網誌分類: 播種心田 | 網誌日期: 2007-03-05 22:36
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“The accident left him without hands and mostly deaf and blind when he was 19.”
“Heim had to undergo a series of operations after the explosion which resulted in the loss of his arms. He found that intense concentration on the study of Einstein’s relativity theory helped him control the pain in his arms mentally and physically.”
— Wikipedia
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Me: Physics 能醫百病
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2008.05.31 Saturday
網誌分類: 播種心田 網誌日期: 2007-02-23 12:04
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Bachelor: someone has general knowledge
Master: someone has the ability to practice a particular field of knowledge
Doctor: someone has the ability to teach a particular field of knowledge
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— How to Get a PhD (book), by Estelle Phillips and Derek.S. Pugh
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harry 2007-02-26 19:30
好似master 勁過 doctor 咁
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2008.05.29 Thursday
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Chapter 2
Applied Mathematics
2.11 Knowledge map
Language, Logic, Maths, Physics, Chemistry, Biology
Logic, Pure Maths, Applied Maths, Mathematical Physics, Theoretical Physics, Experimental Physics
Logic, Pure Maths, Applied Maths, Pure Physics, Applied Physics, Engineering
Logic, Maths, Physics, Chemical Physics, Physical Chemistry
2.12 A Geography of Knowledge
Language, Logic, Symbolic Logic, Mathematical Logic, Mathematics, Mathematical Physics, Theoretical Physics, Physics, Experimental Physics, Chemical Physics, Physical Chemistry, Chemistry, Biochemistry, Molecular Biology, Biology
Language, Logic, Mathematics, Physics, Engineering
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2008.05.27 Tuesday
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Palmer Joss: By doing this, you’re willing to give your life, you’re willing to die for it. Why?
Ellie Arroway: For as long as I can remember, I’ve been searching for something, some reason why we’re here. What are we doing here? Who are we? If this is a chance to find out even just a little part of that answer… I don’t know, I think it’s worth a human life. Don’t you?
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— Contact (The Movie)
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2008.05.26 Monday
Emerson I
網誌日期: 2007-02-15 10:55 網誌分類: 播種心田
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If I have lost confidence in myself, I have the universe against me.
–Ralph Waldo Emerson
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2008.05.25 Sunday
Contents
Preface 緣起
1 Additional Mathematics
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1.1 General Mathematics
1.1.1 Analytic and Synthetic
1.1.2 Logic and Pure Mathematics
1.1.3 Scene One
1.1.4 Scene Two
1.1.5 Constrast
1.1.6 Mathematics
1.2 Additional Additional Mathematics
1.2.1 Deduction and Induction
1.2.2 Mathematical Induction
1.2.3 數學歸納法
1.2.4 數學感應法
2 Applied Mathematics
3 Storyline
4 Master
5 Writing
6 Doctor
7 Painting
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A Storyarc
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2008.05.24 Saturday
If you want to build a ship, don’t drum up the men to gather wood, divide the work and give orders. Instead, teach them to yearn for the vast and endless sea.
— Antoine de Saint-Exupéry
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2008.05.22 Thursday
Maths is not Science. Maths is the language of Science.
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Chinese + English + Maths = Language
G.Maths + A.Maths + Computer = Logic
G.Maths + A.Maths + Physics = Mathematics
Physics + Chemistry + Biology = Science
Biology + Art = Arts
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I studied them all 10 years ago.
How about you? What are your collections?
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2007.02.12 2007.08.30
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harry 2007-02-13 20:50
我都想知我的collection 係咩….
As long as you can realize the difference between analytic statements and synthetic statements, you can know what pure mathematics is.
Pure Mathematics is a system of useful analytic statements.10
Pure Mathematics is a system of useful tautologies, whether obvious or unobvious.
In Physics, every generation of physicists have to update the previous theories. For example, Einstein’s theory of gravity has updated Newton’s, explaining what Newton’s gravitation could not explain. But for Pure Maths, although every generation of mathematicians also create new mathematics, the new theories do not and cannot contradict the old ones. For example, “1+1=2” is always true, even in thousands of years later.11
1.1.7 Why maths is always true but physics is not?12
Pure Maths is a system of analytics statements. Analytic statements say nothing about the world. When you say nothing, you cannot be wrong.
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10 In Philosophy of Mathematics, this is called the Formalist’s theory of Mathematics. There is a bug in the formalist’s system. It is about the status of the axiom of infinity. For reference, see Bertrand Russell’s Introduction to Mathematical Philosophy.
11 Mathematics is eternal, as it is timeless, or outside time.
12 Mr. Lee
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2008.05.20 Tuesday
–Google Hong Kong
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2008.05.19 Monday
I have lived in the pursuit of a vision, both personal and social.
Personal: to care for what is noble, for what is beautiful, for what is gentle; to allow moments of insight to give wisdom at more mundane times.
Social: to see in imagination the society that is to be created, where individuals grow freely, and where hate and greed and envy die because there is nothing to nourish them.
These things I believe, and the world, for all its horrors, has left me unshaken.
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— Russell’s Autobiography
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2008.05.19 Monday
網誌分類: 播種心田 | 網誌日期: 2007-02-12 21:09
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State 1:
Physics
Pure Maths, Applied Maths
State 2:
Pure Maths
Physics, Applied Maths
State 3:
Applied Maths
Pure Maths, Physics
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This is about my A-level period. That period is the most amazing moments of my life. I still cannot get that time back.
