Alan Turing

摘要

Alan Mathison Turing（1912-06-23 生于伦敦，1954-06-07 死于氰化物中毒，验尸裁定自杀，终年 41 岁）——数学家、逻辑学家、计算机科学与人工智能的奠基人。24 岁在解决希尔伯特判定问题的论文里，他把"计算"定义为一个人用纸笔所做的机械操作，从而发明了通用机的概念——今天每一台计算机的数学原型；战时领导 Bletchley Park Hut 8 破译德国海军 Enigma；战后写出世界最早的存储程序计算机完整设计书（ACE 报告），随后在 1947-1952 年间用一篇论文、两份报告、两次 BBC 广播，几乎单枪匹马地建立了"机器能否思考"这个领域的全部基本问题、基本反驳与基本回应。

读他的一手文本，最一致的印象是一种把不可讨论的问题改写成可讨论的问题的本能。"机器能思考吗"无法定义，他就换成模仿游戏；"思考"无法定义，他就说那不过是"我脑袋里的一阵嗡嗡声"，然后把讨论推进下去。他不回避自己论证的薄弱——"我没有什么很有说服力的正面论据"是他自己写下的话——但他确信方向：

"We can only see a short distance ahead, but we can see plenty there that needs to be done."

"我们只能看清眼前很短的一段路，但那里已有足够多需要做的事。"

"Computing Machinery and Intelligence", Mind, 1950（全文最后一句）

他的一生同时是一份关于时代的档案：为国家立下最大战功却不能对任何人提起；1952 年因同性性行为被定罪、接受荷尔蒙注射以代监禁；他在给朋友的信里担心的不是自己，而是世人将用一个三段论——"Turing believes machines think / Turing lies with men / Therefore machines do not think"——来否定机器思考的学说。两年后他死去，没有遗书。他生前发表的最后一句话是：数学自身证明了"脱离常识支撑的纯粹'理性'"之不足。

一、生平时间线

第一章：Sherborne 与 Christopher Morcom——世界观的起点（1912–1931）

Turing 1912 年 6 月 23 日生于伦敦 Maida Vale，父亲供职于印度殖民政府文官系统，他与兄长在英国寄养家庭长大（公共记录）。1926 年入 Sherborne School；1927 年前后结识高一级的 Christopher Morcom——他的初恋与唯一挚友（此为各方档案公认事实；本章一手文本为 Turing 书信与随笔）。

1930 年 2 月 13 日，Morcom 死于牛结核。数日后 Turing 写给母亲的信里立下了他此后学术生命的誓言：

"I feel sure that I shall meet Morcom again somewhere and that there will be some work for us to do together."

"我确信我会在某处与 Morcom 重逢，而且会有一些工作等着我们一起去做。"

致母亲信，1930-02（转写异文："I feel that I shall meet..."，并接 "as there was for us to do here"）

他后来在追忆文字里写下的句子，保留了 18 岁的他看待这个朋友的全部方式：

"It never seems to have occurred to me to make other friends besides Morcom, he made everyone else seem so ordinary."

"我似乎从来没想过要在 Morcom 之外再交别的朋友——他让其他所有人都显得那么平常。"

Turing 私人信件/追忆文字，c.1930-32

此后数年他与 Morcom 的母亲保持通信。c.1932 年（20 岁前后），他写给 Morcom 夫人一篇短文《Nature of Spirit》——他一生世界观议题的起点文本：从量子力学的不确定性出发，为"意志"和"灵魂"寻找物理缺口。

"It used to be supposed in Science that if everything was known about the Universe at any particular moment then we can predict what it will be through all the future."

"科学界曾经认为，只要知道宇宙在某一时刻的全部状态，就能预测它此后的全部未来。"

"Nature of Spirit", c.1932

"More modern science however has come to the conclusion that when we are dealing with atoms and electrons we are quite unable to know the exact state of them; our instruments being made of atoms and electrons themselves."

"但更现代的科学已经得出结论：当我们面对原子和电子时，我们根本无法知道它们的确切状态——因为我们的仪器本身就是由原子和电子构成的。"

同上

"We have a will which is able to determine the action of the atoms probably in a small portion of the brain, or possibly all over it."

"我们拥有一个意志，它能够决定原子的行动——大概是在大脑的一小块区域里，也可能遍及整个大脑。"

同上

"As regards the question of why we have bodies at all; why we do not or cannot live free as spirits and communicate as such, we probably could do so but there would be nothing whatever to do. The body provides something for the spirit to look after and use."

"至于我们为什么要有身体——为什么我们不能或不去作为自由的灵魂生活和交流：我们大概是可以那样的，但那样就无事可做了。身体给了灵魂一个可以照料、可以使用的东西。"

同上

1933 年 4 月他致 Morcom 夫人的信，是这套少年灵魂论的日常版本：

"It reminds us that Chris is in some way alive now. One is perhaps too inclined to think only of him alive at some future time when we shall meet him again; but it is really so much more helpful to think of him as just separated from us for the present."

"它提醒我们，Chris 此刻以某种方式活着。人们也许太容易只想着将来某个重逢之日的他；但把他想成只是暂时与我们分开，其实有益得多。"

致 Mrs. Morcom 信，1933-04-20（原信 "alive now" 有下划线强调）

[推断] 把这份 20 岁的文本与他 1950 年代的立场并读（见"深度洞察·世界观"），可以看到一条清晰的弧线：同一个人，从"用量子不确定性给灵魂留缺口"，走到"自由意志可能是幻觉、也可能真有但无法从行为分辨"的悬置，再走到把"机器有没有感受"与"他人有没有心灵"归为同一个不可知问题。他后来放弃了灵魂论（这是学界公认判断，非一手文本），但用物理学语言处理终极问题的习惯保持了一生，直到死前三个月的明信片。

第二章：Cambridge 与"On Computable Numbers"——把'计算'定义为人的动作（1931–1938）

1931 年入 King's College, Cambridge 读数学，1935 年（22 岁）当选 King's Fellow（公共记录）。1936 年 5 月 28 日，《On Computable Numbers, with an Application to the Entscheidungsproblem》投稿伦敦数学会——这篇解决希尔伯特判定问题的论文，顺手发明了现代计算机的数学模型。

论文的开篇定义朴素到几乎不像一个划时代概念的出生证明：

"The 'computable' numbers may be described briefly as the real numbers whose expressions as a decimal are calculable by finite means."

"可计算'数可以简述为：其十进制展开能用有限手段算出的实数。"

"On Computable Numbers", 1936

"According to my definition, a number is computable if its decimal can be written down by a machine."

"按照我的定义，一个数是可计算的，当且仅当它的十进制展开可以由一台机器写下来。"

同上

"No real attempt will be made to justify the definitions given until we reach § 9. For the present I shall only say that the justification lies in the fact that the human memory is necessarily limited."

