在那一年

Memory 4.4 | Copy Me, 5.3 | Memento 4

這段改編自 2010 年 4 月 3 日的對話。

根據我的經驗,近乎只有一個情況,會令我真正明確回憶起,中學時代的某一件特定事件。那就是當收拾房間,整理一大堆物件的時候,偶然會見到那個時代的一些「紀念品」,例如 成績表、筆記、書籍、相片 和 電影戲票 等。

所以,為免遺失原本的自我,你應定期收集和保存「紀念品」,作為人生的「里程碑」。「紀念品」就好像是「記憶保險箱的鎖匙」,助你隨時喚醒多年前的詳細記憶,令你重遇年輕時的自己。你的信件、文章 和 作品,往往就是最佳的「紀念品」。

— Me@2012.10.06

2012.10.06 Saturday (c) All rights reserved by ACHK

Paradox 3.4

Meta-time 3.4

Time travel is only possible if there is a meta-time. Time travel is only possible if our physical time is fake, in a sense that it is not the real causal chain; and the meta-time is real, in a sense that it is the real causal chain.

For example, if our so-called physical world is actually a computer video game simulation, then the “physical” laws and the “physical” time are fake, in a sense that they are illusions simulated by a computer. The world to which that computer belongs is our meta-time. That meta-world is the real physical world. That meta-time is the real causal chain.

— Me@2012-10-01 12:53:48 PM

— Me@2012-10-03 02:21:45 PM

— Me@2012-10-05 11:24:43 AM

2012.10.06 Saturday (c) All rights reserved by ACHK

Paradox 3.3

Meta-time 3.3

Paradox is due to the mixing of para-level (meta-level) and original level, including the time-travel paradoxes.

The grandpa paradox has the similar structure as

“This sentence is true.”

The ontological paradox has the similar structure as

“This sentence is false.”

— Me@2012-10-06 09:35:11 AM

2012.10.06 Saturday (c) All rights reserved by ACHK

Paradox 3.2

Meta-time 3.2

Paradox is due to the mixing of para-level (meta-level) and original level. For example, consider this sentence:

“This sentence is false. “

There are two problems for this sentence.

First, is this sentence true or false? 

If it is true, according to itself, it is false.

But if it is false, then the assertion that “this sentence is false” is false, so it is true.

Second, what is the level of this sentence?

We don’t know, because it is referring to nothing, except itself. Let us just assume that it is an order-n sentence.

But since it describes itself, it describes an order-n sentence. So it is an order-(n+1) sentence.

But since it describes itself, it describes an order-(n+1) sentence. So it is an order-(n+2) sentence.

Contradiction!

How can the same sentence have more than one order?

That is exactly the problem of mixing levels. The meaning of the sentence and the meaning of the meta-sentence may contradict.

“This sentence is false.” is with level n, (n+1), (n+2), … at the same time.

But if it is true at level n, it is false at level (n+1), and true at level (n+2), etc.

So it is true and false and true …

Paradox is due to the mixing of para-level (meta-level) and original level. As long as we do not allow mixing levels, there are no paradoxes. Every sentence should only be allowed to describe sentences which have lower levels. For example, a sentence, S, is with level n.

Then S is not allowed to describe any other level n (or higher than level n) sentences.

— Me@2012-10-05 02:00:04 PM

2012.10.05 Friday (c) All rights reserved by ACHK

Paradox 3.1

Meta-time 3.1

Objects and events are of level zero.

Sentences about objects and events are of level one. They are called order-one sentences, e.g.

“Here is an apple.”

Sentences about sentences are of level two. They are called order-two sentences or meta-sentences, e.g.

“”Here is an apple.” has 4 words.”

Sentences about order-two sentences are of level three. They are called order-three sentences or meta-meta-sentences, e.g.

“”Here is an apple.” has 5 words.” is false.”

— Me@2012-10-05 12:00:04 PM

2012.10.05 Friday (c) All rights reserved by ACHK

Paradox 2

Meta-time 2

Paradox is due to the mixing of para-level (meta-level) and original level.

— Me@2012-09-29 02:22:14 PM

… including the time-travel paradoxes.

As long as you put time-travel into a story, you mix the meta-time and the original time within that story. Thus time-travel paradoxes appear.

— Me@2012-10-01 10:33:05 AM

The two typical time-travel paradoxes are the grandfather paradox and the ontological paradox.

The grandfather paradox is that time-travel would create an inconsistent story. For example, if you time-travel back to 10 years ago and kill your younger self, you present-self cannot exist. So you could not have time-travelled back to 10 years ago and kill your younger self, you present-self can exist. But your present-self have time-travelled back to 10 years ago and kill your younger self, then you present-self cannot exist.

