Advanced course == course in advance

philip1209 on June 30, 2018

One of my favorite classes in college was a physics course taught in this way:

1. Before class, we were assigned to read a chapter from the textbook, understand the material, and complete two or three homework problems from the material we had just self-learned.

2. After submitting homework, lectures focused on discussing the concepts more in-depth. Everybody already had a baseline knowledge, so the professor would highlight the important takeaways, applications, live demonstrations of concepts, etc. I found these lectures engaging because I had already learned the material – and the lectures focused on mastering it.

3. Sometimes there would be follow-up homework problems focusing on advanced applications or derivations. These advanced problems were closest to exam questions.

Some takeaways for me:

  • If we didn’t have homework to do before class, I doubt I would have consistently learned the material before lecture.

  • Lectures taught us more than the “what” – it taught us the “why” and how these concepts related to other areas.

  • Lectures focused on answering questions, exploring curiosities (like “what if” questions), demonstrations/experiments, and mastery. The professor added value beyond the written material!

I hope this helps OP because it sounds like they have material prepared beforehand, which means that the lectures could go beyond the material.

— Hacker News

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2022.12.13 Tuesday ACHK

Presentation 基本原理 1.2.2.5

這段改編自 2010 年 4 月 24 日的對話。

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然後第三點會,補充第一點。剛才第一點說,一課應只有一個重點。定義何謂「一點」和何謂「一課」,正正是講者的職責。

第三點就是,宏觀而言,

說話要 in series(串聯),不要 in parallel(並聯)。你要說完一句說話,才開始下一句。你要講完一個 point(要點),才講下一個。

千萬不要企圖,在同一刻時間中,講超過一句說話。亦千萬不要企圖,在同一句說話中,包含超過一個要點(point)。

簡言之,說話要有條理。

— Me@2010.09.05

那就正正為什麼是「條理」,而不是「塊理」。思路是一「條」線,不是一「塊」面。

那就正正為什麼是「思路」,而不是「思面」。思路是一條「路」,不是一塊「面」。

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那正正是,「安排」這個詞語的意思,把眾多想法要點,安放成一個排列。

情形就好像打字一樣。打字快的原因是,你打完一個英文字母,才打下一個;而不是在同一刻,打超過一個字母。

如果你企圖在同一刻,打超過一個字母,你會打錯字。字母次序錯了的話,時間得不償失。

— Me@2010.09.05

— Me@2022-10-25 02:58:36 PM

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2022.10.26 Wednesday (c) All rights reserved by ACHK

Presentation 基本原理 1.2.2.3

反不相關推薦 3.3

這段改編自 2010 年 4 月 24 日的對話。

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每一節課應該,只有一個重點。在該課中,你要用不同的句子、字眼、例子,來重複釐清和闡述,那個重點。講課時,一切的細節,都要圍繞著,那個重點來運行。

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(安:但是,有時正正就是需要,解釋兩個要點的關係。那又如何做到,一節課只講一要點呢?)

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「一課一要點」只是大概而言的企圖,毋須百分百執行。

另外,(甲、乙)兩個要點的關係,本身就已成一個要點(丙)。

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(安:你的意思是,第一、二、三節課,分別講甲、乙、丙?)

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漫畫化來說,正確。但是,你千萬不要,鑽牛角尖地問:「何謂『一個』要點?多大的要點,才為之『一個』呢?」

那是相對於,當刻的聽眾而言。一位聽者的「一個」要點,對於另外一位來說,可以是「兩個」。所以,你有責任,為當刻的聽眾,提供適合他們的「一個」要點。

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另外,在那堆要點之中,你不單是選「一個」,而且還要選,對他們而言,最有用的那一個。那往往是在,他們知識邊緣的東西,即是介乎知與不知之間。

換句話說,究竟是眾多要點中的哪一個呢?

就是聽眾當刻,剛剛有能力理解的數個要點之中,最重要、最根本的那一個。

— Me@2022-08-28 07:56:28 PM

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2022.08.29 Monday (c) All rights reserved by ACHK

Daily life is boring

地獄篇 3.2 | 開山祖師牛 6.4

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YOU are the missing MAGIC in your daily life.