"在到达第 9 节之前，我不会真正尝试为这些定义辩护。眼下我只说一句：辩护的根据在于，人类的记忆必然是有限的。"

"On Computable Numbers", 1936

"We may compare a man in the process of computing a real number to a machine which is only capable of a finite number of conditions."

"我们可以把一个正在计算实数的人，比作一台只能处于有限多个状态的机器。"

同上（"machine"一词由此进入这套数学）

"Computing is normally done by writing certain symbols on paper. We may suppose this paper is divided into squares like a child's arithmetic book."

"计算通常是通过在纸上写符号完成的。我们可以设想这张纸像小孩的算术本一样被分成方格。"

同上 §9

他论证"符号必须有限"的方式极其具体——具体到用肉眼数不清一长串 9：

"The differences from our point of view between the single and compound symbols is that the compound symbols, if they are too lengthy, cannot be observed at one glance. This is in accordance with experience. We cannot tell at a glance whether 9999999999999999 and 999999999999999 are the same."

"在我们看来，单一符号与复合符号的区别在于：复合符号如果太长，就无法一眼看清。这符合经验——我们无法一眼分辨 9999999999999999 和 999999999999999 是不是同一个数。"

同上

"The behaviour of the computer at any moment is determined by the symbols which he is observing, and his 'state of mind' at that moment."

"计算员在任一时刻的行为，由他正在观察的符号和他那一刻的'心智状态'决定。"

同上（此处 "computer" 指做计算的人）

十一年后他自己用一句话概括了这项工作的结论：

"One of my conclusions was that the idea of a 'rule of thumb' process and a 'machine process' were synonymous."

"我的结论之一是：'照章办事的过程'与'机器过程'这两个概念是同义的。"

Lecture to the London Mathematical Society, 1947-02-20

1936-38 年他在 Princeton 随 Alonzo Church 读博士（公共记录），1939 年博士论文期刊版《Systems of Logic Based on Ordinals》刊出——其中"直觉与机巧"的二分是他对数学思维最系统的一手分析（见"深度洞察·如何做研究"）。

第三章：Bletchley Park——一手材料几乎完全空白的六年（1939–1945）

1939 年 9 月，对德宣战次日，Turing 到 Bletchley Park 政府密码学校报到，后任 Hut 8（德国海军 Enigma）负责人；1941 年与同事 Joan Clarke 订婚后解除；1942-43 年赴美联络（以上均为公共记录）。

这六年在一手公开材料中几乎是纯粹的空白。 他战时的技术文书（Enigma 论文、Bombe 备忘录）虽已解密存档，但均为纯密码技术、不涉自述；曼彻斯特大学 2017 年公布的 148 份他 1949-54 年的信件中，战时工作只字未提。保密之彻底，从他 1952 年给朋友 Norman Routledge 的信里可见——对方问工作机会，他对自己的战时岁月只能说到这个程度：

"I don't think I really do know much about jobs, except the one I had during the war, and that certainly did not involve any travelling. ... It certainly involved a good deal of hard thinking, but whether you'd be interested I don't know."

"工作的事我想我其实懂得不多，除了战时干的那份——那份工作肯定不需要出差。……它确实需要大量艰苦的思考，但你会不会感兴趣我就不知道了。"

致 Norman Routledge 信，1952

唯一实质性的例外，是 1941 年 10 月 21 日一封绕过全部层级、直接写给丘吉尔的信——Turing 领衔，Welchman、Alexander、Milner-Barry 联署。它不是个人自白，却是理解他（们）如何看待组织与责任的珍贵文本。

"Our reason for writing to you direct is that for months we have done everything that we possibly can through the normal channels, and that we despair of any early improvement without your intervention."

"我们直接写信给您的原因是：几个月来我们已在正常渠道内做了一切能做的事，而且我们已经绝望——没有您的干预，短期内不会有任何改善。"

致丘吉尔信，1941-10-21

"The trouble to our mind is that as we are a very small section with numerically trivial requirements it is very difficult to bring home to the authorities finally responsible either the importance of what is done here or the urgent necessity of dealing promptly with our requests."

"在我们看来，问题在于：我们是一个很小的部门、需求在数字上微不足道，因此很难让最终负责的当局明白这里所做工作的重要性，也很难让他们明白及时处理我们请求的紧迫性。"

同上

"The effect of this is that the finding of the naval keys is being delayed at least twelve hours every day. In order to enable him to start night shifts again Freeborn needs immediately about twenty more untrained Grade III women clerks."

"其后果是：海军密钥的破解每天被延误至少十二小时。为了让 Freeborn 能重开夜班，他现在立刻需要约二十名未经训练的三级女文员。"

同上

"We have written this letter entirely on our own initiative. We do not know who or what is responsible for our difficulties."

"这封信完全出于我们自己的主动。我们不知道该为我们的困难负责的是谁、是什么。"

同上

[推断] 这封信是理解 Turing 式组织观的最好样本：不指控任何人、只陈述事实链（缺 20 个文员 → 每天延误 12 小时 → 大西洋战场代价）；对"小部门在大系统中必然被忽视"的结构性诊断冷静得像在分析一台机器。这与他 1947 年预言"从业者会用精心挑选的行话把工作包裹在神秘里以抵制自动化"（见第四章）出自同一双看组织的眼睛。

战时经验在他后来的公开文字里只留下一个影子——1948 年报告里那个著名的类比，把密码学与物理学并置：

"There is a remarkably close parallel between the problems of the physicist and those of the cryptographer. The system on which a message is enciphered corresponds to the laws of the universe, the intercepted messages to the evidence available, the keys for a day or a message to important constants which have to be determined."

"物理学家的问题与密码学家的问题之间有一种惊人的相似。加密报文所用的系统对应于宇宙的法则，截获的报文对应于可得的证据，而某一天或某一份报文的密钥，对应于那些有待测定的重要常数。"

"Intelligent Machinery", 1948（他公开文字中最接近战时经验的一段）

第四章：NPL 与 ACE——机器智能纲领成形（1945–1948）

1945 年战争结束，Turing 加入国家物理实验室（NPL），年底完成《Proposed Electronic Calculator》（ACE 报告）——世界最早的存储程序计算机完整设计书（公共记录 + 报告原文）。在这份硬件设计书的技术章节之间，他突然发问"机器能下棋吗"，并埋下了他此后一切 AI 论述的种子——智能与犯错的交换：

"There are indications however that it is possible to make the machine display intelligence at the risk of its making occasional serious mistakes. By following up this aspect the machine could probably be made to play very good chess."

