Category Archives: amaths-wars

前傳 7

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生日快樂!!!

網誌分類: fan club 眾人 blog! | 網誌日期: 2007-99-99 21:20

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敬啟者:

賀生晨來函

        欣悉廿月廿日為 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

二零零六年廿月廿日

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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

二零零六年廿月廿日

[二零零七]

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2008.05.14 Wednesday \copyright CHK^2

1.1.2 Logic and Pure Mathematics

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Pure Mathematics is a system of (nontrivial) tautologies. Roughly speaking, a tautology[2] 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 do[3] anything you like. Just like what you do when designing the rules of chess.[4] You can do anythings 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 a 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 a context, the statement is, although true, a nonsense.

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2008.05.12 Monday \copyright CHK^2

K

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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.

— Kenneth Ring’s Lessons from the Light

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2008.05.11 Sunday CHK_2

前傳 6

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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 \copyright CHK^2

1.1.1 Analytic and Synthetic

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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.

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.

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 \copyright CHK^2

橫看成嶺側成峰

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網誌分類: 播種心田 | 網誌日期: 2007-01-17 22:42

ap_20070117103605891

Once upon a time
I just want to cry
No one ask me why
So I go to die

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After die I say HI

— Me

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harry

2007-01-25 20:42

哈哈哈~ 死左仲講hi, 你都咪話唔high.

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2008.05.05 Monday \copyright CHK^2

3.7.5 Spacetime transform

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3.7 Equivalent Descriptions of an Event
…3.7.1 Vector
…3.7.2 4-vector
…3.7.3 Time evolution – differential equation
…3.7.4 Foresight: spacetime co-ordinate transform
…3.7.5 Envision your future

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3.7.5 Envision your future

Whatever you do now, foresee what your future will be.

For example, when you teach a young boy, imagine how his future is shaped by your now-action.

Whenever you want to shape a future event, find the present-equivalence of that future event, and take action now.

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2008.05.01 Thursday \copyright CHK^2

前傳 3

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聖誕快樂!

網誌分類: fan club 眾人 blog! | 網誌日期: 2006-12-23 20:43

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謹代表    歌迷會    全體

祝各位聖誕快樂!!!

哈利

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記得做 a maths 同 maths 功課呀!!! XDDDD

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2008.04.29 Tuesday CHK_2

歌迷

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歌迷會成立

網誌分類: fan club 眾人blog! | 網誌日期: 2006-12-20 21:11

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攞 A 無難度!

歌迷會成員 (暫時如下):

永遠榮譽會長: 陳達明

永遠會長: 蔡哈利  5C

永遠副會長: 阿琛  5C

歌迷會聯絡人: 阿冼  5D

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招募成員! 有意請與哈利聯絡!

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會員 (截至12月20日)

大堅　4B
樞樞　5D

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2008.04.28 Monday CHK_2

前傳

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為達明預祝生日

網誌分類: fan club 眾人blog! | 網誌日期: 2006-12-20 22:53

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12月22日是達明的農曆生日

5C、5D的一眾兄弟姊妹們為永遠榮譽會長 ─ 達明 預祝生日

大家準備兩張 ____簿皮 生日卡，封面寫上 達明語錄 中的小許精句。

小弟獻醜，寫了一首不能見人的詩，不知達明會否喜歡呢？

一切準備就緒，在聖誕聯歡後，5C一眾人馬殺到 5D 大本營，

阿琛捧住蛋糕，我們大伙兒唱生日歌。

大家送上禮物，達明說出他的三個願望。

今天才知道，原來達明的弟弟今年 Form Five！

嘩！不知達明收到這個驚喜時，有沒有想哭的感覺呢？

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咬著 士的糖 的哈利

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p.s. 達明親筆簽名相 很有型，有機會再哂多幾張。

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2008.04.27 Sunday CHK_2

3.6.7 No persistence needed

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You are working on a big project. You have to work for one month for the project. At every single day of the month, you have to be concentrated. You would have to be persistent to finish the work.

However, if at the beginning of every day, you decide to concentrate for only one day, the task would seem to be lighter. The psychological pressure would be much lower.

Then, at the beginning of another day, you decide to concentrate for only one day again.

Using this mechanism, you just have to be persistent for one day at every time, much easier than to be persistent for the whole month. However, you can still get the benefit of being persistent for the whole month.

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2008.04.19 Saturday \copyright CHK^2