The ontological paradox is that information can come from nowhere and events can happen with no cause. For example, your future-self goes back in time to give you the solution of a homework problem. After copying it, you go back in time to give your past-self the solution of that homework problem. The question is, where does that homework solution come from?

The meta-time is the author’s time or the readers’ time, which is the real, in a sense that it is the real causal chain. The original-time is the time within that story, which is fake, in a sense that it is not the real causal chain. As long as we distinguish the meta-time (author’s time) and the original-time (story-time) clearly, the two paradoxes can be transcended.

To avoid the grandfather paradox, only the author should be allowed to go back into an earlier story-time. For example, after finishing the 10 chapters of a story, the author goes back to the first chapter to rewrite and polish it. The characters within that story should not be able to go back into an earlier story-time.

To transcend the ontological paradox, we should realize that the “information from nowhere” is actually from the meta-time; the “event with no cause” is actually caused by the author of that story.

— Me@2012-10-03 02:21:45 PM

2012.10.03 Wednesday (c) All rights reserved by ACHK

Memory 4.3

Copy Me, 5.2

這段改編自 2010 年 4 月 3 日的對話。

「十年前的我」和「現在的我」的記憶不盡相同,而導致不是「同一個人」,有兩重意思。

第一重是,「現在的我」(三十歲)比「十年前的我」(二十歲),多了十年的記憶。那就是我剛才所講的「增加」。

第二重是,即使只比較人生頭二十年的記憶,「三十歲的我」回憶(例如)「十六歲那年」發生了什麼事,已經不及「二十歲的我」回憶「十六歲那年」那麼詳細和準確。那就是我剛才所講的「變形、刪減 和 篡改」。

更震撼的是,如果我真的問你,「十六歲那年」發生了什麼事,你可以答到的,可能不出十件,甚至只有一兩件事。震撼的地方在於,「十六歲那年」共有 365 日,而你竟然只講到不夠十件事情。「十六歲那年」對於一個「三十歲的人」來說,只一堆模糊的印象,記憶的疑團。

根據我的經驗,近乎只有一個情況,會令我真正明確回憶起,中學時代的某一件特定事件。那就是當收拾房間,整理一大堆物件的時候,偶然會見到那個時代的一些「紀念品」,例如 成績表、筆記、書籍、相片 和 電影戲票 等。

— Me@2012.10.03

2012.10.03 Wednesday (c) All rights reserved by ACHK

Paradox

Meta-time

para- (“above, beyond; abnormal”)

— Wiktionary

Paradox is PARAdox.        

Paradox is due to the mixing of para-level (meta-level) and original level.

— Me@2012-09-29 02:22:14 PM

… including the time-travel paradoxes.

As long as you put time-travel into a story, you mix the meta-time and the original time within that story. Thus time-travel paradoxes appear.

— Me@2012-10-01 10:33:05 AM

2012.10.01 Monday (c) All rights reserved by ACHK

Memory 4.2

Copy Me, 5

這段改編自 2010 年 4 月 3 日的對話。

.

怎樣才為之「同一個人」,或者「同一個自我」呢?

洛克(John Locke)的標準是,有同一個記憶,就為之同一個自我。

但是,即使是同一個人的記憶,又會隨時間 變形、增刪、篡改。如果用洛克的標準,我們平時所講「同一個人」之中的「同一」,只是幻覺。即使是「同一」個人,其實「自我」亦在不斷變化之中。例如,「十年前的我」和「現在的我」,並不是完全相同的「同一個人」。

— Me@2012.10.01

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2012.10.01 Monday (c) All rights reserved by ACHK

Meaningful 5

X is meaningful

= You can keep developing X

= X always has next steps

1. If you have a lot of good intellectual and social connections, you can keep having the next steps.

2. Action is a good way to create the next steps and decrease uncertainties. 

— Me@2012.05.14

2012.07.10 Tuesday (c) All rights reserved by ACHK

Emergent space and emergent time

General relativity has taught us that space and time should not be thought of as a static arena for other phenomena. Instead, they are dynamical players: the curvature of space and time tells matter how it should move, and matter influences spacetime’s curvature. But the lesson of quantum gravity and string theory in particular is more far-reaching: space and time do not have to exist at the very beginning – they are kind of illusions. Moreover, there can be many different illusionary geometries that emerge if we look at the same physical system.