"但有迹象表明：让机器展现智能是可能的——代价是它偶尔会犯下严重的错误。沿着这个方向走下去，大概可以让机器把棋下得非常好。"

ACE 报告（"Proposed Electronic Calculator"），1945

1947 年 2 月 20 日，他在伦敦数学会做了一场面向未来的演讲——很可能是历史上第一次公开讨论"计算机智能"的演讲。他先回溯自己 1936 年的工作（"ACE 可以被视为这同一类型机器的实用版本"），然后给出一连串在当时近乎科幻的判断。存储优先于速度：

"I believe that the provision of proper storage is the key to the problem of the digital computer, and certainly if they are to be persuaded to show any sort of genuine intelligence much larger capacities than are yet available must be provided. In my opinion this problem of making a large memory available at reasonably short notice is much more important than that of doing operations such as multiplication at high speed."

"我相信，配备适当的存储是数字计算机问题的关键；如果要说服它们表现出任何真正的智能，就必须提供比现有大得多的容量。在我看来，让大容量记忆能够在合理的短时间内随取随用，这个问题远比高速做乘法之类的运算更重要。"

LMS 演讲，1947-02-20

远程终端（1947 年预言分时与远程访问）：

"This will not necessitate everyone interested in such work having an electronic computer. It would be quite possible to arrange to control a distant computer by means of a telephone line."

"这并不意味着每个对这类工作感兴趣的人都得有一台电子计算机。完全可以安排通过电话线控制一台远处的计算机。"

同上

以及智能的判据——学生超过老师：

"It would be like a pupil who had learnt much from his master, but had added much more by his own work. When this happens I feel that one is obliged to regard the machine as showing intelligence."

"那就像一个学生：从老师那里学到很多，但通过自己的工作增添了更多。当这种情况发生时，我认为我们不得不承认这台机器展现了智能。"

同上

1948 年夏，他写出报告《Intelligent Machinery》——实质上是历史上第一份 AI 研究纲领（neural-network 式的"未组织机器"、遗传/进化搜索、奖惩训练、图灵测试雏形全部在内）。报告被他的上司 Charles Darwin（同名科学家之孙）斥为"schoolboy essay"压下，生前未刊（发表史为公共记录；下引均为报告原文）。开篇即立题：

"I propose to investigate the question as to whether it is possible for machinery to show intelligent behaviour. It is usually assumed without argument that it is not possible."

"我准备考察这样一个问题：机器是否可能表现出智能行为。人们通常不加论证地假定这不可能。"

"Intelligent Machinery", 1948

"If we are trying to produce an intelligent machine, and are following the human model as closely as we can, we should begin with a machine with very little capacity ... Then by applying appropriate interference, mimicking education, we should hope to modify the machine until it could be relied on to produce definite reactions to certain commands."

"如果我们想造出一台智能机器，并尽可能贴近人类这个范本，那就应该从一台能力极少的机器开始……然后施加适当的干预、模仿教育，希望借此改造这台机器，直到可以指望它对某些指令做出确定的反应。"

"Intelligent Machinery", 1948

"All of this suggests that the cortex of the infant is an unorganized machine, which can be organized by suitable interfering training."

"这一切都提示：婴儿的皮层是一台未组织的机器，可以通过适当的干预训练把它组织起来。"

同上

"The training of the human child depends largely on a system of rewards and punishments, and this suggests that it ought to be possible to carry through the organizing with only two interfering inputs, one for 'pleasure' or 'reward' (R) and the other for 'pain' or punishment' (P)."

"人类儿童的训练在很大程度上依赖一套奖惩系统。这提示：应该有可能只用两个干预输入完成组织化——一个代表'快乐'或'奖励'（R），另一个代表'痛苦'或'惩罚'（P）。"

同上

"I have investigated a particular type of pleasure-pain system, which I will now describe."

"我研究了一种特定类型的快乐-痛苦系统，下面就来描述它。"

同上（他不是在提议——他已经动手做了）

第五章：Manchester——公开论战的三年（1948–1952）

1948 年 5 月他转赴 Manchester 大学计算实验室任副主任（公共记录）。1950 年 10 月，《Computing Machinery and Intelligence》在哲学期刊 Mind 发表——这篇论文的结构本身就是他思维方式的展览：先把不可定义的问题替换成可操作的游戏，再亲手列出对自己立场最强的九条反驳并逐一回应，最后承认自己"没有很有说服力的正面论据"、转而给出研究纲领。

"I propose to consider the question, 'Can machines think?' This should begin with definitions of the meaning of the terms 'machine' and 'think.' The definitions might be framed so as to reflect so far as possible the normal use of the words, but this attitude is dangerous."

"我准备考察'机器能思考吗'这个问题。这本该从定义'机器'和'思考'这两个词的含义开始。定义可以设计得尽量贴合这些词的日常用法，但这种态度是危险的。"

"Computing Machinery and Intelligence", 1950（全文第一段）

"If the meaning of the words 'machine' and 'think' are to be found by examining how they are commonly used it is difficult to escape the conclusion that the meaning and the answer to the question, 'Can machines think?' is to be sought in a statistical survey such as a Gallup poll. But this is absurd."

"如果'机器'和'思考'的含义要靠考察它们的通常用法来确定，那就很难逃脱这样的结论：'机器能思考吗'的含义与答案，要到盖洛普民意调查之类的统计里去找。但这是荒谬的。"

同上

1951 年 3 月他当选皇家学会院士（公共记录）；5 月 15 日在 BBC 第三台播出个人广播《Can Digital Computers Think?》；约同期在曼彻斯特的 '51 Society 做了题为《Intelligent Machinery, A Heretical Theory》的演讲——"异端理论"是他的自称。1952 年 1 月，他与 Max Newman、脑外科医生 Geoffrey Jefferson、哲学家 Richard Braithwaite 录制 BBC 四人圆桌《Can Automatic Calculating Machines Be Said To Think?》——已知最早的 AI 广播圆桌（录音均被 BBC 销毁，仅存讲稿；下文引語均出自讲稿/转录）。这三年的公开论述构成了"深度洞察"部分的主体。

第六章：审判、形态发生学与最后的文字（1952–1954）

1952 年初，Turing 因与一名男子的关系被控"严重猥亵"（gross indecency）；3 月 31 日定罪，他选择接受一年荷尔蒙注射（雌激素）以代监禁（公共记录）。他对此事唯一广为流传的一手自述，是审判前后写给国王学院同人、数学家 Norman Routledge 的信：

"I've now got myself into the kind of trouble that I have always considered to be quite a possibility for me, though I have usually rated it at about 10:1 against. I shall shortly be pleading guilty to a charge of sexual offences with a young man."