— Me@2016-08-24 12:32 AM

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2022.08.22 Monday (c) All rights reserved by ACHK

Lectures On Computation

Feynman’s philosophy of learning and discovery comes through strongly in these lectures. He constantly points out the benefits of play around with concepts and working out solutions to problems on your own before looking at the back for the answers. As Feynman says in the lectures: “If you keep proving stuff that others have done, getting confidence, increasing the complexities of your solutions — for fun of it — then one day you’ll turn around and discovered that nobody actually did that one! And that’s the way, to become a computer scientist.” Imagine that you are explaining your ideas to your former smart but ignorant, self, at the beginning of your studies!

— Feynman[ Lectures on ]Computation

— 30[.]06[.]2003

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2022.07.21 Thursday ACHK

以右攻左

這段改編自 2021 年 12 月 13 日的對話。

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The whole notion of being “left wing” or “right wing” is silly.

Almost no one initially agrees with the semi-random collection of policies associated with each wing.

They only support those policies after they join the left or right mind tribe.

— 12:27 AM · May 13, 2022

— Elon Musk

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大概而言,美國左派的目標是「兼善天下」,美國右派的目標是「獨善其身」。

「兼善天下」(大乘)這目標固然是好,但就大到執行不到。

「獨善其身」(小乘)這目標則執行得到,但是就小到,其實沒有大用。如果是僅是「小乘」而已,人生沒有多大意義。試想想,假如,你可以「獨善其身」,生活富足,但是沒有愛人,沒有朋友,你會被迫,思考人生的意義。

「被迫思考人生意義」,可以簡稱「抑鬱」。

所以上次說,情況有如行路,要左右腳配合,才會暢順。如果你竟然,堅持只用左腳,或者只用右腳走路的話,你自然會感到,人生悲慘。

而今次多一個細節,就是「以右攻左」。成功「獨善其身」,才有能力「兼善天下」。「兼善天下」是目標,「獨善其身」是執行方法。

「兼善天下」是最終目標,永不達到,但可以不斷走近。 「獨善其身」則是起點。千里之行,始於足下。沒有起點,就沒有旅程。

— Me@2022.05.16 06:48:36 PM

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2022.05.16 Monday (c) All rights reserved by ACHK

地獄篇 10

外在世界是地獄,心中宇宙是天堂;把知識和想像化成現實,就是把地獄天堂化。

— Me@2011.10.05

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方法一:

創造或發掘有用的資訊,然後發佈。

例如,公佈騙子的身份和行騙方法,就可否定其害處。

又例如,天花的預防方法和醫治方法,否定了其害處之餘,甚至還否定了其存在。

— Me@2011.10.05

— Me@2022-04-13

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2022.04.13 Wednesday (c) All rights reserved by ACHK

十萬七千里 3.2

數學教育 7.4 | The least of all evils 8.2 | 眾害取其輕 8.2

這段改編自 2010 年 4 月 24 日的對話。

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… began doing just one thing ever which he had control.

— Stephen Covey

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這個原理用作,人生哲學的比喻的話,就是指,即使「目標不可能」,也不代表「要完全放棄」。亦即是話,即使你的一些人生目標,不可能實現,那也不代表你,完全沒有東西可以做。那「不可能的目標」或許可以,轉化為一個「可能的近似版本」。

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即使有些情況下,現實和理想,還相差十萬八千里,你總可以嘗試,把理實拉近理想一點點。你由 108,000 里,行到 107,999 里之處,才再想下一步,如何行近再一點點。見步行步,行步見步。

達到或接近理想,不是每人都做到。但是,減少理實和理想的距離,那怕只是一點點,則是大部人都,可以執行的任務。

追尋快樂,要機緣巧合。但減輕痛苦,則能力可及。

— Me@2022-04-09 04:20:42 PM

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2022.04.09 Saturday (c) All rights reserved by ACHK

