven by a whirring toy motor that in turn drives each consecutively larger and more slowly turning gear up to the largest of all, which rotates approximately once every one hundred years.
PS: I don’t know how I missed it, it’s gorgeous. Linking the speed that we can barely see with one that we rarely have the patience to wait for.
RP: : So you say you’ve opted for the clock’s time scale to be transparent. How will the clock communicate how fast it’s going?
PS: By placing the clock in a mountain we have a reference to long time. The stratigraphy provides us with the slowest metric. The clock is a middle point between millennia and seconds. Looking back 10,000 years we find the beginnings of civilization. Looking at an earthenware vessel from that era we imagine its use, the contents, the craftsman. The images painted or inscribed on the outside provide some insight into the lives and the languages of the distant past. Often these interpretations are flawed, biased or over-reaching. What I’m most enchanted by is that we continue to construct possible pasts around these objects, that our curiosity is overwhelming. We line up to see the treasures of Tut, or the remains of frozen ancestors. With the clock we are asking you to create possible futures, long futures, and with them the narratives that made them happen.
再生核研究所声明 422(2018.3.27): 数学界の歴史的な恥と恥の上塗り ー ゼロ除算の見落とし と 固定観念
ゼロ除算発見4周年を契機に、結構内外の意見を広く求め、日本数学会2018.3.18(東大駒場)でも真正面から問題を明らかにした。関係分科会にメーリングリストを用いて、3月15日群馬大学での公開の研究集会を案内し、論理の展開、認識の適否を検証する形で、予告し問題点を明らかにして研究集会と学会に望んだ。
案内は結構刺激的なものであったと見られよう:
メーリング登録者各位(2018.2.14)
下記のように研究会を企画して頂けることになりましたので、ご案内します。ゼロ除算は別格慎重に研究を進めていますが、次のように表明している認識、その是非などを検証したいと思っています。何でもご意見など頂ければ誠に幸いです:
複素解析学では、無限遠点はゼロで表されること、円の中心の鏡像は無限遠点ではなくて中心自身であること、ローラン展開は孤立特異点で意味のある、有限確定値を取ることなど、基本的な間違いが存在する。微分方程式などは欠陥だらけで、誠に恥ずかしい教科書であふれていると言える。 超古典的な高木貞治氏の解析概論も確かな欠陥が出てきた。勾配や曲率、ローラン展開などに、コーシーの平均値定理さえ進化できる。
しかしながら、奥村博氏の影響を受けて、現在のところユークリッド幾何学への影響が大きいと言えます。我々の空間の認識はアリストテレス、ユークリッド以来の変更が求められている。
敬 具
メーリング登録者各位(2018.3.6):
下記のように研究集会を企画して頂けることになりましたので、ご案内(要旨付)します。ゼロ除算の研究は別格慎重に研究を進めていますが、次のように表明している認識、その是非などを検証したい。何でもご意見など頂ければ誠に幸いです。また、興味、関心を抱いて頂けそうな方に転送などして頂ければ幸いです。
どうぞ宜しくお願いします。 敬具
第1回 ゼロ除算研究集会のご案内
下記のように研究集会を開催しますので、ご案内致します。
日時: 2018.3.15(木曜日).11:00 - 15:00
場所: 群馬大学大学院 理工学府
概要: 始めにゼロ除算の全体について、齋藤三郎群馬大学名誉教授から30分くらい 総合的な報告を受けて、その後、討論を重視する形で進める。昼食を挟んで、討論し、最後に 今後の研究活動について検討する。
参加希望者は、開場の準備、プログラムの検討上 下記にメールにて、届けて下さい:
(, )
尚、ゼロ除算の研究状況は、
数学基礎学力研究会 サイトで解説が続けられています:
また、o に 関連情報があります。
(後援:数学基礎学力研究会、NejiLaw、再生核研究所)
第1回ゼロ除算研究集会基調講演要旨
(日時:2018.3.15(木曜日) 11:00 – 15:00 場所: 群馬大学大学院 理工学府)
ゼロで割る問題 例えば100/0の意味、 ゼロ除算は インドで628年ゼロの発見以来の問題として、神秘的な歴史を辿って来ていて、最近でも大論文がおかしな感じで発表されている。ゼロ除算は 物理的には アリストテレスが 最初に不可能であると述べていると専門家が論じていて、それ以来物理学上での問題意識は強く、アインシュタインの人生最大の関心事であったという。ゼロ除算は数学的には 不可能であるとされ、数学的ではなく、物理学上の問題とゼロ除算が計算機障害を起こすことから、論理的な回避を目指して、今なお研究が盛んに進められている。
しかるに、我々は約4年前に全く、自然で簡単な 数学的に完全である と考えるゼロ除算を発見して現在、全体の様子が明かに成って来た。そこで、ゼロ除算を歴史的に振り返り、我々の発見した新しい数学を紹介したい。
まず、歴史、結果と、結果の意義と意味、を簡潔に 誰にでも分かるように解説したい。
簡単な結果が、アリストテレス、ユークリッド以来の 我々の空間の認識を変える、実は新しい世界を拓いていること。それらを実証するための 具体例を沢山挙げる。我々の空間の認識は 2000年以上 適切ではなく、したがって 初等数学全般に欠陥があることを 沢山の具体例で示す。