"我现在陷入了那种我一直认为对我而言完全可能的麻烦——虽然我通常把赔率估在大约 10 比 1 的不利面。我很快将对一项与一名年轻男子有关的性罪行指控认罪。"

致 Norman Routledge 信，1952

"The story of how it all came to be found out is a long and fascinating one, which I shall have to make into a short story one day, but haven't the time to tell you now. No doubt I shall emerge from it all a different man, but quite who I've not found out."

"这一切如何败露的经过，是个漫长而引人入胜的故事，哪天我得把它写成短篇小说，但现在没时间讲给你听。毫无疑问，我会从这一切里走出来，变成另一个人——至于是谁，我还没弄清楚。"

同上

这封信最惊人的地方在于：面对定罪，他真正担心的是他的学说——担心世人用他的罪名否定机器思考论。他自己把这个担忧写成了三段论：

"I'm afraid that the following syllogism may be used by some in the future. Turing believes machines think Turing lies with men Therefore machines do not think"

"恐怕将来有人会使用下面这个三段论： Turing 相信机器思考 Turing 与男人同眠 所以机器不思考"

同上（落款 "Yours in distress, Alan"——"你苦恼的 Alan"）

同年他的《The Chemical Basis of Morphogenesis》在皇家学会哲学汇刊发表——从可计算性、密码学、计算机设计到 AI 之后，他的第四个领域：用反应-扩散方程解释生物形态如何从均匀中自发产生（斑纹、触手、叶序）。论文开头的自我说明展示了他跨界的自觉（引文见"深度洞察·如何做研究"）。

1953 年他为 Bowden 主编的《Faster Than Thought》撰写国际象棋一章，其中对"机器有没有感受"给出了他一生的最终立场（见"深度洞察·世界观"）。1953 年 4 月，他回复一封美国会议邀请，全文一句话：

"I would not like the journey, and I detest America."

"我不会喜欢这趟旅程，而且我厌恶美国。"

致美国会议邀请的回信，1953-04（曼彻斯特大学 2017 年公布的 148 份文件之一）

1954 年 2 月，他生前最后一篇文章《Solvable and Unsolvable Problems》在 Penguin《Science News》发表——一篇用滑块谜题和绳结讲不可判定性的科普文。3 月，他给学生兼挚友 Robin Gandy 寄出四张总题为 "Messages from the Unseen World" 的明信片，其中一张写着：

"III. The Universe is the interior of the Light Cone of the Creation IV. Science is a Differential Equation. Religion is a Boundary Condition."

"三、宇宙是创世光锥的内部 四、科学是一个微分方程。宗教是一个边界条件。"

致 Robin Gandy 明信片，1954-03（戏署 "Arthur Stanley"，指天体物理学家 Eddington；页边另写有一句"？引力常数是否在减小？"）

1954 年 6 月 7 日，他在家中死于氰化物中毒，次日被发现；验尸裁定自杀。没有遗书（公共记录）。他发表生涯的最后一段话，出自 1954 年 2 月那篇科普文：

"The results which have been described in this article are mainly of a negative character, setting certain bounds to what we can hope to achieve purely by reasoning. These, and some other results of mathematical logic may be regarded as going some way towards a demonstration, within mathematics itself, of the inadequacy of 'reason' unsupported by common sense."

"本文所描述的结果主要是否定性的：它们为我们凭纯粹推理所能企及的东西划定了某些界限。这些结果，连同数理逻辑的另一些结果，可以被看作是在数学内部，朝着证明'脱离常识支撑的理性'之不足，走出了一段路。"

"Solvable and Unsolvable Problems", 1954-02

二、深度洞察

1. 机器能否思考：先拒绝定义，再替换问题

Turing 处理"机器能否思考"的第一步，是拒绝在"思考"的定义上耗死。1952 年 BBC 圆桌上，哲学家 Braithwaite 开场就要定义，他的回答成了名句：

"I don't want to give a definition of thinking, but if I had to I should probably be unable to say anything more about it than that it was a sort of buzzing that went on inside my head. But I don't really see that we need to agree on a definition at all."

"我不想给思考下定义。真要下的话，我大概只能说：那是一种在我脑袋里进行的嗡嗡声。但我实在不觉得我们需要就定义达成一致。"

BBC 圆桌 "Can Automatic Calculating Machines Be Said To Think?", 1952-01

代替定义的是划界——分清我们关心的性质和不关心的性质。他举的极端例子是脑子的物理质地：

"To take an extreme case, we are not interested in the fact that the brain has the consistency of cold porridge. We don't want to say 'This machine's quite hard, so it isn't a brain, and so it can't think."

"举个极端的例子：我们并不关心'大脑的质地像冷粥'这件事。我们不想说：'这台机器挺硬的，所以它不是大脑，所以它不能思考。"

同上

于是有了模仿游戏。值得注意的是他自己对测试地位的克制表述——它不是真理判据，只是把问题换成可以讨论的形式：

"Well, that's my test. Of course I am not saying at present either that machines really could pass the test, or that they couldn't. My suggestion is just that this is the question we should discuss."

"好，这就是我的测试。当然，我现在既不是说机器真能通过测试，也不是说它们不能。我的建议只是：这才是我们应该讨论的问题。"

同上

测试的规则精神是公平——剥离一切与智力无关的因素：

"We do not wish to penalise the machine for its inability to shine in beauty competitions, nor to penalise a man for losing in a race against an aeroplane. The conditions of our game make these disabilities irrelevant."

"我们不想因为机器无法在选美比赛中出彩而惩罚它，也不想因为人跑不过飞机而惩罚人。我们游戏的条件让这些缺陷变得无关紧要。"

"Computing Machinery and Intelligence", 1950

他也亲手写下了对这个测试的最强异议——并给出自己的回应：

"May not machines carry out something which ought to be described as thinking but which is very different from what a man does? This objection is a very strong one, but at least we can say that if, nevertheless, a machine can be constructed to play the imitation game satisfactorily, we need not be troubled by this objection."

"机器难道不可能进行某种应当被称为思考、却与人的思考非常不同的活动吗？这个反驳非常有力。但至少可以说：如果尽管如此，仍能造出一台把模仿游戏玩得令人满意的机器，那这个反驳就不必再困扰我们。"

同上

他的正面立场，在 1951 年的个人广播里说得最直接：

"I shall give most attention to the view which I hold myself, that it is not altogether unreasonable to describe digital computers as brains."

"我将把最多的注意力放在我本人持有的观点上：把数字计算机描述为大脑，并非全然没有道理。"

BBC "Can Digital Computers Think?", 1951-05-15

"My contention is that machines can be constructed which will simulate the behaviour of the human mind very closely. They will make mistakes at times, and at times they may make new and very interesting statements, and on the whole the output of them will be worth attention to the same sort of extent as the output of a human mind."

