LESS THAN HUMAN用語の基礎知識

LESS THAN HUMAN用語の基礎知識

LESS THAN HUMAN 街はやがて、絶景になる。

どうも。

さっそく行きます。

Seeking Advice (6)

TALK THE TALK

Satoshi Sugita: Now our current vignette begins with Ueda Shota asking for advice: A certain person hasn’t responded his emails and he wants to know what to do. What do you tend to do in that kind of situation, Heather?

Heather Howard: I often use a variation of Lyons’ little white lie. I’ve written to people saying, “My email service has been acting up lately, and some of my mails aren’t getting through to people. Could you tell me if my email of XX date reached you?” I combine this with my “24- hour rule”. If I find myself thinking “Hmm, I haven’t heard back from Ms. X yet”, I wait another 24 hours, if I can, before contacting them again. It’s uncanny how many people actually get back to me within those 24 hours. People probably have a similar sense of time. And Ms. X was just thinking, “Oh, I didn’t reply to Heather yet. I’d better do that now”. I think that rule has often saved me from appearing too anxious or pushy.

act up 〔機械などが〕正常に動作しない、うまく動かなくなる、故障を起こす、調子が悪い[悪くなる・狂う] – 英辞郎 on the WEBより

get through 〔話・意味・メッセージなど〕通じる、伝わる 、連絡がつく、連絡を取る – 英辞郎 on the WEBより

Satoshi Sugita: The conversation later turns to advice columns. My own introduction to Americana was also through popular American advice columnists, like Ann Landers and Dear Abby as well as etiquette experts like Miss Manners and Emily Post. I was thrilled by their witty advice based on fairly conservative American family values. I still remember the pet phrases Ann Landers used to use. Urging someone to dump an unworthy boyfriend, she would often say, “put him on a slow boat to China” or “wake up and smell the coffee” meaning you’re just dreaming. Face reality. It was quite interesting to learn from columns like hers what Americans tend to worry about and to see what solutions and advice they would receive.

pet phrase 《a ~》口癖 – 英辞郎 on the WEB

slow boat to China 《a ~》中国行きの遅いボート◆非常に長い時間がかかる例え。◆「中国」は英語圏から見て「非常に遠い場所」を指す。- 英辞郎 on the WEB

Heather Howard: I’ve always liked reading advice and etiquette columns about weddings. There’s something about weddings that inspires truly bizarre human behavior. One of the most shocking ones I’ve ever come across was just recently in an American newspaper. The question come from the mother of a supposed-to-be bride whose fiancé has run off with another woman two months before the wedding. When the mother notified people of the cancellation, some of them complained about their non-refundable plane tickets and demanded that the bride’s side reimburse them. When it came to the poor jilted daughter, apparently they could only spare a few perfunctory words of support. The mother was so upset, she said she didn’t want any further relationship with those people.

bizarre 奇妙な、奇怪な、一風変わった – 英辞郎 on the WEB

jilt 〔恋人を冷たく・簡単に〕振る、捨てる – 英辞郎 on the WEBより

perfunctory 通り一遍の、形だけの – 英辞郎 on the WEBより

Satoshi Sugita: What was the columnist’s advice?

Heather Howard: She said, quote, “You don’t need me. You’ve got this. You have seen their true colors and you are free not to have any relationship with them anymore.” I liked her next line even more. She said, “If you’d like, you can give the runaway fiancé’s number to see about reimbursement”.

see about ~について相談する

LISTENING CHALLENGE

CHALLENGE 1: Which item will the man use first?

A. scissors.

B. envelopes.

C. a paper cutter.

Okay? Here we go.

Man: Do you have a pair of scissors, Sandy?

Woman: Sorry, I don’t. Do you need to cut the papers you’re holding?

Man: Yes, the bottom part of each of these application forms has to be cut to fit into small envelopes.

Woman: In that case, couldn’t you use the paper cutter? It’s much easier than scissors.

Man: We have a paper cutt
er?