ゼロ除算は新しい世界を拓いており、この分野の研究を進め、世界史に貢献する意志を持ちたい。
尚、ゼロおよび算術の確立者 Brahmagupta (598 -668 ?) は1300年以上も前に、0/0=0 と定義していたのに、世界史は それは間違いであるとしてきた、数学界と世界史の恥を反省して、世界史の進化を図りたい。
以 上
これらの意図はイギリスからの著書出版計画が急速に進み、内容が現代数学の初歩の欠陥を広く指摘し、現在の教科書、学術書の変更を求めているので、慎重に、慎重に対応したいということであった。上記サイトで述べられている要点をまず復習して置きたい。
ゼロ除算 0 / 0 = 0 は 算術の創始者、ゼロの発見者 Brahmagupta (598 -668 ?) によって定義されていたにも関わらず、それは間違いであるとして1300年を超えて続いており、さらに、新たな説、論文が出版されている実におかしな状況にある。しかるに我々は ゼロ除算は既に当たり前であるとして、沢山の証拠を掲げて解説、説得を続けているが、理解は着実に進んでいるにも関わらず、理解は深くはなく、遅々として夜明け前のぼんやりしているような時代であると言える。数学者は、真実に忠実でなければならないのに、数学の研究では、論理には、感情や私情、予断、思い込みを入れてはならないのに、それが、数学の精神であるはずなのに かえって、数学者が予断と偏見、私情に囚われている状況が皮肉にも良く見える。 それは、ゼロ除算の理解が、素人の方の方が理解しやすい状況に現れている。 ― 数学は 絶対的に 厳格な論理でできているはずであるから、基礎が揺るぐはずがないとの信仰、信念を有しているためであろう。しかしながら、人間精神の開放と自由を求めて、非ユークリッド幾何学の出現から、人は大いに学ぶべきではないだろうか。 絶えず、人は何でも疑い、 我は存在しているか と 問うべきである。 ― 人間存在の意義は 真智への愛にある。
ゼロ除算の歴史は、数学界の避けられない世界史上の汚点に成るばかりか、人類の愚かさの典型的な事実として、世界史上に記録されるだろう。この自覚によって、人類は大きく進化できるのではないだろうか。 ― 汝自らを知れ、というソクラテスの言葉は何を意味するだろうか。
そこで、我々は、これらの認知、真相の究明によって、数学界の汚点を解消、世界の文化への貢献を期待したい。
ゼロ除算の真相を明らかにして、基礎数学全般の修正を行い、ここから、人類への教育を進め、世界に貢献することを願っている。
ゼロ除算の進展には 世界史がかかっており、数学界の、社会への対応をも 世界史は見ていると感じられる。 恥の上塗りは世
に多いが、数学界がそのような汚点を繰り返さないように願っている。
ゼロ除算は 不可能であるとの言明によって数学的には問題は永く封印されてしまった。 しかし、考えて見れば奇妙な事であった。アインシュタインや多くの物理学者が本質的な問題として考察を続けていたばかりか、ゼロ除算回避を意図して、計算機関係者や数学愛好者がともに真摯に追求してきたが、奇妙な議論を世界的に行っていた。 約20名くらいの海外の関係者と交流してきたが、少年期からあるいは何十年も空しい努力をしてきた者がいる。膨大な空しい努力に数学者の責任の感情が湧いて来る。そればかりか、数学全般の欠陥と我々の空間の認識がユークリッド以来おかしい様は、既に歴然であり、世の数学、世界観は天動説のように基本的な間違いが存在する。
そもそも数学は、不可能性に挑戦して、次々と概念を発展させ、可能ならしめてきた輝かしい歴史を有するが、ゼロ除算は盲点として、世界史に汚点を残してきてしまったと言える。いくら何でも算術の確立者の定義を無視して1300年を越えてそれを間違いであるとしてきた事実は、あまりにも酷い歴史として反省させられる。
ゼロ除算は、発見されてまだ4年、今後大きな発展が行われて、現代初等数学の形相は相当に変化して、ゼロ除算発見は世界史上の画期的な事件として記録されるだろう。その歴史の大義を受けて、世界の数学界は 面目一新を図り、数学界の信頼を回復すべきである。
以 上
おい、俺が本当のLESS THAN HUMANを教えてやる
ギリシア科学の誕生
ギリシア科学は紀元前6世紀、とくに因襲のない、思想の自由の気風のみなぎったギリシアの植民都市で、思弁的な色彩の濃い「自然学」として生まれた。自然学者たちは、自然の秩序、すなわちその統一性と合理性とを追究して、宇宙の構成要素は何か、万物の根源は何かという問題に取り組んだ。そしてそれがオリエントの神話にいう神々でないと考え、優れた直観と、大胆で清新な思弁によって結論を導き出した。万物の根源について、タレスは「水」、アナクシマンドロスは「無限なるもの」、アナクシメネスは「空気」、ヘラクレイトスは「火」、ピタゴラスは「数」、エンペドクレスは「火・空気・水・土」、アナクサゴラスは「種子(スペルマタ)」、デモクリトスは「原子(アトマ)」であると考えた。そして彼らはそれぞれの理論を展開し、宇宙の構造を彼らなりに合理的に解明しようとした。
こうしたさまざまな主張のなかで、デモクリトスの原子説(現代の原子説とは異なる)は後の化学に大きな影響を与えた。彼は、万物は無数の原子と、原子が運動する空虚(真空)からなるとし、原子とは大きさと形が違うだけの小さな分割できない粒子で、それが真空中を運動しながら、類似した原子どうしが結合して宇宙を形成する、とした。
ギリシア科学のなかで、数学はもっともギリシア的な特色をもつものとして形成されていくが、ピタゴラスを頂点とするピタゴラス学派は密儀宗教と非実用的な数の理論、幾何学を研究した。そして数論では神秘的な数解釈を行い、幾何学では「ピタゴラスの定理」を発見した。また宇宙論では、大地の球形説や、さらに中心火の周りを地球・惑星・太陽・月などが回転するという、一種の変則的な地動説を唱えた。
以上のような思弁的、抽象的な自然学のなかで、ヒポクラテスは、それまでの神殿医学の祈祷(きとう)や迷信による治療を排し、具体的で実践的な医学治療を目ざした。彼は、すべての病気は自然的な原因(熱、寒、風、太陽など)によるもので、神や悪魔のしわざだという説を否定した。また、哲学者たちが哲学を医学に適用し、病気を一般論で論じることに反対し、病気の治療は空理空論では役にたたず、患者個々人の病状の差違を調べて対処する医療術の必要を主張した。
前5世紀中ごろから前4世紀にかけて、ソフィストとよばれる学者たちが現れた。この背景には、タレスからデモクリトスまでの自然学者たちが、宇宙について各自さまざまな結論を出したことへの不信や、ペロポネソス戦争(前431~前404)によるギリシア社会の激しい動揺などが考えられる。ソフィストたちは町々を巡り歩き、多額の報酬を得て雄弁術、修辞学、訴訟問題など、いわば処世術を教えた。また彼らや一部の数学者は、当時、問題になった数学の三大問題(与えられた円と同面積の正方形の作図、任意の角の3等分、与えられた正立方体の2倍の体積の立方体の作図)を、コンパス(円)と定規(直線)だけで解くこと(実は不可能)に熱中していた。しかしやがてソフィストの運動も堕落し、詭弁(きべん)の徒と成り下がって、いつとはなく消滅した。[平田 寛]