"我的主张是：可以造出这样的机器，它们将非常逼近地模拟人类心智的行为。它们有时会犯错，有时会说出新颖而非常有趣的东西；总体而言，它们的输出将值得关注——其程度与人类心智的输出属于同一档。"

"Intelligent Machinery, A Heretical Theory", c.1951

而整场事业的谜底，他在 1952 年圆桌上用两句话说破——思考 = 我们尚不理解的心智过程：

"As soon as one can see the cause and effect working themselves out in the brain, one regards it as not being thinking, but a sort of unimaginative donkey-work. From this point of view one might be tempted to define thinking as consisting of 'those mental processes that we don't understand'."

"一旦人们能看清大脑里因果如何运作，就不再把它当作思考，而看成一种毫无想象力的驴子活。从这个角度看，人们也许会忍不住把思考定义为'那些我们尚不理解的心智过程'。"

BBC 圆桌, 1952-01

"If this is right then to make a thinking machine is to make one which does interesting things without our really understanding quite how it is done."

"如果这是对的，那么制造一台思考机器，就是制造一台做出有趣事情、而我们并不真正理解它是如何做到的机器。"

同上

2. 预测：五十年、一百年、一千年——三档时间表

Turing 对 AI 的预测有清晰的层级，把它们并读才能看到他真实的判断。第一档：五十年内，骗过普通问询者五分钟——

"I believe that in about fifty years' time it will be possible to programme computers, with a storage capacity of about 10^9, to make them play the imitation game so well that an average interrogator will not have more than 70 per cent chance of making the right identification after five minutes of questioning."

"我相信大约五十年后，将有可能为存储容量约 10^9 的计算机编程，让它们把模仿游戏玩得如此之好，以至于普通问询者在五分钟提问后做出正确辨认的机会不超过 70%。"

"Computing Machinery and Intelligence", 1950

以及语言与观念的世纪末预言：

"The original question, 'Can machines think?' I believe to be too meaningless to deserve discussion. Nevertheless I believe that at the end of the century the use of words and general educated opinion will have altered so much that one will be able to speak of machines thinking without expecting to be contradicted."

"机器能思考吗'这个原始问题，我认为无意义到不值得讨论。尽管如此，我相信到本世纪末，词语的用法和一般受教育者的观念将发生如此大的变化，以至于人们谈论机器思考时将不再预期遭到反驳。"

同上

第二档出现在 1952 年圆桌：Newman 说想亲临机器真正通过无限制提问的现场、"但那将是很久以后"，Turing 应声——

"Oh yes, at least 100 years, I should say."

"哦是的，我得说，至少一百年。"

BBC 圆桌, 1952-01

[推断] 两档预测并不矛盾：他区分了"五分钟内骗过普通人"（弱测试，五十年）与"无限制提问下真正过关"（强测试，至少百年）。以 2026 年回望，两档校准都惊人地体面。

第三档是物种层面的。1951 年广播里，他讨论了"关电源"式的控制手段，随即指出即便如此，人类的自尊已经保不住：

"If a machine can think, it might think more intelligently than we do, and then where should we be? Even if we could keep the machines in a subservient position, for instance by turning off the power at strategic moments, we should, as a species, feel greatly humbled."

"如果机器能思考，它可能比我们想得更聪明——那我们将置身何地？即便我们能让机器处于从属地位，比如在关键时刻切断电源，作为一个物种，我们也将深感谦卑。"

BBC "Can Digital Computers Think?", 1951-05-15

"But this new danger is much closer. If it comes at all it will almost certainly be within the next millenium. It is remote but not astronomically remote, and is certainly something which can give us anxiety."

"但这个新危险要近得多。如果它真会到来，几乎肯定在下一个千年之内。它遥远，但不是天文数字般遥远，而且确实是能给我们带来焦虑的事。"

同上

同年的 '51 Society 演讲里，这个判断被推到最直白的形式——他一生对"机器超越人类"最不设防的一次表述：

"It is probable though that the intellectuals would be mistaken about this. There would be plenty to do, [trying to understand what the machines were trying to say,] i.e. in trying to keep one's intelligence up to the standard set by the machines, for it seems probable that once the machine thinking method had started, it would not take long to outstrip our feeble powers."

"不过知识分子们在这一点上很可能想错了。到时有的是事可做——[比如努力理解机器想说什么，]也就是努力让自己的智力跟上机器设定的标准。因为看起来很可能：一旦机器思考的方法启动起来，用不了多久就会超出我们孱弱的能力。"

"Intelligent Machinery, A Heretical Theory", c.1951（方括号句为原打字稿手写边注）

"There would be no question of the machines dying, and they would be able to converse with each other to sharpen their wits. At some stage therefore we should have to expect the machines to take control, in the way that is mentioned in Samuel Butler's 'Erewhon'."

"机器不存在死亡的问题，而且它们将能彼此交谈以砥砺才智。因此在某个阶段，我们将不得不预期机器取得控制权——以 Samuel Butler 的《Erewhon》里提到的那种方式。"

同上（演讲结尾）

值得与这些大胆预测并置的，是他一贯的认知谦逊。1951 年广播的预测句后紧跟着一句：

"This only represents my opinion; there is plenty of room for others."

"这只代表我的看法；还有大量空间留给别的看法。"

BBC "Can Digital Computers Think?", 1951-05-15

而对惯例式的安慰，他明确拒绝供应：

"It is customary, in a talk or article on this subject, to offer a grain of comfort, in the form of a statement that some particularly human characteristic could never be imitated by a machine. ... I cannot offer any such comfort, for I believe that no such bounds can be set."

"在这个主题的演讲或文章里，惯例是提供一粒安慰——宣称某种特别人性的特质永远无法被机器模仿。……我无法提供任何这样的安慰，因为我相信不存在这样的界限。"

同上

3. 与全世界辩论：他如何回应反对者

1950 年论文的主体是九条反驳与回应——他先替对手把论点写到最强，再拆。1948 年报告则先做了一层更深的分析：人们为什么拒绝这个可能性。最锋利的一条指向知识分子自己：

"An unwillingness to admit the possibility that mankind can have any rivals in intellectual power. This occurs as much amongst intellectual people as amongst others: they have more to lose."

"不愿承认人类在智力上可能有任何对手。这种心态在知识分子中间不比在别人中间少：他们输的东西更多。"

"Intelligent Machinery", 1948

"A religious belief that any attempt to construct such machines is a sort of Promethean irreverence."

"一种宗教式的信念：任何建造这种机器的尝试，都是某种普罗米修斯式的不敬。"

同上

对这两条他拒绝正面驳斥——理由本身是一个洞察：

"The objections (a) and (b), being purely emotional, do not really need to be refuted. If one feels it necessary to refute them there is little to be said that could hope to prevail, though the actual production of the machines would probably have some effect."