惜此際 5

先唔講地唔地獄,但係因為有呢種人生觀,就算瓜咗,呢種思想模式都只會帶佢到呢啲境界嘅地方,到咗嗰度,如果佢都係咁睇野,結局又係揀自殺,咁樣不斷自殺,經歷一次又一次咁嘅局面,咁嘅經歷真係唔知算唔算地獄,可能佢都唔知經歷過幾多次呢款生生死死了,只有佢自己救到自己,其實心態改變一下就ok了,無野帶到黎,亦無野帶得走,咁認真做乜呢

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2022.03.29 Tuesday ACHK

十萬七千里 3

數學教育 7.3

這段改編自 2010 年 4 月 24 日的對話。

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(安:另外,他提的另一個,有關學習數學的要點是,即使假設你在大學中,學到的數學,在日常生活中沒有用,單單是為獲取,那些嶄新的元素概念本身,就已經能夠令你有超能力;令你有一些,常人沒有的思考工具、比喻語言。)

再例如,在微積分之初,我們學到了「極限」這概念。有時一些數式,永遠不會達到某個數値,但是卻可以,無限迫近。

例如,\displaystyle{\forall x,~~\frac{1}{x} \ne 0};意思是,無論你把 \displaystyle{x} 設成任何數値,\displaystyle{\frac{1}{x}} 都不會等於零。但是,你卻可以要求 \displaystyle{\frac{1}{x}},任意接近零。

\displaystyle{\lim_{x \to \infty} \frac{1}{x} = 0}

例如,如果想 \displaystyle{\frac{1}{x}}\displaystyle{0} 相差,少於 \displaystyle{0.01} 的話,你就設 \displaystyle{x = 101};如果想相差,少於 \displaystyle{0.0001} 的話,你就設 \displaystyle{x = 10001};如此類推。

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這個原理用作,人生哲學的比喻的話,就是指,即使「目標不可能」,也不代表「要完全放棄」。亦即是話,即使你的一些人生目標,不可能實現,那也不代表你,完全沒有東西可以做。那「不可能的目標」或許可以,轉化為一個「可能的近似版本」。

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例如,你的目標是「不勞而獲」,不用工作就有金錢收入。一般情形下,那是不可能。但是,「不勞而獲」有近似的版本嗎?

有,有一些。 例如,「小勞大獲」可以嗎?又例如,找你喜歡的工作可以嗎?

快樂工作的話,工作就不再是「工作」了。你被迫做一件事的話,那件事就是「工作」。你即使沒有需要,也會因為喜好,而做一件事的話,那件事就是「娛樂」。

— Me@2022-03-14 05:11:29 PM

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2022.03.20 Sunday (c) All rights reserved by ACHK

Lego System 6571

搜神記 3 | Extraordinary, 3.2

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Do not ask your children to strive for extraordinary lives. Such striving may seem admirable, but it is the way of foolishness. Help them instead to find the wonder and the marvel of an ordinary life. Show them the joy of tasting tomatoes, apples and pears. Show them how to cry when pets and people die. Show them the infinite pleasure in the touch of a hand. And make the ordinary come alive for them. The extraordinary will take care of itself.

— William Martin

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只要敢遠飛  亦能自創我的煙花紀
神是我自己  若然目光高過聚散分離
奉承你  因往日雙眼無珠不停放大你

想快樂不靠神跡  才懂創世紀

— 搜神記

— 林夕

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2022.02.12 Saturday (c) All rights reserved by ACHK

A Whole New World

嶄新的世界 5 | Extraordinary, 3

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Do not ask your children to strive for extraordinary lives. Such striving may seem admirable, but it is the way of foolishness. Help them instead to find the wonder and the marvel of an ordinary life. Show them the joy of tasting tomatoes, apples and pears. Show them how to cry when pets and people die. Show them the infinite pleasure in the touch of a hand. And make the ordinary come alive for them. The extraordinary will take care of itself.

— William Martin

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I can show you the world
Shining, shimmering, splendid
Tell me, princess, now when did
You last let your heart decide?