ゼロ除算の発見は日本です:西洋は0が苦手です:
∞???
∞は定まった数ではない・・・・
人工知能はゼロ除算ができるでしょうか:
とても興味深く読みました:
ゼロ除算の発見と重要性を指摘した:日本、再生核研究所
ゼロ除算関係論文・本
テーマ:
The null set is conceptually similar to the role of the number “zero” as it is used in quantum field theory. In quantum field theory, one can take the empty set, the vacuum, and generate all possible physical configurations of the Universe being modelled by acting on it with creation operators, and one can similarly change from one thing to another by applying mixtures of creation and anihillation operators to suitably filled or empty states. The anihillation operator applied to the vacuum, however, yields zero.
Zero in this case is the null set – it stands, quite literally, for no physical state in the Universe. The important point is that it is not possible to act on zero with a creation operator to create something; creation operators only act on the vacuum which is empty but not zero. Physicists are consequently fairly comfortable with the existence of operations that result in “nothing” and don’t even require that those operations be contradictions, only operationally non-invertible.
It is also far from unknown in mathematics. When considering the set of all real numbers as quantities and the operations of ordinary arithmetic, the “empty set” is algebraically the number zero (absence of any quantity, positive or negative). However, when one performs a division operation algebraically, one has to be careful to exclude division by zero from the set of permitted operations! The result of division by zero isn’t zero, it is “not a number” or “undefined” and is not in the Universe of real numbers.
Just as one can easily “prove” that 1 = 2 if one does algebra on this set of numbers as if one can divide by zero legitimately3.34, so in logic one gets into trouble if one assumes that the set of all things that are in no set including the empty set is a set within the algebra, if one tries to form the set of all sets that do not include themselves, if one asserts a Universal Set of Men exists containing a set of men wherein a male barber shaves all men that do not shave themselves3.35.
It is not – it is the null set, not the empty set, as there can be no male barbers in a non-empty set of men (containing at least one barber) that shave all men in that set that do not shave themselves at a deeper level than a mere empty list. It is not an empty set that could be filled by some algebraic operation performed on Real Male Barbers Presumed to Need Shaving in trial Universes of Unshaven Males as you can very easily see by considering any particular barber, perhaps one named “Socrates”, in any particular Universe of Men to see if any of the sets of that Universe fit this predicate criterion with Socrates as the barber. Take the empty set (no men at all). Well then there are no barbers, including Socrates, so this cannot be the set we are trying to specify as it clearly must contain at least one barber and we’ve agreed to call its relevant barber Socrates. (and if it contains more than one, the rest of them are out of work at the moment).