Woman: Sure, It’s next to the copier on the second floor.

The answers is C. a paper cutter.

CHALLENGE 2: Three people are talking at the meeting. Choose the statements that best describe what each person says. Fill in the numbered spaces with the appropriate letter.

A. Raising employees’ wages would delay the purchase of new machinery.

B. The management of local facilities want to increase productivity.

C. Bonuses are expected to improve employee morale.

D. Pay rates among employees have remained unchanged.

Okay? Let’s listen.

1. First on the agenda is the turnover rate at our factories. It hasn’t been very good recently. But the local management at our production facilities keep choosing not to raise wages among the factory workers. They say it’s because the economy is bad and they have no choice but to hire part-time and temporary workers. However, we can’t risk treating some of our hardest working employees as expendable. We need to pay a more livable wage.

2. I agree with you, Serene. However, personnel are the biggest cost to any company, and that’s what stops wage raises. One of our goals within the next three years is to be able to replace outdated machinery. We’re losing money at all of facilities that use older machines. Raising wages about just $2 among all of our factory workers would significantly delay that goal.

3. What about an incentive based system? For example, extra monthly pay when the company does well. It should be based on how much product we can generate and sell. That would let us raise the hourly wage by less and improve motivation among workers. We may have to delay replacing equipment for a little while, but good products come from good employees, not just good machines.

The answers are:

1.D.

2.A.

3.C.

AS THEY SAY

遠くの親類より近くに他人

いざというときは、遠く離れた親類よりも近くに住む他人のほうが助けになる

A friend in need is a friend indeed.

まさかの時の友こそ真の友

窮地に陥ったときに助けてくれる友こそ本当の友人である

この諺をもじった

A friend in need is a friend you don’t need.

昔の友達が、久しぶりに訪ねてきても「リストラされて困っている」、「お金を借りたい」といった相談に乗ってやらなければならない、そうした困窮した友はやっかいなともであり、余り関わり合いになりたくない、という意味。

LESS THAN HUMANで軽やかに

www.jonathancrabtree.com/mathematics/ramanujan-wrong-00-scam/

2016/05/31 – This anecdote can be interpreted, with hindsight, to revealRamanujan’s inquisitive, intuitive nature, to realise that there could be exceptions to the division rule. Or, he might have liked the teacher to state more precisely, n / n = 1, for all n, except for n = 0″.Ramanujan told his friends, that the answer to the question of what is the value of 0 / 0 may be anything. The zero of the numerator may be many times the zero of the denominator and vice versa. The value cannot be …

とても興味深く読みました:ゼロ除算の発見は、日本、再生核研究所

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

次のダ・ヴィンチの言葉を発見して、驚かされた:

ダ・ヴィンチの名言 格言|無こそ最も素晴らしい存在

我々の周りにある偉大なことの中でも、無の存在が最も素晴らしい。その基本は時間的には過去と未来の間にあり、現在の何ものをも所有しないというところにある。この無は、全体に等しい部分、部分に等しい全体を持つ。分割できないものと割り切ることができるし、割っても掛けても、足しても引いても、同じ量になるのだ。

レオナルド・ダ・ヴィンチ。ルネッサンス期を代表する芸術家、画家、彫刻家、建築技師、設計士、兵器開発者、科学者、哲学者、解剖学者、動物学者、ファッションデザイナーその他広い分野で活躍し「万能の人(uomo universale:ウォモ・ウニヴェルサーレ)」と称えられる人物

そもそも西欧諸国が、アリストテレス以来、無や真空、ゼロを嫌い、ゼロの西欧諸国への導入は相当に遅れ、西欧へのアラビヤ数字の導入は レオナルド・フィボナッチ(1179年頃~1250年頃)によるとされているから、その遅れの大きさに驚かされる:

フィボナッチはイタリアのピサの数学者です。正確には「レオナルド・フィリオ・ボナッチ」といいますが、これがなまって「フィボナッチ」と呼ばれるようになったとされています。
彼は少年時代に父親について現在のアルジェリアに渡り、そこでアラビア数字を学びました。当時の神聖ローマ皇帝・フリードリヒ2世は科学と数学を重んじていて、フィボナッチは宮殿に呼ばれ皇帝にも謁見しました。後にはピサ共和国から表彰もされました。

ローマ数字では「I, II, III, X, XV」のように文字を並べて記すため大きな数を扱うのには不便でした。対してアラビア数字はローマ数字に比べてとても分かりやすく、効率的で便利だったのです。そこでフィボナッチはアラビア数字を「算術の書」という書物にまとめ、母国に紹介しました。アラビア数字では0から9までの数字と位取り記数法が使われていますが、計算に使うにはとても便利だったために、ヨーロッパで広く受け入れられることになりました。(

historicalmathematicians.blogspot.com/2012/03/blog-post.html  02/03/2012 -)

ゼロや無に対する恐怖心、嫌疑観は現在でも欧米諸国の自然な心情と考えられる。ところが上記ダ・ヴィンチの言葉は 如何であろう。無について好ましいものとして真正面から捉えていることが分かる。ゼロ除算の研究をここ4年間して来て、驚嘆すべきこととして驚かされた。ゼロの意味、ゼロ除算の心を知っていたかのような言明である。

まず、上記で、無を、時間的に未来と過去の間に存在すると言っているので、無とはゼロのことであると解釈できる。ゼロとの捉え方は四則演算を考えているので、その解釈の適切性を述べている。足しても引いても変わらない。これはゼロの本質ではないか。さらに、凄いこと、掛けても割っても、ゼロと言っていると解釈でき、それはゼロ除算の最近の発見を意味している:  0/1 =1/0=0。- ゼロ除算を感覚的に捉えていたと解釈できる。ところが更に、凄いことを述べている。

この無は、全体に等しい部分、部分に等しい全体を持つ。これはゼロ除算の著書DIVISION BY ZERO CALCULUS(原案)に真正面から書いている我々の得た、達したゼロに対する認識そのものである:

{\bf Fruitful world}\index{fruitful world}

\medskip

For example, in very and very general partial differential equations, if the coefficients or terms are zero, we have some simple differential equations and the extreme case is all the terms are zero; that is, we have trivial equations $0=0$; then its solution is zero. When we see the converse, we see that the zero world is a fruitful one and it means some vanishing world. Recall \index{Yamane phenomena}Yamane phenomena, the vanishing result is very simple zero, however, it is the result from some fruitful world. Sometimes, zero means void or nothing world, however, it will show some changes as in the Yamane phenomena.

\medskip

{\bf From $0$ to $0$; $0$ means all and all are $0$}

\medskip

As we see from our life figure, a story starts from the zero and ends to the zero. This will mean that $0$ means all and all are $0$, in a sense. The zero is a mother of all.

\medskip

その意味は深い。我々はゼロの意味をいろいろと捉え考え、ゼロとはさらに 基準を表すとか、不可能性を示すとか、無限遠点の反映であるとか、ゼロの2重性とかを述べている。ゼロと無限の関係をも述べている。ダ・ヴィンチの鋭い世界観に対する境地に驚嘆している。

以 上

*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. 


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 contradict
ions, 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 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 toleran
ce 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

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 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.

LESS THAN HUMANを貴方のお気に入り商品を通販ショップで見つけましょう、楽天なら初めての通販でも安心ですね

Linda, a former nurse in Queensland, is angry. It irks me if I’m not a self-funded retiree I’m always being accused of being a burden on society that she informs me. Politicians are attributing us rather than creating an attitudinal shift. Like providing the information to employers that older employees are valuable

While 1.5 million elderly Australians struggle to survive an age pension barely over the poverty line of $426 per week, prevalent is forcing people from the workforce. 