"反对意见 (a) 和 (b) 纯属情绪，其实不需要反驳。如果非要反驳，也说不出多少有望奏效的话——倒是把机器真正造出来，大概会有些效果。"

同上

对神学反驳（"思考是不朽灵魂的功能"），他先声明立场，再进入对方的术语内部作战：

"I am unable to accept any part of this, but will attempt to reply in theological terms."

"这个论证我一个字都无法接受，但我将尝试用神学的语言来回应。"

"Computing Machinery and Intelligence", 1950

"In attempting to construct such machines we should not be irreverently usurping His power of creating souls, any more than we are in the procreation of children: rather we are, in either case, instruments of His will providing mansions for the souls that He creates."

"尝试建造这样的机器，并不是不敬地僭取祂创造灵魂的权柄——正如生育子女不是；毋宁说，在这两种情形里，我们都是祂意志的工具，为祂所造的灵魂预备居所。"

同上

"However, this is mere speculation. I am not very impressed with theological arguments whatever they may be used to support. Such arguments have often been found unsatisfactory in the past. In the time of Galileo it was argued that the texts, 'And the sun stood still ...' (Joshua x. 13) ... were an adequate refutation of the Copernican theory."

"不过，这只是玄想。神学论证无论被用来支持什么，都不太能打动我。这类论证在历史上屡屡被发现站不住脚。伽利略的时代，人们曾主张'太阳就停住……'（《约书亚记》10:13）这类经文足以驳倒哥白尼学说。"

同上

对"鸵鸟式"反驳（"机器思考的后果太可怕了，但愿它们不能"），他的回应只有一句，却是全文最冷的幽默：

"I do not think that this argument is sufficiently substantial to require refutation. Consolation would be more appropriate: perhaps this should be sought in the transmigration of souls."

"我不认为这个论证有足够的实质内容值得反驳。更合适的是安慰：也许可以到灵魂转世里去寻。"

同上

对意识反驳（Jefferson："除非机器能因感受到的思想与情感而写出十四行诗"），他把它推到逻辑终点——唯我论：

"According to the most extreme form of this view the only way by which one could be sure that machine thinks is to be the machine and to feel oneself thinking. ... Likewise according to this view the only way to know that a man thinks is to be that particular man. It is in fact the solipsist point of view. ... Instead of arguing continually over this point it is usual to have the polite convention that everyone thinks."

"按这种观点最极端的形式，要确认机器在思考，唯一的办法是成为那台机器、并感到自己在思考。……同样按这种观点，要知道一个人在思考，唯一的办法是成为那个人。这实际上就是唯我论的立场。……与其在这一点上无休止地争论，通常的做法是保持一个礼貌的约定：人人都会思考。"

同上

但他并不借机否认意识之谜——这一保留很重要：

"I do not wish to give the impression that I think there is no mystery about consciousness. There is, for instance, something of a paradox connected with any attempt to localise it. But I do not think these mysteries necessarily need to be solved before we can answer the question with which we are concerned in this paper."

"我不想给人留下'我认为意识毫无神秘可言'的印象。比如，任何试图给意识定位的努力都带着某种悖论。但我不认为这些谜必须先被解开，我们才能回答本文关心的问题。"

同上

对"机器做不到 X"式反驳，他先照单全收地列出清单——善良、机智、美丽、友好、有主动性、有幽默感、明辨是非、犯错、坠入爱河、享用草莓奶油、让人爱上它、从经验中学习、正确使用词语、以自身为思考对象、行为像人一样多样、做真正新的事——然后指出这类断言的来源是坏归纳：

"I believe they are mostly founded on the principle of scientific induction. A man has seen thousands of machines in his lifetime. From what he sees of them he draws a number of general conclusions. They are ugly, each is designed for a very limited purpose, ... Naturally he concludes that these are necessary properties of machines in general."

"我相信这些断言大多建立在科学归纳法之上。一个人一生见过几千台机器，从所见中得出一批一般结论：它们丑陋、每台都为极有限的目的而设计……他自然而然地断定，这些是机器的普遍必然属性。"

同上

"Otherwise we may (as most English children do) decide that everybody speaks English, and that it is silly to learn French."

"否则我们就会（像大多数英国小孩那样）断定：所有人都说英语，学法语是傻事。"

同上

对 Lady Lovelace 的反驳（"分析机毫无原创的野心，它只能做我们知道如何命令它做的事"），他的回应分两层。第一层是经验事实加自嘲：

"Machines take me by surprise with great frequency. This is largely because I do not do sufficient calculation to decide what to expect them to do, or rather because, although I do a calculation, I do it in a hurried, slipshod fashion, taking risks."

"机器高频率地让我吃惊。这主要是因为我没做足够的计算去断定该期待它们做什么——或者说，虽然做了计算，却做得匆忙、草率、冒着风险。"

同上

第二层指出谬误的根源——"事实的全部后果会与事实同时涌入心灵"这个假设是假的：

"The view that machines cannot give rise to surprises is due, I believe, to a fallacy to which philosophers and mathematicians are particularly subject. This is the assumption that as soon as a fact is presented to a mind all consequences of that fact spring into the mind simultaneously with it. It is a very useful assumption under many circumstances, but one too easily forgets that it is false."

"机器不可能带来惊讶'这个观点，我相信源于一个哲学家和数学家特别容易犯的谬误：假设一个事实一旦呈现给心灵，它的全部后果就与它同时涌入心灵。这个假设在许多场合非常有用，但人们太容易忘记它是假的。"

同上

1951 年广播里他为"机器原创"补上了种子发芽的类比：

"One does not need to be able to understand how these orders lead to the machine's subsequent behaviour, any more than one needs to understand the mechanism of germination when one puts a seed in the ground. The plant comes up whether one understands or not."

"人不需要理解这些指令如何导致机器后来的行为——正如把种子埋进土里的人不需要理解发芽的机制。不管你懂不懂，植物都会长出来。"

BBC "Can Digital Computers Think?", 1951

"If we give the machine a program which results in its doing something interesting which we had not anticipated I should be inclined to say that the machine had originated something, rather than to claim that its behaviour was implicit in the programme, and therefore that the originality lies entirely with us."

"如果我们给机器一个程序，结果它做出了我们未曾预料的有趣的事，我倾向于说：是机器原创了某种东西——而不是宣称它的行为早已隐含在程序里、所以原创性完全属于我们。"

同上

对哥德尔式的数学反驳（机器必有回答不了的问题），他的回应奠定了一个贯穿一生的公式。1947 年版：

"Against it I would say that fair play must be given to the machine. Instead of it sometimes giving no answer we could arrange that it gives occasional wrong answers. But the human mathematician would likewise make blunders when trying out new techniques."