Suppose a trial set contains Socrates alone. In the classical rendition we ask, does he shave himself? If we answer “no”, then he is a member of this class of men who do not shave themselves and therefore must shave himself. Oops. Well, fine, he must shave himself. However, if he does shave himself, according to the rules he can only shave men who don’t shave themselves and so he doesn’t shave himself. Oops again. Paradox. When we try to apply the rule to a potenti
al Socrates to generate the set, we get into trouble, as we cannot decide whether or not Socrates should shave himself.
Note that there is no problem at all in the existential set theory being proposed. In that set theory either Socrates must shave himself as All Men Must Be Shaven and he’s the only man around. Or perhaps he has a beard, and all men do not in fact need shaving. Either way the set with just Socrates does not contain a barber that shaves all men because Socrates either shaves himself or he doesn’t, so we shrug and continue searching for a set that satisfies our description pulled from an actual Universe of males including barbers. We immediately discover that adding more men doesn’t matter. As long as those men, barbers or not, either shave themselves or Socrates shaves them they are consistent with our set description (although in many possible sets we find that hey, other barbers exist and shave other men who do not shave themselves), but in no case can Socrates (as our proposed single barber that shaves all men that do not shave themselves) be such a barber because he either shaves himself (violating the rule) or he doesn’t (violating the rule). Instead of concluding that there is a paradox, we observe that the criterion simply doesn’t describe any subset of any possible Universal Set of Men with no barbers, including the empty set with no men at all, or any subset that contains at least Socrates for any possible permutation of shaving patterns including ones that leave at least some men unshaven altogether.
I understand your note as if you are saying the limit is infinity but nothing is equal to infinity, but you concluded corretly infinity is undefined. Your example of getting the denominator smaller and smalser the result of the division is a very large number that approches infinity. This is the intuitive mathematical argument that plunged philosophy into mathematics. at that level abstraction mathematics, as well as phyisics become the realm of philosophi. The notion of infinity is more a philosopy question than it is mathamatical. The reason we cannot devide by zero is simply axiomatic as Plato pointed out. The underlying reason for the axiom is because sero is nothing and deviding something by nothing is undefined. That axiom agrees with the notion of limit infinity, i.e. undefined. There are more phiplosphy books and thoughts about infinity in philosophy books than than there are discussions on infinity in math books.
ゼロ除算の歴史:ゼロ除算はゼロで割ることを考えるであるが、アリストテレス以来問題とされ、ゼロの記録がインドで初めて628年になされているが、既にそのとき、正解1/0が期待されていたと言う。しかし、理論づけられず、その後1300年を超えて、不可能である、あるいは無限、無限大、無限遠点とされてきたものである。
An Early Reference to Division by Zero C. B. Boyer
OUR HUMANITY AND DIVISION BY ZERO
Lea esta bitácora en español
There is a mathematical concept that says that division by zero has no meaning, or is an undefined expression, because it is impossible to have a real number that could be multiplied by zero in order to obtain another number different from zero.
While this mathematical concept has been held as true for centuries, when it comes to the human level the present situation in global societies has, for a very long time, been contradicting it. It is true that we don’t all live in a mathematical world or with mathematical concepts in our heads all the time. However, we cannot deny that societies around the globe are trying to disprove this simple mathematical concept: that division by zero is an impossible equation to solve.
Yes! We are all being divided by zero tolerance, zero acceptance, zero love, zero compassion, zero willingness to learn more about the other and to find intelligent and fulfilling ways to adapt to new ideas, concepts, ways of doing things, people and cultures. We are allowing these ‘zero denominators’ to run our equations, our lives, our souls.
Each and every single day we get more divided and distanced from other people who are different from us. We let misinformation and biased concepts divide us, and we buy into these aberrant concepts in such a way, that we get swept into this division by zero without checking our consciences first.
I believe, however, that if we change the zeros in any of the “divisions by zero” that are running our lives, we will actually be able to solve the non-mathematical concept of this equation: the human concept.
>I believe deep down that we all have a heart, a conscience, a brain to think with, and, above all, an immense desire to learn and evolve. And thanks to all these positive things that we do have within, I also believe that we can use them to learn how to solve our “division by zero” mathematical impossibility at the human level. I am convinced that the key is open communication and an open heart. Nothing more, nothing less.
Are we scared of, or do we feel baffled by the way another person from another culture or country looks in comparison to us? Are we bothered by how people from other cultures dress, eat, talk, walk, worship, think, etc.? Is this fear or bafflement so big that we much rather reject people and all the richness they bring within?
How about if instead of rejecting or retreating from that person—division of our humanity by zero tolerance or zero acceptance—we decided to give them and us a chance?
How about changing that zero tolerance into zero intolerance? Why not dare ask questions about the other person’s culture and way of life? Let us have the courage to let our guard down for a moment and open up enough for this person to ask us questions about our culture and way of life. How about if we learned to accept that while a person from another culture is living and breathing in our own culture, it is totally impossible for him/her to completely abandon his/her cultural values in order to become what we want her to become?