I can open your eyes
Take you wonder by wonder
Over, sideways and under
On a magic carpet ride

A whole new world
A new fantastic point of view
No one to tell us, “No”
Or where to go
Or say we’re only dreaming

— Aladdin’s A Whole New World

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2022.01.24 Monday ACHK

To realize is to realize, 1.5

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The ultimate self-fulfilling prophecies:

1. free will or not

2. god or no god

3. afterlife or not

4. future spouse exists or not

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Why self-fulfilling?

4. you have another half or not

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If you act as if your future wife exists, you have a much higher chance of finding her, because you have actually been providing the environment for her to exist.

If you act as if your future wife exists, compared with assuming not having one, you live completely differently. You will make yourself financially stable; you will earn and save money for your future wife and children. You will make yourself healthy so that you can live long enough to finally find her; and then stay with her for decades. You will make and meet genuine friends, for you know that one of them is either your future wife or the one who introduces her to you.

If you know that your future wife exists, you will not have any romantic relationship with anyone that is certainly not your future wife, no matter how beautiful she is. Actually, you will not start any romantic relationship with anyone at all, unless she is potentially your future wife.

You will keep writing letters, sending them to the future; to your future wife. Once your future wife realizes that those letters may be actually for her, she will find you to confirm.

— Me@2021-02-19 06:32:05 AM

— Me@2021-03-02 04:39:33 PM

— Me@2022-01-07 10:00:29 AM

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If you act as if your future wife exists, you know that the goal is not to find the “best” lady, but to find your future wife.

Your wife is the key to the lock of your life. Your goal is not to find the “best” key in the world, but to find the key of your life.

It is not to find the “best” key, but to find your key.

— Me@2021-12-03 12:03 PM

— Me@2021-12-05 03:22 AM

— Me@2022-01-07 12:30 PM

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Somewhere out there
beneath the pale moonlight
Someone’s thinking of me
and loving me tonight

— James Horner, Barry Mann, Cynthia Weil

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2022.01.07 Friday (c) All rights reserved by ACHK

Already here 3

他肯定可以看到,未來演算可知的結局。

但是,未來是碎片化的。

不真正到達未來那一刻,誰也不知道會發生什麼。

— 無縫連接《駭客任務:復活》 37.43

— 大聰看電影

— Me@2021-12-26 11:20:40 PM

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2022.01.03 Monday ACHK

To realize is to realize, 1.4

The Buddha attacked all attempts to conceive of a fixed self, while stating that holding the view “I have no self” is also mistaken. This is an example of the middle way charted by the Buddha.

— Wikipedia on Philosophy of self

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The ultimate self-fulfilling prophecies:

1. free will or not

2. god or no god

3. afterlife or not

4. future spouse exists or not

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Why self-fulfilling?

3. afterlife or not

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Whether “afterlife” exists or not depends on your definitions of “self” and “afterlife”.

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At one extreme, the definition of “afterlife exists” is that, after death, the same fixed self will continue to exist; “you” will exist in exactly the same way as before. In this definition, afterlife does not exist.

Note that even before death, during your normal lifetime, there is actually no “same fixed self”, “you” keeps changing every day and every second.

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At the opposite extreme, the definition of “afterlife exists” is that, some aspects of you continue to exist in some way. In this definition, afterlife exists.

For example, if some of your writings still exist after your death, they will preserve some of your mind.

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This question is like, when your old computer is dead and has got replaced, does it still exist?

The old computer hardware does not exist anymore. However, some of the software and the data do. But just some, not all.

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Continue to exist?

All of you?

NO

Some of you?

YES

— Me@2021-12-18 07:24:32 PM

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He attributes his lifelong habit of writing every day to an incident in 1932 when a carnival entertainer, Mr. Electrico, touched him on the nose with an electrified sword, made his hair stand on end, and shouted, “Live forever!” It was from then that Bradbury wanted to live forever and decided his career as an author in order to do what he was told: live forever.

— Wikipedia on Ray Bradbury

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2021.12.19 Sunday (c) All rights reserved by ACHK

Ordinary

The power of a man’s virtue should not be measured by his special efforts, but by his ordinary doing.

— Blaise Pascal

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2021.12.14 Tuesday ACHK