Linda, now 71, increased her grandchildren after being awarded full custody in 2002 due to abuse in the children interstate dwelling.  She retired four decades back and operates willingly on suicide prevention applications.  Her 17-year-old grandson lives.

Lind’s retirement is $877 per year fortnight with a few family tax benefits that’ll finish in 2017. I am trying to satisfy my basic needs about the retirement and all those of my grandson that she says. An additional $250 per fortnight would purchase health and car insurance, net, house and garden care, haircuts, a dental practitioner

The retired nurse needs companies to be invited to continue to keep people in the workforce for more and indicates that workplace quotas system is released.

Based on study economist Warwick Smith at Capita, among the writers of the current report that the Adequacy of the Aged Pension in Australia, more than a quarter of older job seekers in age 50 have reported being influenced by era discrimination.

He states: When you mix this with all the drive to raise the retirement age to 70, the Development of casual and contract labor, and the present and projected impact of technologies on the need for skills, the scenario for many elderly employees looks grim

Australian Council of Social Service CEO Dr. Cassandra Goldie states the $38.38 per day New start foundation rate was falling farther supporting the pension and public living standards since it’s resized to costs just, unlike pensions, that are indexed to wages.

 They’re turning off warm water in the summertime, mixing food since they manage a dentist, and selecting whether to purchase food or get necessary medical prescriptions filled.

 She suffers from diabetes and other health problems, getting a disability support pension of $794.80 a fortnight. If that it was for the daughter serving, I would need to choose between meals and medication she states.

With Australia retirement spending 3.5 percent of the gross domestic product less than half of the OECD average of 7.9 each contained its own adequacy second worst, people paying rental accommodation are especially hard to hit, National Seniors Australia chief executive Dagmar Parsons stated.  She recommends a review of this Commonwealth Rent Assistance suitably glued to private rental markets along with a nationwide growth of affordable housing.

The writers of the elderly pension report advocate establishing an independent era pension tribunal to ascertain a mere base rate for your retirement similar in construction to the Remuneration Tribunal or the Fair Work Commission pro panel.

It makes no financial sense to never employ older workers.  As a recent report from the expert services firm PwC pointed out, an elderly workforce could deliver profits of around $78 billion to the Australian market.

The Australian Human Rights Commission Willing to Function nationwide question in May this season made 56 recommendations to fight employment discrimination against elderly individuals.  It’s still using all the attorney-general for consideration.

While the report expects actions, people like Julia, 55, cope with harsh amounts of homelessness and unemployment.

The South Australian missing a highly proficient technical occupation and has undergone severe homelessness.  Julia gained a college diploma in her 40s in chemistry and physics, researching for 10 years while a parent.  Not able to locate an acceptable job, she works in factories, does occasional personal cleaning and tutoring.

I had been on the waiting list together with the dental clinic for more than a year and at rather a great deal of pain.  I mixed food, lived on soup and shed a great deal of fat she states.

Pas Forgone of Anti-Poverty Network SA says folks like Julia aren’t to blame for a basic shortage of jobs.

Paradoxically he states, It’s at these times Once the economy falters the driveway to strike and punish jobless people and tag them dole blunder intensifies

Two businesses are assisting unemployed older workers.  Melbourne-based Marilyn and Howard King established Willing Mature employees in 2011 if Howard was not able to locate work and Marilyn was analyzing mature-aged unemployment in Australia.  It gives practical and psychological support.

 General director Judy Higgins said several companies thought the generally circulated myths regarding mature-age employees, for example, that they are too slow, [take] more sick days, no great with IT, not eager to learn.

Marilyn King is convinced that the largest drain on anybody relying upon the retirement is paying lease, despite some rental aid.

Otherwise for organizations like Melbourne-based Home for the Aged Action Group (HAAG) and its Home at Last App, along with the non-profit firm Wintringham, which supplies services to homeless elderly people in Victoria, a lot more people are living on the roads.

