凌晨舊戲 2.2

這段改編自 2010 年 4 月 18 日的對話。

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繼而,甲版本的瀕死經驗,可信度亦會高一些;因為,如果甲所講述的「境界極高道理」,其實是他自己的創作的話,一般而言,他並沒有動機,去把功勞賦予一個,虛構的瀕死經驗。

(問:但是,道理又怎樣為之「境界極高」呢?)

這個問題,跟前一個問題性質一樣,所以,答案跟前一個答案相若,都是用「好樹結好果」這個大原則。

能結出好果的,就為之「好樹」。能治療(或舒緩)病患的,就為之「好醫生」。

同理,如果一個建議,或者個觀點,能大大改善,讀者的心靈世界,甚至實際生活的話,那就為之「境界極高道理」。

(以下的「瀕死經驗者」,是「自稱經歷瀕死經驗人仕」的簡稱。同理,「瀕死經驗後」,是「所宣稱的瀕死經驗後」的縮寫。)

有部分瀕死經驗者,在瀕死經驗後,性格太幅度地改善,道德超常地提升。那樣,他口中的道理,可信度自然甚高。

(問:那樣,你又如何呢?

雖然,你未曾有過瀕死經歷,但是,你有閱讀過,所謂由瀕死經歷中,領悟到的道理。你有沒有嘗試,應用過它們?結果是「好果」?還是「壞果」?)

有部分是好果,受用無窮。但是,不幸地,亦有部分是壞果,受害無窮。那就是為什麼,我剛才再三強調,

如果你閱讀那些文章的話,要小心一點,因為那類文章良莠不齊——當中有些文章發人深省,有些則謊話連篇。

(問:那樣,你又可否舉例,哪些是帶來「好果」的真道理,而哪些卻是帶在「壞果」的假道理?)

不太可以,因為,沒有足夠的上文下理,個別道理說出來,很容易造成誤解。但是,要有足夠的上文下理的話,除了此刻需要,長篇大論外,聽者的人生閱歷,不能太少。

(問:即是話,要足夠老?)

可以這樣說。但是,我可以給你一個大方向。

年輕人,很容易以為,動聽的(所謂)道理,就是真確的道理。

只要你能夠提防這種錯覺,你就已經可以,避免大量的錯誤。

— Me@2018-11-08 11:24:23 AM

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2018.11.08 Thursday (c) All rights reserved by ACHK

A pretty girl, 2

Women are directly fitted for acting as the nurses and teachers of our early childhood by the fact that they are themselves childish, frivolous and short-sighted; in a word, they are big children all their life long–a kind of intermediate stage between the child and the full-grown man, who is man in the strict sense of the word. See how a girl will fondle a child for days together, dance with it and sing to it; and then think what a man, with the best will in the world, could do if he were put in her place.

— Of Women

— Arthur Schopenhauer

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When the elderly Schopenhauer sat for a sculpture portrait by the Prussian sculptor Elisabet Ney in 1859, he was much impressed by the young woman’s wit and independence, as well as by her skill as a visual artist. After his time with Ney, he told Richard Wagner’s friend Malwida von Meysenbug, “I have not yet spoken my last word about women. I believe that if a woman succeeds in withdrawing from the mass, or rather raising herself above the mass, she grows ceaselessly and more than a man.

— Wikipedia on Arthur Schopenhauer

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Anybody can look at a pretty girl and see a pretty girl. An artist can look at a pretty girl and see the old woman she will become. A better artist can look at an old woman and see the pretty girl that she used to be. But a great artist — a master — and that is what Auguste Rodin was — can look at an old woman, portray her exactly as she is… and force the viewer to see the pretty girl she used to be…. and more than that, he can make anyone with the sensitivity of an armadillo, or even you, see that this lovely young girl is still alive, not old and ugly at all, but simply prisoned inside her ruined body. He can make you feel the quiet, endless tragedy that there was never a girl born who ever grew older than eighteen in her heart…. no matter what the merciless hours have done to her. Look at her, Ben. Growing old doesn’t matter to you and me; we were never meant to be admired — but it does to them. Look at her! (UC)

— Robert A. Heinlein

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2018.10.27 Saturday ACHK

Existence and Description

Bertrand Russell, “Existence and Description”

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§1 General Propositions and Existence

“Now when you come to ask what really is asserted in a general proposition, such as ‘All Greeks are men’ for instance, you find that what is asserted is the truth of all values of what I call a propositional function. A propositional function is simply any expression containing an undetermined constituent, or several undetermined constituents, and becoming a proposition as soon as the undetermined constituents are determined.” (24a)

“Much false philosophy has arisen out of confusing propositional functions and propositions.” (24b)

A propositional function can be necessary (when it is always true), possible (when it is sometimes true), and impossible (when it is never true).