"对此我要说：必须给机器公平的对待。与其让它有时给不出答案，我们可以安排它偶尔给出错误答案。而人类数学家在尝试新技巧时同样会犯错。"

LMS 演讲, 1947-02-20

"In other words then, if a machine is expected to be infallible, it cannot also be intelligent. There are several mathematical theorems which say almost exactly that."

"换句话说：如果指望一台机器不犯错，它就不可能同时是智能的。有好几条数学定理说的几乎就是这件事。"

同上

1950 年版则把人类的得意戳破：

"We too often give wrong answers to questions ourselves to be justified in being very pleased at such evidence of fallibility on the part of the machines. ... In short, then, there might be men cleverer than any given machine, but then again there might be other machines cleverer again, and so on."

"我们自己回答问题时错得太频繁，实在没有资格因机器也会犯错的证据而洋洋自得。……简言之，可能有比任何给定机器更聪明的人，但同样可能有更聪明的另一台机器，如此往复。"

"Computing Machinery and Intelligence", 1950

1953 年，他把"机器下不过设计它的人"这类流行断言与另一个同构的断言并置，完成了他最漂亮的一次修辞：

"This statement should I think be compared with another of rather similar form. 'No animal can swallow an animal heavier than himself.' Both statements are, so far as I know, untrue."

"我认为这个断言应当与另一个形式相似的断言对照来看：'没有动物能吞下比自己更重的动物。'据我所知，这两个断言都不成立。"

"Chess"（收录于 Faster Than Thought），1953

"They are also both of a kind that one is rather easily bluffed into accepting, partly because one thinks that there ought to be some rather slick way of demonstrating them, and one does not like to admit that one does not see what this argument is."

"而且这两个断言都属于那种人们很容易被唬住而接受的类型——部分原因是人们觉得应该存在某种干净利落的证明方式，而又不愿承认自己其实看不出那个论证是什么。"

同上

最后必须记录他论证诚实的一面。在拆完九条反驳之后，他在 1950 年论文里写下的是：

"The reader will have anticipated that I have no very convincing arguments of a positive nature to support my views. If I had I should not have taken such pains to point out the fallacies in contrary views."

"读者想必已经料到：我并没有什么很有说服力的正面论据来支持我的观点。如果有，我就不会如此费力地指出相反观点中的谬误了。"

"Computing Machinery and Intelligence", 1950

"These last two paragraphs do not claim to be convincing arguments. They should rather be described as 'recitations tending to produce belief."

"最后这两段并不自命为有说服力的论证。把它们描述为'旨在诱生信念的吟诵'更为恰当。"

同上

4. Learning machines：child machine、雪球效应与自我改进

这是 Turing 一手文本里对今天最有预言性的部分。起点是一笔劳动力账——手写成人心智的工作量荒谬到不可行：

"At my present rate of working I produce about a thousand digits of programme a day, so that about sixty workers, working steadily through the fifty years might accomplish the job, if nothing went into the waste-paper basket. Some more expeditious method seems desirable."

"按我现在的工作速度，我一天产出约一千位程序。这样算，六十个工人稳定干上五十年，或许能完成这项工作——前提是没有任何东西进废纸篓。看来需要更快捷的方法。"

"Computing Machinery and Intelligence", 1950

更快捷的方法就是 child machine：

"Instead of trying to produce a programme to simulate the adult mind, why not rather try to produce one which simulates the child's? If this were then subjected to an appropriate course of education one would obtain the adult brain. Presumably the child brain is something like a notebook as one buys it from the stationer's. Rather little mechanism, and lots of blank sheets."

"与其试图写一个模拟成人心智的程序，为什么不试着写一个模拟儿童心智的？如果再让它接受一套适当的教育，就能得到成人的大脑。想来儿童的大脑就像从文具店买来的笔记本：机制很少，白纸很多。"

同上

教育实验与进化的对应关系，他写成了一张明确的映射表：

"We cannot expect to find a good child machine at the first attempt. One must experiment with teaching one such machine and see how well it learns. ... There is an obvious connection between this process and evolution, by the identifications: Structure of the child machine = hereditary material; Changes of the child machine = mutation; Natural selection = judgment of the experimenter."

"不能指望第一次尝试就找到好的儿童机器。必须拿一台这样的机器做教学实验、看它学得如何。……这个过程与进化有明显的对应：儿童机器的结构 = 遗传物质；儿童机器的改变 = 突变；自然选择 = 实验者的判断。"

同上

"One may hope, however, that this process will be more expeditious than evolution. The survival of the fittest is a slow method for measuring advantages. The experimenter, by the exercise of intelligence, should be able to speed it up."

"但可以指望这个过程比进化更快。适者生存是一种衡量优势的缓慢方法。实验者运用智能，应当能把它加速。"

同上

他不是在纸上谈兵——1950 年他已经亲手做过奖惩训练实验：

"The machine has to be so constructed that events which shortly preceded the occurrence of a punishment signal are unlikely to be repeated, whereas a reward signal increased the probability of repetition of the events which led up to it. These definitions do not presuppose any feelings on the part of the machine. I have done some experiments with one such child machine, and succeeded in teaching it a few things, but the teaching method was too unorthodox for the experiment to be considered really successful."

"机器必须构造成这样：紧接在惩罚信号之前的事件不太可能被重复，而奖励信号会提高导致它的那些事件被重复的概率。这些定义不预设机器有任何感受。我用一台这样的儿童机器做过一些实验，成功教会了它几样东西——但教学方法太不正统，实验不能算真正成功。"

同上

1952 年圆桌上，Jefferson 追问教学过程中"在学习的是你还是机器？"——他的回答与紧随其后的两段，是"学会学习"（learning to learn）思想的最早表述：

"Well, I suppose we both were. One will have to find out how to make machines that will learn more quickly if there is to be any real success."

"呃，我想我们俩都在学。要想取得真正的成功，就得弄清楚怎样造出学得更快的机器。"

BBC 圆桌, 1952-01

"One hopes too that there will be a sort of snowball effect. The more things the machine has learnt the easier it ought to be for it to learn others. In learning to do any particular thing it will probably also be learning to learn more efficiently."

"人们还希望出现某种雪球效应：机器学会的东西越多，学别的就应该越容易。在学做任何一件具体的事时，它很可能同时也在学习如何更高效地学习。"

同上

他甚至给出了"泛化涌现"的判据——没教过的能力自己冒出来，否则机器有缺陷：

"I am inclined to believe that when one has taught it to do certain things one will find that some other things which one had planned to teach it are happening without any special teaching being required. This certainly happens with an intelligent human mind, and if it doesn't happen when one is teaching a machine there is something lacking in the machine."