Quantum mechanics guarantees that the concept of a completely smooth geometry is incompatible with quantum mechanics that make things fluctuate. But string theory goes much further. Geometric descriptions, such as general relativity, are only approximations valid at very long distances. At very short distances, comparable to the “length of the string” (string scale) or “the smallest meaningful black hole” (the Planck scale), physics does not admit a simple description in terms of usual geometry. Geometry is generalized to something much more grandiose, and the difference between geometry and matter disappears – this is the content of unification of gravity with other forces and matter.

— Emergent space and emergent time

— Lubos Motl

2012.06.01 Friday ACHK

藉口 2

「理由」是一個「決定」。

「原因」並不是一個「決定」。

「理由」是一個「決定」。「理由」是權衡輕重時,支持一個「決定」的一些考慮元素。由於是內在的主觀判斷,「理由」有所謂「充不充分」。一個「決定」沒有充分的「理由」,就為之「不合理」。

「原因」不是一個「決定」。「原因」和「結果」,只是客觀描述事件發生的時間先後次序。由於是外在的客觀事實,「原因」沒有所謂「合不合理」。

— Me@2012-04-26 10:42:10 AM

2012.04.30 Monday (c) All rights reserved by ACHK

同一部電腦 1.2

Windows, 3.2 | Copy Me, 4.2

這段改編自 2010 年 3 月 20 日的對話。

.

這就是重點是:那沒有一個,一定的標籤方法。那要視乎上文下理。相對於一個情境之下,哪一個標籤比較方便,就用那一個。

自我身份問題,有同樣的特性。如果我問「怎樣為之『同一個』自我」,雖然有一個,相對客觀的標籤方法,但都沒有一個,百份之一百,絕對客觀的標準答案。

例如,「十年前的我」和「今天的我」,外貌稍有不同,性格不盡相似,年齡天壤之別。那樣,他們還算不算是「同一個」自我呢?

除了「取最方便有用」的標籤方法以外,另一個可以使用的標準,是 DNA(遺傳基因)。「十年前的我」和「今天的我」,無論有多大不同,至起碼,「他們」的遺傳基因,會百份百相同。這就是我所指「相對客觀的標籤方法」。這亦大概可以說是,法律上的定義。

但是,孖生兄弟都可以「遺傳基因百份百相同」。但你總不可以把他們,定義為「同一個」人,因為他們根本是兩個人。或者說,他們可以同一刻時間,在兩個不同的地方出現。所以,即使用了遺傳基因的異同,來辨別「是否『同一個』人」,也未能給你「一個百份之一百,絕對客觀的標準答案」。

— Me@2012.04.29

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2012.04.29 Sunday (c) All rights reserved by ACHK

同一部電腦

Windows, 3 | Copy Me, 4

這段改編自 2010 年 3 月 20 日的對話。

.

怎樣為之「同一部」電腦呢?

假設你的電腦換了幾個零件,那就牽涉到 identity(身份)的問題。你的電腦應該視為「新的電腦」,還是「升級了的舊電腦」?換句話說,改裝以後,你的電腦應該視作「另一部電腦」,還是「原本的電腦」呢?

.

(安:那要視乎 換了多少東西 和 換了什麼東西。例如,如果你的電腦只是換了 keyboard(鍵盤),那就應該算是「同一部」電腦。如果你的電腦連 CPU(central processing unit 中央處理器)都換掉,那就應該算是「另一部」電腦。)

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那樣,如果我的電腦除了 CPU 以外,其他全部東西都換掉呢?你還叫它做「同一部」電腦嗎?

.

(安:那是灰色地帶,沒有一個絕對的標準答案。)

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這就是重點是:那沒有一個,一定的標籤方法。那要視乎上文下理。相對於一個情境之下,哪一個標籤比較方便,就用那一個。

自我身份問題,有同樣的特性。如果我問「怎樣為之『同一個』自我」,雖然有一個,相對客觀的標籤方法,但都沒有一個,百份之一百,絕對客觀的標準答案。

— Me@2012.04.26

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2012.04.26 Thursday (c) All rights reserved by ACHK

Portal

時空幻境 3

Portal is a 2007 single-player first-person puzzle-platform video game developed by Valve Corporation.

The game primarily comprises a series of puzzles that must be solved by teleporting the player’s character and simple objects using “the handheld portal device”, a device that can create inter-spatial portals between two flat planes.

By Kaini [CC-BY-SA-3.0], from Wikimedia Commons

The game’s unique physics allows momentum to be retained through portals, requiring creative use of portals to maneuver through the test chambers.

— Wikipedia on Portal (video game)

2012.04.21 Saturday ACHK