“Propositions can only be true or false, but propositional functions have these three possibilities.” (24b)

“When you take any propositional function and assert of it that it is possible, that it is sometimes true, that gives you the fundamental meaning ‘existence’…. Existence is essentially a property of a propositional function. It means that the propositional function is true in at least one instance.” (25a)

— Brandon C. Look

— University Research Professor and Chair

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2018.10.07 Sunday ACHK

Problem 14.5a1

Counting states in heterotic SO(32) string theory | A First Course in String Theory

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(a) Consider the left NS’ sector. Write the precise mass-squared formula with normal-ordered oscillators and the appropriate normal-ordering constant.

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\displaystyle{\alpha' M_L^2 = \frac{1}{2} \sum_{n \ne 0} \bar \alpha_{-n}^I \bar \alpha_n^I + \frac{1}{2} \sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

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What is normal-ordering?

Put all the creation operators on the left.

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What for?

p.251 “It is useful to work with normal-ordered operators since they act in a simple manner on the vacuum state. We cannot use operators that do not have a well defined action on the vacuum state.”

“The vacuum expectation value of a normal ordered product of creation and annihilation operators is zero. This is because, denoting the vacuum state by |0\rangle, the creation and annihilation operators satisfy”

\displaystyle{\langle 0 | \hat{a}^\dagger = 0 \qquad \textrm{and} \qquad \hat{a} |0\rangle = 0}

— Wikipedia on Normal order

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— This answer is my guess. —

\displaystyle{\sum_{n \ne 0} \bar \alpha_{-n}^I \bar \alpha_n^I}

\displaystyle{= \sum_{n \in \mathbf{Z}^-} \bar \alpha_{-n}^I \bar \alpha_n^I + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_n^I}

\displaystyle{= \sum_{n \in \mathbf{Z}^+} \bar \alpha_{n}^I \bar \alpha_{-n}^I + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_n^I}

\displaystyle{= \sum_{n \in \mathbf{Z}^+} \left[ \bar \alpha_{n}^I \bar \alpha_{-n}^I - \bar \alpha_{-n}^I \bar \alpha_{n}^I + \bar \alpha_{-n}^I \bar \alpha_{n}^I \right] + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_n^I}

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\displaystyle{= \sum_{n \in \mathbf{Z}^+} \left[ \bar \alpha_{n}^I, \bar \alpha_{-n}^I \right] + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_n^I}

= \displaystyle{\sum_{n \in \mathbf{Z}^+} n \eta^{II} + 2 \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I}

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c.f. p.251:

\displaystyle{\sum_{n \ne 0} \bar \alpha_{-n}^I \bar \alpha_n^I}

\displaystyle{= \sum_{n \in \mathbf{Z}^+} n \eta^{II} + 2 \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I}

\displaystyle{= \frac{-1}{12} (D - 2) + 2 \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I}

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Equation at Problem 14.5:

\displaystyle{\alpha' M_L^2}

\displaystyle{= \frac{1}{2} \sum_{n \ne 0} \bar \alpha_{-n}^I \bar \alpha_n^I + \frac{1}{2} \sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \frac{1}{2} \left[ \frac{-1}{12} (D - 2) + 2 \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I \right] + \frac{1}{2} \sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \frac{-1}{24} (D - 2) + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I + \frac{1}{2} \sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \frac{-1}{8} + \sum_{n \in \mathbf{Z}^+} \bar \alpha_{-n}^I \bar \alpha_{n}^I + \frac{1}{2} \sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

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D = 10

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\displaystyle{\sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \sum_{r = - \frac{1}{2}, - \frac{3}{2}, ...} r \lambda_{-r}^A \lambda_r^A + \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} (-r) \lambda_{r}^A \lambda_{-r}^A + \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ (-1) \lambda_{r}^A \lambda_{-r}^A + \lambda_{-r}^A \lambda_r^A \right]}