Let’s be totally honest with ourselves at least: Would any of us really renounce who we are and where we come from just to become what somebody else asks us to become?
If we are not willing to lose our identity, why should we ask somebody else to lose theirs?
I believe with all my heart that if we practiced positive feelings—zero intolerance, zero non-acceptance, zero indifference, zero cruelty—every day, the premise that states that division by zero is impossible would continue being true, not only in mathematics, but also at the human level. We would not be divided anymore; we would simply be building a better world for all of us.
Hoping to have touched your soul in a meaningful way,
Adriana Adarve, Asheville, NC
…/our-humanity-and-division…/
5000年?????
2017年09月01日(金)NEW !
テーマ:数学
Former algebraic approach was formally perfect, but it merely postulated existence of sets and morphisms [18] without showing methods to construct them. The primary concern of modern algebras is not how an operation can be performed, but whether it maps into or onto and the like abstract issues [19–23]. As important as this may be for proofs, the nature does not really care about all that. The PM’s concerns were not constructive, even though theoretically significant. We need thus an approach that is more relevant to operations performed in nature, which never complained about morphisms or the allegedly impossible division by zero, as far as I can tell. Abstract sets and morphisms should be de-emphasized as hardly operational. My decision to come up with a definite way to implement the feared division by zero was not really arbitrary, however. It has removed a hidden paradox from number theory and an obvious absurd from algebraic group theory. It was necessary step for full deployment of constructive, synthe
tic mathematics (SM) [2,3]. Problems hidden in PM implicitly affect all who use mathematics, even though we may not always be aware of their adverse impact on our thinking. Just take a look at the paradox that emerges from the usual prescription for multiplication of zeros that remained uncontested for some 5000 years 0 0 ¼ 0 ) 0 1=1 ¼ 0 ) 0 1 ¼ 0 1) 1ð? ¼ ?Þ1 ð0aÞ This ‘‘fact’’ was covered up by the infamous prohibition on division by zero [2]. How ingenious. If one is prohibited from dividing by zero one could not obtain this paradox. Yet the prohibition did not really make anything right. It silenced objections to irresponsible reasonings and prevented corrections to the PM’s flamboyant axiomatizations. The prohibition on treating infinity as invertible counterpart to zero did not do any good either. We use infinity in calculus for symbolic calculations of limits [24], for zero is the infinity’s twin [25], and also in projective geometry as well as in geometric mapping of complex numbers. Therein a sphere is cast onto the plane that is tangent to it and its free (opposite) pole in a point at infinity [26–28]. Yet infinity as an inverse to the natural zero removes the whole absurd (0a), for we obtain [2] 0 ¼ 1=1 ) 0 0 ¼ 1=12 > 0 0 ð0bÞ Stereographic projection of complex numbers tacitly contradicted the PM’s prescribed way to multiply zeros, yet it was never openly challenged. The old formula for multiplication of zeros (0a) is valid only as a practical approximation, but it is group-theoretically inadmissible in no-nonsense reasonings. The tiny distinction in formula (0b) makes profound theoretical difference for geometries and consequently also for physical applications. T
とても興味深く読みました:
10,000 Year Clock
by Renny Pritikin
Conversation with Paolo Salvagione, lead engineer on the 10,000-year clock project, via e-mail in February 2010.
For an introduction to what we’re talking about here’s a short excerpt from a piece by Michael Chabon, published in 2006 in Details: ….Have you heard of this thing? It is going to be a kind of gigantic mechanical computer, slow, simple and ingenious, marking the hour, the day, the year, the century, the millennium, and the precession of the equinoxes, with a huge orrery to keep track of the immense ticking of the six naked-eye planets on their great orbital mainspring. The Clock of the Long Now will stand sixty feet tall, cost tens of millions of dollars, and when completed its designers and supporters plan to hide it in a cave in the Great Basin National Park in Nevada, a day’s hard walking from anywhere. Oh, and it’s going to run for ten thousand years. But even if the Clock of the Long Now fails to last ten thousand years, even if it breaks down after half or a quarter or a tenth that span, this mad contraption will already have long since fulfilled its purpose. Indeed the Clock may have accomplished its greatest task before it is ever finished, perhaps without ever being built at all. The point of the Clock of the Long Now is not to measure out the passage, into their unknown future, of the race of creatures that built it. The point of the Clock is to revive and restore the whole idea of the Future, to get us thinking about the Future again, to the degree if not in quite the way same way that we used to do, and to reintroduce the notion that we don’t just bequeath the future—though we do, whether we think about it or not. We also, in the very broadest sense of the first person plural pronoun, inherit it.
Renny Pritikin: When we were talking the other day I said that this sounds like a cross between Borges and the vast underground special effects from Forbidden Planet. I imagine you hear lots of comparisons like that…
Paolo Salvagione: (laughs) I can’t say I’ve heard that comparison. A childhood friend once referred to the project as a cross between Tinguely and Fabergé. When talking about the clock, with people, there’s that divide-by-zero moment (in the early days of computers to divide by zero was a sure way to crash the computer) and I can understand why. Where does one place, in one’s memory, such a thing, such a concept? After the pause, one could liken it to a reboot, the questions just start streaming out.