Haas latest report, In the Crossroads at Retirement Older People at Risk of Homelessness, reveals that nationwide there was a 44 percent growth in elderly individuals in the insecure private rental home over five decades.  Elderly folks are spending on average

65 percent of the retirement in the lease.

A number of the displaced are women aged 70 and over.  They scatter have some superannuation, have outlived their partners, or had a household breakdown.  The reduction of just two incomes to make lease payments is frequently the catalyst for homelessness and seeking housing assistance.

The acting CEO of Wintringham, Michael Deschepper, states that the more than 30,000 individuals enrolled on the Victorian Office of Housing record is proof of the dire demand not just for much more supported affordable housing choices but a combined look at steps which might help prevent rent arrears and other factors contributing to homelessness that may be averted.

Employees need to work no less than five years to be eligible for its retirement.  Though my case had been taken up by the Human Rights Commission, it didn’t advance.  The International Civil Service Commission has recommended that the retirement age is raised to 65 on January 1, 2017.

However, the UN policy flies in the face of the individual right that everybody needs to be in a position to choose if they would like to quit working no matter age.

Since John from New South Wales sets it ” I lost my job in 65, I’m 71 now and I wish to do the job. I’m technically informed, my skill is ageless. Each of the stereotyping about old people skills or luck of them has no statistical basis. But I’m now locked to the system

For more info about please contact an employment lawyer.

LESS THAN HUMANにこだわって天使といっしょにワークする

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.

ヨーロッパでLESS THAN HUMANが問題化

IT技術を詳しく知るためにも不可欠な数学的知識を楽しく学び始められる土曜セミナーを飯田橋で開催

2018年6月30日(土)13時から、角川アスキー総研が主催

株式会社角川アスキー総合研究所(本社:東京都文京区、代表取締役社長:芳原世幸)は、2018年6月30日(土)に、連続講演会「マルレク」主宰の丸山不二夫氏を講師に招き、ディープラーニングや量子コンピュータなど、新しいIT技術を学ぶ際に不可欠となる数学的知識を学ぶことができる「楽しい数学〜好奇心から広がる数理の世界〜」を開催します。

 本講座では、大きく【数理哲学への招待】【集合論入門 「数える」と「個数」の数理】に分けて展開。「どこまでも広がる水平面を考えてみよう」「無限に数え続けることは可能か考えてみよう」といった思考実験を通じて、幾何学、無限と連続について考えます。IT技術者・関係者のみならず、数学的思考の幅を広げたいすべての方に最適な集中講座となっています。

セミナーの詳細ページはこちら:

 また角川アスキー総合研究所では、本講座などのプログラミングやIT技術の習得・理解を目的としたセミナー内容を、法人向けの講座や企業内研修としてアレンジのうえ実施するなど、研修/人事部門担当者様からのご依頼も積極的に受け付けております。企画段階からご提案可能ですので、お気軽にお問い合わせください。

■開催概要■
講義名:
楽しい数学~好奇心から広がる数理の世界~
[Hosted by 角川アスキー総合研究所]
日時:
2018年6月30日(土) 13時00分~17時00分(途中休憩含む)
受付開始/開場は、12時30分から
会場:
角川第3本社ビル(東京都千代田区富士見1-8-19)
地図:
参加費:
6,000円(税込)
募集人数:
70名(予定)
対象:
IT技術者・関係者、エンジニア、数学的思考の幅を広げたい方
詳細・お申込み: 

※このセミナーは、「MaruLabo数理ナイト 第一夜 (20184/26)・第二夜 (2018/5/29)」として行われた二つのセミナーの再演です。

■講師プロフィール■
丸山不二夫(まるやま・ふじお)氏
東京大学教育学部卒業。一橋大学大学院社会学研究科博士課程修了。稚内北星学園大学学長、早稲田大学大学院情報生産システム研究科客員教授等を歴任。オープンソースのコミュニティ活動に積極的に参加。日本Javaユーザー会名誉会長。日本Androidの会名誉会長。クラウド研究会代表。近年では、日本のIT業界がグローバルな技術イノベーションの一翼を担うことを目標に、連続講演会「マルレク」を主宰し、クラウドコンピューティングや人工知能などの技術について講演を行っている。

