# Timetable for high school study 9

（LWT：如果又要溫習、又想打籃球的話，我應該怎麼辦？）

（LWT：為什麼呢？）

— Me@2010.05.31

# Metamathematics

Richard’s paradox (Richard 1905) concerning certain ‘definitions’ of real numbers in the English language is an example of the sort of contradictions which can easily occur if one fails to distinguish between mathematics and metamathematics.

— Wikipedia on Metamathematics

2010.05.31 Monday ACHK

# Twenty-eight

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… 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.

The nobler and more perfect a thing is, the later and slower it is in arriving at maturity. A man reaches the maturity of his reasoning powers and mental faculties hardly before the age of twenty-eight; a woman at eighteen.

— Arthur Schopenhauer

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2010.05.31 Monday $ACHK$

# 知識完備集合 5

The important thing is not to do a lot or to do everything.

The important thing is to be ready for anything, at all the times; …

— Mother Teresa

The point is not “to learn everything”;

the point is “to be able to learn anything at anytime”.

— Me@2010.05.29

# Relationship between string theory and quantum field theory

Many first principles in quantum field theory are explained, or get further insight, in string theory: …

— Wikipedia

2010.05.30 Sunday ACHK

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I think it’s because humor is related to strength. To have a sense of humor is to be strong: to keep one’s sense of humor is to shrug off misfortunes, and to lose one’s sense of humor is to be wounded by them. And so the mark– or at least the prerogative– of strength is not to take oneself too seriously.

— Paul Graham

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2010.05.30 Sunday $ACHK$

# Half an Hour 5

Timetable for high school study 8

（LWT：但是，有時會不捨得「離開」的。）

（LWT：又是根據你所講，「不要理會自己的感受」？）

（LWT：正是！我就是這樣的。那就不要理會自己的感受 … 但是，我仍然會一路擔心下去。）

（LWT：如果自己繼續擔心的話，不會影響工作表現和溫習進度的嗎？）

（LWT：你的意思是，只要專注投入工作，大腦就自然沒有閒暇去作無謂的擔心？）

— Me@2010.05.29

# Quaternions

In short: spin-1/2 particles are quaternions!

Thus the meaning of j is time reversal.

— John Baez

2010.05.29 Saturday ACHK

# Good teacher 2

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The answer to the paradox, I think, is that you have to design for the user, but you have to design what the user needs, not simply what he says he wants. It’s much like being a doctor. You can’t just treat a patient’s symptoms. When a patient tells you his symptoms, you have to figure out what’s actually wrong with him, and treat that.

— Paul Graham

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2010.05.29 Saturday $ACHK$

# Gravitational singularity

# 0-dimensional singularity: magnetic monopole
# 1-dimensional singularity: cosmic string
# 2-dimensional singularity: domain wall

— Wikipedia on Gravitational singularity

2010.05.28 Friday ACHK

# Genius 2

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All children are born geniuses;

9999 out of every 10000 are swiftly,

— Buckminster Fuller

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The way to be a genius is to REALIZE that you are already one

as long as you can keep your child-self

against all the evils in the world.

— Me@2010.01.01

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2010.05.28 Friday $copyright ACHK$

# Timetable for high school study 7

50 50 2

（LWT：有時候，眼前有 5 樣功課，結果花了很多時間去考慮究竟應該先做哪一樣。）

（LWT：但是，有時會不捨得「離開」的。）

（LWT：又是根據你所講，「不要理會自己的感受」？）

（LWT：正是！我就是這樣的。）

— Me@2010.05.27

「魔法時間表」詳情刊載於：

Half an Hour 2

Half an Hour 1

Timetable for high school study

— Me@2010.05.27

# Categorifying Fundamental Physics 2

The data types turn out to be analogous to types of particles, while the programs are analogous to Feynman diagrams with a given collection of particles coming in and another collection going out.

— Categorifying Fundamental Physics, John Baez

2010.05.27 Thursday ACHK

# Mistakes 4

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* An ordinary mistake is one that leads to a dead end, while a profound mistake is one that leads to progress. Anyone can make an ordinary mistake, but it takes a genius to make a profound mistake.

o The Lightness of Being – Mass, Ether and the Unification of Forces, Basic Books 2008, chapter 1, p. 12

— Frank Wilczek, American physicist and Nobel laureate (2004)

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2010.05.27 Thursday $ACHK$

— Me@2010.05.26

# nPOV

Similar to the statement that

Nothing in biology makes sense except in the light of evolution

the nPOV asserts that

Nothing in mathematics makes sense except in the light of higher category theory.

— nLab

2010.05.26 Wednesday ACHK

# 諾貝爾獎

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— Me@2009.10.25

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2010.05.26 Wednesday $copyright ACHK$

# Half an Hour 4

Timetable for high school study 6

— Me@2010.05.25

「半小時方法」詳情刊載於：

Half an Hour 2

Half an Hour 1

Timetable for high school study

— Me@2010.05.22