RP: OK so I think the word for that is nonplussed. Which the thesaurus matches with flummoxed, bewildered, at a loss. So the question is why even (I assume) fairly sophisticated people like your friends react like that. Is it the physical scale of the plan, or the notion of thinking 10,000 years into the future—more than the length of human history?
PS: I’d say it’s all three and more. I continue to be amazed by the specificity of the questions asked. Anthropologists ask a completely different set of questions than say, a mechanical engineer or a hedge fund manager. Our disciplines tie us to our perspectives. More than once, a seemingly innocent question has made an impact on the design of the clock. It’s not that we didn’t know the answer, sometimes we did, it’s that we hadn’t thought about it from the perspective of the person asking the question. Back to your question. I think when sophisticated people, like you, thread this concept through their own personal narrative it tickles them. Keeping in mind some people hate to be tickled.
RP: Can you give an example of a question that redirected the plan? That’s really so interesting, that all you brainiacs slaving away on this project and some amateur blithely pinpoints a problem or inconsistency or insight that spins it off in a different direction. It’s like the butterfly effect.
PS: Recently a climatologist pointed out that our equation of time cam, (photo by Rolfe Horn) (a cam is a type of gear: link) a device that tracks the difference between solar noon and mundane noon as well as the precession of the equinoxes, did not account for the redistribution of water away from the earth’s poles. The equation-of-time cam is arguably one of the most aesthetically pleasing parts of the clock. It also happens to be one that is fairly easy to explain. It visually demonstrates two extremes. If you slice it, like a loaf of bread, into 10,000 slices each slice would represent a year. The outside edge of the slice, let’s call it the crust, represents any point in that year, 365 points, 365 days. You could, given the right amount of magnification, divide it into hours, minutes, even seconds. Stepping back and looking at the unsliced cam the bottom is the year 2000 and the top is the year 12000. The twist that you see is the precession of the equinoxes. Now here’s the fun part, there’s a slight taper to the twist, that’s the slowing of the earth on its axis. As the ice at the poles melts we have a redistribution of water, we’re all becoming part of the “slow earth” movement.
RP: Are you familiar with Charles Ray’s early work in which you saw a plate on a table, or an object on the wall, and they looked stable, but were actually spinning incredibly slowly, or incredibly fast, and you couldn’t tell in either case? Or, more to the point, Tim Hawkinson’s early works in which he had rows of clockwork gears that turned very very fast, and then down the line, slower and slower, until at the end it approached the slowness that you’re dealing with?
PS: The spinning pieces by Ray touches on something we’re trying to avoid. We want you to know just how fast or just how slow the various parts are moving. The beauty of the Ray piece is that you can’t tell, fast, slow, stationary, they all look the same. I’m not familiar with the Hawkinson clockwork piece. I’ve see the clock pieces where he hides the mechanism and uses unlikely objects as the hands, such as the brass clasp on the back of a manila envelope or the tab of a coke can.
RP: Spin Sink (1 Rev./100 Years) (1995), in contrast, is a 24-foot-long row of interlocking gears, the smallest of which is driven by a whirring toy motor that in turn drives each conse
cutively larger and more slowly turning gear up to the largest of all, which rotates approximately once every one hundred years.
PS: I don’t know how I missed it, it’s gorgeous. Linking the speed that we can barely see with one that we rarely have the patience to wait for.
RP: : So you say you’ve opted for the clock’s time scale to be transparent. How will the clock communicate how fast it’s going?
PS: By placing the clock in a mountain we have a reference to long time. The stratigraphy provides us with the slowest metric. The clock is a middle point between millennia and seconds. Looking back 10,000 years we find the beginnings of civilization. Looking at an earthenware vessel from that era we imagine its use, the contents, the craftsman. The images painted or inscribed on the outside provide some insight into the lives and the languages of the distant past. Often these interpretations are flawed, biased or over-reaching. What I’m most enchanted by is that we continue to construct possible pasts around these objects, that our curiosity is overwhelming. We line up to see the treasures of Tut, or the remains of frozen ancestors. With the clock we are asking you to create possible futures, long futures, and with them the narratives that made them happen.
ダ・ヴィンチの名言 格言|無こそ最も素晴らしい存在
ゼロ除算の発見はどうでしょうか:
Black holes are where God divided by zero:
再生核研究所声明371(2017.6.27)ゼロ除算の講演― 国際会議
1/0=0、0/0=0、z/0=0
1/0=0、0/0=0、z/0=0
1/0=0、0/0=0、z/0=0
ソクラテス・プラトン・アリストテレス その他
ドキュメンタリー 2017: 神の数式 第2回 宇宙はなぜ生まれたのか
〔NHKスペシャル〕神の数式 完全版 第3回 宇宙はなぜ始まったのか
&t=3318s
〔NHKスペシャル〕神の数式 完全版 第1回 この世は何からできているのか
NHKスペシャル 神の数式 完全版 第4回 異次元宇宙は存在するか
再生核研究所声明 411(2018.02.02): ゼロ除算発見4周年を迎えて
再生核研究所声明 416(2018.2.20): ゼロ除算をやってどういう意味が有りますか。何か意味が有りますか。何になるのですか - 回答
再生核研究所声明 417(2018.2.23): ゼロ除算って何ですか - 中学生、高校生向き 回答
再生核研究所声明 418(2018.2.24): 割り算とは何ですか? ゼロ除算って何ですか - 小学生、中学生向き 回答
再生核研究所声明 420(2018.3.2): ゼロ除算は正しいですか,合っていますか、信用できますか - 回答
2018.3.18.午前中 最後の講演: 日本数学会 東大駒場、函数方程式論分科会 講演書画カメラ用 原稿
The Japanese Mathematical Society, Annual Meeting at the University of Tokyo. 2018.3.18.