2008.05.18 Sunday
Table 1.1: Contrasting
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Analytic
Synthetic
Logic
Pure Mathematics
Applied Mathematics
Physics
Relations of ideas
Matter of fact6
Deduction
Induction
Say nothing
Say something7
Always correct
Maybe wrong
Theory
Experiment
Software
Hardware
Computer Science
Computer Engineering
Mathematical Geometry
Physical Geometry
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6 David Hume
7 about the physical world
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2008.05.17 Saturday
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天佑中華.
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天佑地球.
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2008.05.15 Thursday
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穿梭時空 探索宇宙
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神來之筆 扣人心弦
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2008.05.14 Wednesday
生日快樂!!!
網誌分類: fan club 眾人blog! | 網誌日期:2007-02-08 21:20
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敬啟者:
賀生晨來函
……..欣悉二月八日為 永遠榮譽主席 陳達明 之壽辰，特此來函敬賀。冀 達明主席 閣下，身體安康，生活愉快! 更望 主席閣下 福壽連綿，繼續春風化風，桃李滿門!
……..謹代表 達明國際同盟會 各同窗致意。
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………………….此致
達明國際同盟會永遠榮譽主席 陳達明
達明國際同盟會 永遠主席
蔡哈利 敬上
二零零六年二月八日
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啟事
鑒於是日為 達明國際同盟會永遠榮譽主席 陳達明 之生日，還望各同窗到留言板留言或回應本文。聊表心意及送上祝福。謝謝!
達明國際同盟會 永遠主席
蔡哈利 親啟
二零零六年二月八日
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二零零七
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2008.05.14 Wednesday
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Pure Mathematics is a system of (nontrivial) tautology. Roughly speaking, a tautology2 is an analytic statement.
For example, consider this mathematics statement:
2 + 2 = 4
You do not have to do any kind of real world experiments in order to verify the statement. As long as you know the meanings of the symbols “2”, “+”, “=”, and “4”, you know that the statement is correct, and always. Of course, it says nothing about the physical world.
In pure mathematics, since you cannot and do not have to say anything about the real physical world, you can do3 anything you like. Just like what you do when designing the rules of chess.4 You can do anything as long as they are
consistent and
interesting.5
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Is a tautology just a nonsense?
Maybe, maybe not. It depends on context:
When you present an analytic statement as an analytic statement, it is not a nonsense.
When you present an analytic statement as a synthetic statement, it is a nonsense.
2 重言句, 恆真式
3 define
4 or when programming a software
5 i.e. useful
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Imagine the following scenes.
1.1.3 Scene One
A primary school student wrote 2 + 2 = 5 in his homework. His mathematics teacher told him that 2 + 2 = 5 was incorrect, “Two plus two should equal Four.” In such context, the statement is, although analytic, not a nonsense.
1.1.4 Scene Two
After 30 years of research, a physicist declared his research result, “Two plus Two equals Four!!!” In such context, the statement is, although true, a nonsense.
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2008.05.12 Monday
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My answer is that you would be a truly free person. You would be forever liberated from the tyranny of others’ opinions, from self-doubt, from the fear of life and the fear of death, and from the demands of time.
Instead, you would be free to enjoy life as it is and to find fulfillment and joy in helping others.
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— Kenneth Ring’s Lessons from the Light
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2008.05.11 Sunday
World’s funniest joke
網誌分類: 播種心田 | 網誌日期: 2007-01-25 00:18
“A couple of New Jersey hunters are out in the woods when one of them falls to the ground. He doesn’t seem to be breathing, his eyes are rolled back in his head. The other guy whips out his cell phone and calls the emergency services. He gasps to the operator: “My friend is dead! What can I do?” The operator, in a calm soothing voice says: “Just take it easy. I can help. First, let’s make sure he’s dead.” There is a silence, then a shot is heard. The guy’s voice comes back on the line. He says: “OK, now what?” ”
— Wikipedia
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harry 2007-01-25 20:41
=.=” 我覺得唔好笑喎
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我擒晚瞓覺果陣望住天上o既繁星
然後係度唸…
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究竟我個天花板去咗邊?
— Scott Adams
— Cantonese by Me
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2008.05.10 Saturday
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1.1.1 Analytic and Synthetic
Mathematics is about statements.
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To know what mathematics itself is, we have to realize that there are two kinds of statements: analytic statements and synthetic statements.
For an analytic statement, there is no information about the objective world. Whether an analytic statement is true or not depends on only the meanings of the component words. No real world experience is needed.
For a synthetic statement, there is some information about the objective world. Whether a synthetic statement is true or not depends on not only the meaning of the component words, but also the objective facts of the world.
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For example, consider this statement
I have passed the exam or I have not.
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It is an analytic statement … because you do not have to check my examination result to verify the statement. As long as you know the meanings of “or” and “not”, you know that the statement is always true. But it says nothing about the world.
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Consider another statement:
I have passed the exam.
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It is a synthetic statement … because you have to check my examination result to verify the statement. Even if you know the meanings of “or” and “not”, you do not know whether the statement is true or not. But the statement says something about the world.
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2008.05.08 Thursday
Physics Town 
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