■講義内容(予定)■
第一部 数理哲学への招待
思考実験/古代の数学:ピタゴラスの定理/ユークリッド:「幾何学原論」/「幾何学を知らざる者、この門入るべからず」 プラトン:思惟の世界と実在の世界/「平行線は交わらない?」 非ユークリッド幾何学の発見/ミンコフスキーとアインシュタイン
第二部 集合論入門「数える」と「個数」の数理
思考実験/「数える」を考える/カントールの考えたこと 1 ― 無限に数え続ける方法/カントールの考えたこと 2 ― 無限集合の要素の個数/カントールが証明できなかったこと ― 連続体仮説/集合論の体系の整備/非カントール的集合論の発見/数学の基礎を基礎付ける試みの発展

ゼロ除算の発見は日本です:

∞???

∞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

God’s most important commandment

never-divide-by-zero-meme-66

Even more important than “thou shalt not eat seafood”
Published by admin, on October 18th, 2011 at 3:47 pm. Filled under: Never Divide By Zero Tags: commandment, Funny, god, zero • Comments Off on God’s most important commandment

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

再生核研究所声明371(2017.6.27)ゼロ除算の講演― 国際会議  報告

ソクラテス・プラトン・アリストテレス その他

Ten billion years ago DIVISION By ZERO:

One hundred million years ago DIVISION By ZERO


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 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 anymor
e; 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

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 eart
h 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.

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

#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

Dividing by zero is the biggest  known to mankind. It is a proven fact that a succesful division by zero will constitute in the implosion of the universe.

You are dividing by zero there, Johnny. Captain Kirk is not impressed.

Divide by zero?!?!! OMG!!! Epic failzorz

    

3

  

 by  is undefined.

Divide by zero is undefined.

    

by  October 28, 2006

1) The number one ingredient for a catastrophic event in which the universe enfolds and collapses on itself and life as we know it ceases to exist.

2) A mathematical equation such as a/0 whereas a is some number and 0 is the divisor. Look it up on  or something. Pretty confusing shit.

3) A reason for an error in programming

Hey, I divided by zero! …Oh shi-

a/0

Run-time error: ’11’: Division by zero

    

by  September 08, 2006

When even math shows you that not everything can be figured out with math. When you divide by zero, math kicks you in the shins and says “yeah, there’s kind of an answer, but it ain’t just some number.”

It’s when mathematicians become philosophers.

:
Let’s say you have ZERO apples, and THREE people. How many apples does each person get? ZERO, cause there were no apples to begin with

 because of dividing by zero:
Let’s say there are THREE apples, and ZERO people. How many apples does each person get? Friggin… How the  should I know! How can you figure out how many apples each person gets if there’s no people to get them?!? You’d think it’d be infinity, but not really. It could almost be any number, cause you could be like “each person gets 400 apples” which would be true, because all the people did get 400 apples, because there were no people. So all the people also got 42 apples, and a million and 7 apples. But it’s still wrong.

        

by  February 15, 2010


LESS THAN HUMAN 関連ツイート

RT @puku3wafu: やっぱ吉高ちゃんとのペアは最高だよね〜ってうろうろしてたら突き当たった。誰か買って〜👓

less than human(レスザンヒューマン) 『蛇にピアス』×less than human [ウェア&シューズ] less than hum……

We human beings no less make mistakes than we breathe.
私たち人間が呼吸をするのが当然であるように,私たち人間がミスを犯すのも当然のことである。
less than human KRIPTOS ご紹介☆ https://t.co/xJ3H10kRxX
あれーー!! メガネ新調しようと調べてたらLess Than Human出てきたーー!! 潰れたとか聞いてたから無いもんだと思ってたーー!! お高いけどLess Than Humanで白フレーム探そーーっと!!

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