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\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ (-1) \lambda_{r}^A \lambda_{-r}^A + \lambda_{-r}^A \lambda_r^A \right]}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ \lambda_{-r}^A, \lambda_r^A \right]}

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Equation (14.29):

\displaystyle{\left\{ b_r^I, b_s^J \right\} = \delta_{r+s, 0} \delta^{IJ}}

\displaystyle{b_r^I b_s^J = - b_s^I b_r^J + \delta_{r+s, 0} \delta^{IJ}}

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\displaystyle{\sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ (-1) \lambda_{r}^A \lambda_{-r}^A + \lambda_{-r}^A \lambda_r^A \right]}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ (-1) \left( - \lambda_{-r}^A \lambda_r^A + \delta_{r-r, 0} \delta^{AA} \right) + \lambda_{-r}^A \lambda_r^A \right]}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ \lambda_{-r}^A \lambda_r^A + \lambda_{-r}^A \lambda_r^A - 1 \right]}

\displaystyle{= \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ 2 \lambda_{-r}^A \lambda_r^A - 1 \right]}

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\displaystyle{\sum_{r \in \mathbf{Z} + \frac{1}{2}}r \lambda_{-r}^A \lambda_r^A}

\displaystyle{= - \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r + \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ b_{-r}^A b_r^A + \lambda_{-r}^A \lambda_r^A \right]}

\displaystyle{= - \frac{1}{2} \sum_{r = 1, 3, ...} r + \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left[ b_{-r}^A b_r^A + \lambda_{-r}^A \lambda_r^A \right]}

\displaystyle{= \left[ - \frac{1}{24} + \sum_{r = \frac{1}{2}, \frac{3}{2}, ...} r \left( b_{-r}^A b_r^A + \lambda_{-r}^A \lambda_r^A \right) \right]}

— This answer is my guess. —

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— Me@2018-08-06 10:23:48 PM

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2018.08.06 Monday (c) All rights reserved by ACHK

如何拯救眾生 2

How to improve the world indefinitely?

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There is law of conservation of energy.
There is law of conservation of mass.
But, there is no law of conservation of ideas.

能量守恆,
質量守恆,
意念不守恆,
程式可以無限複製.

— Me

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If you have an apple and I have an apple, and we exchange apples, we both still only have one apple. But if you have an idea and I have an idea, and we exchange ideas, we each now have two ideas.

— George Bernard Shaw

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. . . it is the action of the thinking power called an idea, which an individual may exclusively possess as long as he keeps it to himself; but the moment it is divulged, it forces itself into the possession of every one, and the receiver cannot dispossess himself of it. Its peculiar character, too, is that no one possesses the less, because every other possesses the whole of it. He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper at mine, receives light without darkening me.

That ideas should freely spread from one to another over the globe, for the moral and mutual instruction of man, and improvement of his condition, seems to have been peculiarly and benevolently designed by nature, …

— Thomas Jefferson

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2008.10.21 Tuesday (c) All rights reserved by ACHK

如何拯救眾生 1

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The meeting of two personalities is like the contact of two chemical substances: if there is any reaction, both are transformed. — Carl Jung

Generalized Newton’s Third Law: You cannot change others without being changed. — John Wheeler

改變別人時, 你也會被改變. — Me

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You are an A person. You befriend with an F person. The result is that your friend becomes a better person, you become a worse person. In theory, you become a C person. Your friend becomes a C person. In practice, since being a bad person is much easier than being a good person, you two will become both F people. — Me

無友不如己者. — 孔子

Be slow in making friends, slower in changing. — Benjamin Franklin

You have to know how to accept rejection and reject acceptance. — Ray Bradbury

If you hire all A people, he said, they’ll also hire A people. But if you hire B people, they’ll hire the C people and then it’s all over. — Joel Spolsky

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So that means you cannot help anyone weaker than you?

NO.

Instead, you should help others. But you have to help others in a smart way. — Me

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How?

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. . . it is the action of the thinking power called an idea, which an individual may exclusively possess as long as he keeps it to himself; but the moment it is divulged, it forces itself into the possession of every one, and the receiver cannot dispossess himself of it. Its peculiar character, too, is that no one possesses the less, because every other possesses the whole of it. He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper at mine, receives light without darkening me.