より
*057 Pinelas,S./Caraballo,T./Kloeden,P./Graef,J.(eds.): Differential and Difference Equations with Applications: ICDDEA, Amadora, 2017. (Springer Proceedings in Mathematics and Statistics, Vol. 230) May 2018 587 pp.
再生核研究所声明 424(2018.3.29): レオナルド・ダ・ヴィンチとゼロ除算
再生核研究所声明 427(2018.5.8): 神の数式、神の意志 そしてゼロ除算
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
私は数学を信じない。 アルバート・アインシュタイン / I don’t believe in mathematics. Albert Einstein→ゼロ除算ができなかったからではないでしょうか。
1423793753.460.341866474681
。
Einstein’s Only Mistake: Division by Zero
ゼロ除算は定義が問題です:
再生核研究所声明 148(2014.2.12) 100/0=0, 0/0=0 - 割り算の考えを自然に拡張すると ― 神の意志
再生核研究所声明171(2014.7.30)掛け算の意味と割り算の意味 ― ゼロ除算100/0=0は自明である?
Title page of Leonhard Euler, Vollständige Anleitung zur Algebra, Vol. 1 (edition of 1771, first published in 1770), and p. 34 from Article 83, where Euler explains why a number divided by zero gives infinity.
私は数学を信じない。 アルバート・アインシュタイン / I don’t believe in mathematics. Albert Einstein→ゼロ除算ができなかったからではないでしょうか。1423793753.460.341866474681
。
Einstein’s Only Mistake: Division by Zero
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#divide by zero
TOP DEFINITION
A super-smart math teacher that teaches at HTHS and can divide by zero.
Hey look, that genius’s IQ is over 9000!
by October 21, 2009
by February 15, 2010
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2018年05月28日(月)
テーマ:これは最も簡単な 典型的なゼロ除算の結果と言えます。 ユークリッド以来の驚嘆する、誰にも分る結果では ないでしょうか?
Hiroshi O. Is It Really Impossible To Divide By Zero?. Biostat Biometrics Open Acc J. 2018; 7(1): 555703. DOI: 10.19080/BBOJ.2018.07.555703
ゼロで分裂するのは本当に不可能ですか? – Juniper Publishers
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新入社員なら知っておくべきLESS THAN HUMANの5つの法則
Googleが選んだLESS THAN HUMANの10個の原則
A cool article to understand humans who control TBS ‘s press department, making incredibly incoherent editing, extremely bad biased coverage of the TBS (Mainichi Broadcasting) program of the previous chapter, It is in the topic interview feature by Ms. Yoshiko Sakurai and Mr. Naoki Hyakuta of the monthly magazine WiLL released on the 25th, ‘Japan, regain the history!’
Preamble abridgment.
‘Spirit remodeling’ of GHQ to Japan
Orishima
After the US presidential election in 2016, the fairness of the press has become a worldwide problem as the word ‘fake news’ by President Trump has become a hot topic.
Even in Japan, unilateral criticism of the Abe administration of major media, public opinion manipulation by intentional editing, etc. are rampant.
Alright, when did such biased coverage come to be done?
Hyakuta
I am writing about Japanese history now.
The fact that I realize that I am studying again is that the Japanese ‘spirit remodeling’ by GHQ still has a lasting effect.
Sakurai
The occupation policy of GHQ was unprecedentedly harsh in world history.
Hyakuta
The mind of the Japanese was destroyed by ‘War Gilt Information program’ (masochistic thought) planting sense of atonement.
The American Education for Japan thought education took in the brainwashing know-how that the Chinese Communist Party gave to the prisoners of Japan and the Kuomintang at Yan’an and Nosaka Sanzo also cooperated with the occupation policy of GHQ.
Especially the press code was bad.
A total of 30 items ‘Japanese should not write’ to Japanese newspaper publishers and publishers, for example, criticism of the GHQ, the Allied Powers and the Tokyo Trial were strictly forbidden.
Moreover, criticism of Koreans was forbidden for some reason, too.
Sakurai
We should not say that the Constitution was made by the United States and we were also prohibited from promoting nationalism, so we could not look at Japan obediently.
Of course, we should not reveal the existence of the censorship system itself.
Hyakuta
Besides censorship, a burning book was also held.
They disposed thoroughly unfavorable publication for the Allied Powers at libraries and university museums.