— Thomas Jefferson

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2008.10.22 Wednesday (c) All rights reserved by ACHK

3 Storyline

3 Storyline

3.1 In the beginning,
…3.1.1 in a sense, we are all time travellers

3.2 Now is the past of the future, the future of the past

3.3 You are nowhere but now-here

3.4 Living in now-here

3.5 Time messenger
…3.5.1 how to send messages to your past self
…3.5.2 how to receive messages from your future self
…………接收來自未來的訊息
…3.5.3 deja vu 似曾相識
…3.5.4 how to send messages to your future self
…3.5.5 regrets
…3.5.6 have no regrets
…3.5.7 palm
…3.5.8 preserve time

3.6 Now-here-I
…3.6.1 Foresight: prequel
…3.6.2 Where is your past-self? Where is your future-self?
…3.6.3 You are all of yourselves
…3.6.4 Now-here-I: the holographic universe
…3.6.5 Be always ready
…3.6.6 Nothing less
…3.6.7 No persistence needed
…3.6.8 Eliminate the passage of time 與時並進
…3.6.9 Event realism 事件實在論
…3.6.10 Lost in time

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2008.04.29 Tuesday (c) All rights reserved by ACHK

Chrono Trigger 3

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Masato Kato confirmed that Cross featured a central theme of parallel worlds, as well as the fate of Schala, which he was previously unable to expound upon in Chrono Trigger. Concerning the ending sequences showing Kid searching for someone in a modern city, he hoped to make players realize that alternate futures and possibilities may exist in their own lives, and that this realization would “not … stop with the game”.

— Wikipedia on Chrono Cross

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2011.05.02 Monday ACHK

Ra’s al Ghul

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Planned cast

Bale said he would return if Nolan did. Aaron Eckhart had expressed his enthusiasm to return for a sequel if asked, although he later stated Nolan verified that his character, Harvey Dent, is dead. Nolan confirmed that the ensemble cast from the first two films will be returning. Tom Hardy and Anne Hathaway have been cast as Bane and Selina Kyle. Juno Temple has been cast in a role described as a “street-smart Gotham girl”. Josh Pence was cast as a young Ra’s al Ghul, with his scenes to take place thirty years before the events of Batman Begins. Nestor Carbonell is in negotiations to reprise his role as Mayor Anthony Garcia. Joseph Gordon-Levitt has been cast as John Blake, “a Gotham City beat cop,” along with Marion Cotillard, who will be portraying Miranda Tate, “a Wayne Enterprises board member eager to help a still-grieving Bruce Wayne resume his father’s philanthropic endeavors for Gotham”.

— Wikipedia on The Dark Knight Rises

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2011.04.30 Saturday ACHK

Teachers 4

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I’m about to become a teacher. How can I be a good one?

The best teachers I remember from school had three things in common:

(1) They had high standards. Like three year olds testing their parents, students will test teachers to see if they can get away with low-quality work or bad behavior. They won’t respect the teachers who don’t call them on it.

(2) They liked us. Like dogs, kids can tell very accurately whether or not someone wishes them well. I think a lot of our teachers either never liked kids much, or got burned out and started not to like them. It’s hard to be a good teacher once that happens. I can’t think of one teacher in all the schools I went to who managed to be good despite disliking students.

(3) They were interested in the subject. Most of the public school teachers I had weren’t really interested in what they taught. Enthusiasm is contagious, and so is boredom.

— Paul Graham

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2011.04.05 Tuesday ACHK

PayPal

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No, because I think we didn’t know what we were doing. I think the hallmark of a really good entrepreneur is that you’re not really going to build one specific company. The goal — at least the way I think about entrepreneurship — is you realize one day that you can’t really work for anyone else. You have to start your own thing.

— Max Levchin

— Founders at Work

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2011.03.31 Thursday ACHK

Great Idea 4

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If so, this is good news indeed. Good ideas always tend to win eventually. The problem is, it can take a very long time. It took decades for relativity to be accepted, and the greater part of a century to establish that central planning didn’t work. So even a small increase in the rate at which good ideas win would be a momentous change — big enough, probably, to justify a name like the “new economy.”

— Paul Graham

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2011.03.29 Tuesday ACHK