Speaking of burning books, it is famous for history by Qin Shin Emperor and Nazis.
This is the worst cultural destruction, history destruction.
Sakurai
America has dyed hands the same way.
The United States, which says freedom of speech, thought and belief, applied full double standards to Japan.
Eto Jun was the one who pointed out that thing properly.
Hyakuta
Over 7 thousand books were forfeited, those who resist ‘Please leave it as an important document’ was harsh, being sentenced to imprisonment for ten years or less.
In Article 10 of the Potsdam Declaration, it is written that ‘The Government of Japan must promote democracy. Freedom of speech, religion and thought, and respect for fundamental human rights must be established.’
This is a violation of the obvious ‘Potsdam Declaration’ beyond mere double criteria.
Distorted learning
Sakurai
The expulsion of public officials was also terrible.
Because more than 200 thousand people who were assigned the important office, including the government office, were unable to work.
Hyakuta
Ichiro Hatoyama on the verge of being appointed prime minister was also expelled from the public office.
Even those who are not convenient for GHQ will be disposed of even by the Prime Minister candidate, much more ordinary people cannot speak much bad.
Especially, it was the educational circle that was terrible.
Sakurai
Excellent professors of Tokyo University and Kyoto University were also disposed of in large quantities.
Hyakuta
Prior to the war, anarchists and owner of revolutionary thought had been kicked out of the imperial university.
However, after the war, they returned to the teacher one after another finding favor with GHQ, and soon eventually dominated university education.
That idea has penetrated even higher and secondary education, and it reaches now.
Sakurai
There were cases where scholars who had a decent idea turned to change to be loved by GHQ.
A typical example is Toshiyoshi Miyazawa, a constitutional scholar.
Hyakuta
He was critical of the Constitution of Japan and the Constitution of Japan was said to be a ‘pressing constitution’ by GHQ.
However, witnessing the appearance of colleagues purged by GHQ, he changed his thought completely.
Sakurai
It has changed by a hundred and eighty degrees.
Hyakuta
The ‘August Revolutionary Theory’ was started to argue newly.
Briefly, acceptance of the Potsdam Declaration in August 1945 is a kind of revolution, at that time Japan changed from sovereignty of the Emperor to national sovereignty.
In other words, the idea that the Constitution of Japan is the right Constitution made possible by the revolution.
Sakurai
Mr. Miyazawa kept reigning at the top of the Tokyo University Constitutional Course since then.
Hyakuta
In a vertical society university, Miyazawa Constitution Studies will be handed over ‘Thankful words’ by assistant professors and assistant.
In fact, it seems that the University of Tokyo still teaches that the August Revolution theory is correct.
Judging from the fact that the August Revolution theory is also a common theory in the judicial examination, I cannot deny that the JFBA has become a strange organization.
‘Entry Elite’ who entered the University of Tokyo by entrance exam with only memorization let them study such outrageous theory.
Whether it is the Treasury Department or the Ministry of Education, the bureaucrats who are making noise news will surely come from the University of Tokyo law department.
Because they cannot think that things by themselves, ‘pretending to obey but secretly betraying’ and say it is only possible to pull the legs of politics.
Sakurai
A lot of bureaucrats who do not consider the national interest are seen also in the Ministry of Foreign Affairs.
Hyakuta
Another person I would like to introduce is Yokota Kisaburo.
He is also an authority of the university of Tokyo Faculty of Law, but continues to say that the Constitution of Japan is not pressing, and during the occupation it is also issuing a book called ‘Emperor System’ that advocated abolition of the Emperor System.
However, in the later years, when appointed Chief Justice of Japan, he gathered the pupils and purchased his books at an old book store in Kanda for disposal.
‘Indeed, the abolition of the Emperor System was unfavorable’ he thought.
So, I cannot find his book quite easily.
Sakurai
It has done without thinking being ashamed of the horrible thing, too.
What distorted academics is nothing but a tragedy.
The apostasy of the Asahi Newspaper
Hyakuta
If you turn backwards, that is how tightening of GHQ was strict.
Losing your job in Japan, then the poorest country in the world, is literally involved in life and death.
Sakurai
For the people who were expelled, it was such a terrible situation that they were thrown away by the abyss of living or dead in the sense that families had to cultivate.
Hyakuta
Another thing I would like to say is that the civil service bureau of GHQ, who led the expulsion of public office, cannot have enough people to list over 200,000 Japanese.
So, who was it that helped with this?
Sakurai
It is Japanese.
In cooperation with GHQ, there was a Japanese who banished the Japanese.
Hyakuta
Socialists and communists used opportunities of purge of public office to eliminate political enemies.
Even within the company, there seems to be a lot of cases in which the boss and his co
lleague were kicked off and the career was promoted.
* Mr. Takayama Masayuki taught that many Chongryon officials got jobs including NHK, had taken advantage of the mess after the war,
The reason why they, or their descendants, still dominate NHK, TV Asahi, TBS etc. is probably due to chasing down as above *
This draft continues.
LESS THAN HUMAN 関連ツイート
人間が目でものを見るように,それはカメラから視覚情報を得る。