"我倾向于相信：当你教会它某些事情之后，你会发现另一些你本来计划要教的事情，不需要任何专门教学就自己发生了。这在有智能的人类心灵中肯定会发生；如果教机器时它不发生，那这台机器就缺了点什么。"

同上

机器以自身为对象、自我修改——1950 年他称之为"近期的可能性而非乌托邦之梦"：

"It may be used to help in making up its own programmes, or to predict the effect of alterations in its own structure. By observing the results of its own behaviour it can modify its own programmes so as to achieve some purpose more effectively. These are possibilities of the near future, rather than Utopian dreams."

"它可以被用来帮助编制自己的程序，或者预测自身结构改动的效果。通过观察自己行为的结果，它可以修改自己的程序，从而更有效地达成某个目的。这些是近期的可能性，而不是乌托邦之梦。"

"Computing Machinery and Intelligence", 1950

c.1951 讲稿里还有两个惊人的工程设想。其一是教师与机械师分离 + 回滚重训的实验协议——为了防止作弊（把知识偷偷预装进机器）：

"It would be quite easy to arrange the experiences in such a way that they automatically caused the structure of the machine to build up into a previously intended form, and this would obviously be a gross form of cheating, almost on a par with having a man inside the machine."

"完全可以把经验编排成让机器的结构自动长成预定形态的样子——这显然是一种粗劣的作弊，几乎等于往机器里藏一个人。"

"Intelligent Machinery, A Heretical Theory", c.1951

"I suggest that the education of the machine should be entrusted to some highly competent schoolmaster who is interested in the project but who is forbidden any detailed knowledge of the inner workings of the machine."

"我建议把机器的教育托付给某位非常胜任的教师——他对这个项目有兴趣，但被禁止了解机器内部运作的任何细节。"

同上

"The mechanic who has constructed the machine, however, is permitted to keep the machine in running order, and if he suspects that the machine has been operating incorrectly may put it back to one of its previous positions and ask the schoolmaster to repeat his lessons from that point on."

"而建造机器的机械师被允许维护机器运转；如果他怀疑机器运行出了错，可以把它退回先前的某个状态，请教师从那一点起重新授课。"

同上（1951 年版的 checkpoint 与回滚重训）

其二是机器的自省记忆——以及把"决策规则"本身交给机器自己研究：

"At comparatively late stages of education the memory might be extended to include important parts of the configuration of the machine at each moment, or in other words it would begin to remember what its thoughts had been."

"在教育的较后阶段，记忆可以扩展到包含机器每一时刻构形的重要部分——换句话说，它将开始记得自己曾经想过什么。"

同上

"At a very late stage of education the whole question of procedure in such cases will probably have been investigated by the machine itself, by means of some kind of index, and this may result in some highly sophisticated, and, one hopes, highly satisfactory, form of rule."

"在教育的极后阶段，这类情形下的整个程序问题很可能已经由机器自己借助某种索引研究过了——这也许会产生某种高度精巧的、且但愿高度令人满意的规则。"

同上

与此配套的，是他对不可解释性的坦然。学习机的教师不知道学生内部发生了什么：

"An important feature of a learning machine is that its teacher will often be very largely ignorant of quite what is going on inside, although he may still be able to some extent to predict his pupil's behaviour."

"学习机的一个重要特征是：它的教师对机器内部到底在发生什么，往往在很大程度上是无知的——尽管他仍能在一定程度上预测学生的行为。"

"Computing Machinery and Intelligence", 1950

"We must not always expect to know what the computer is going to do. We should be pleased when the machine surprises us, in rather the same way as one is pleased when a pupil does something which he had not been explicitly taught to do."

"我们不能总是指望知道计算机将要做什么。当机器让我们吃惊时，我们应该高兴——就像学生做出了没人明确教过他的事情时，老师会高兴一样。"

BBC "Can Digital Computers Think?", 1951

对智能的形式感，他还有一个精确的刻画——智能是对纪律的轻微偏离：

"Intelligent behaviour presumably consists in a departure from the completely disciplined behaviour involved in computation, but a rather slight one, which does not give rise to random behaviour, or to pointless repetitive loops."

"智能行为想来就是对计算所要求的完全纪律化行为的一种偏离——但相当轻微，既不至于沦为随机行为，也不至于陷进无意义的重复循环。"

"Computing Machinery and Intelligence", 1950

1948 年报告里同一思想的另一个表述：智能 = 纪律 + 主动性：

"To convert a brain or machine into a universal machine is the extremest form of discipline. ... But discipline is certainly not enough in itself to produce intelligence. That which is required in addition we call initiative."

"把一个大脑或一台机器变成万能机，是纪律的最极端形式。……但仅有纪律肯定不足以产生智能。所需的额外之物，我们称之为主动性。"

"Intelligent Machinery", 1948

最后，1950 年论文结尾处他对研究路线的著名抉择——抽象任务（下棋）还是具身语言习得——他的答案是两条都试：

"Many people think that a very abstract activity, like the playing of chess, would be best. It can also be maintained that it is best to provide the machine with the best sense organs that money can buy, and then teach it to understand and speak English. ... Again I do not know what the right answer is, but I think both approaches should be tried."

"许多人认为最好从非常抽象的活动入手，比如下棋。也有理由主张：最好给机器配上钱能买到的最好的感觉器官，然后教它理解并说英语。……我照样不知道正确答案是什么，但我认为两条路都应该试。"

"Computing Machinery and Intelligence", 1950

5. 计算机与社会：万能性、职业消亡与行话的自我防卫

Turing 对计算机的全部乐观都建立在一个数学事实上——万能性。1950 年的表述：

"This special property of digital computers, that they can mimic any discrete-state machine, is described by saying that they are universal machines. The existence of machines with this property has the important consequence that, considerations of speed apart, it is unnecessary to design various new machines to do various computing processes. They can all be done with one digital computer, suitably programmed for each case."

"数字计算机能模仿任何离散状态机——这一特殊性质被表述为：它们是万能机。具有这一性质的机器的存在带来一个重要后果：撇开速度考虑，没有必要为各种计算过程设计各种新机器。它们全都可以由一台数字计算机完成，只需为每种情形适当编程。"

"Computing Machinery and Intelligence", 1950

1951 年广播里他给出了这个性质的边界与惊人的推论：

"A digital computer is a universal machine in the sense that it can be made to replace any machine of a certain very wide class. It will not replace a bulldozer or a steam-engine or a telescope, but it will replace any rival design of calculating machine."

"数字计算机是万能机，意思是它可以被用来取代某个非常宽泛类别里的任何机器。它不会取代推土机、蒸汽机或望远镜，但它将取代任何与之竞争的计算机器设计。"

BBC "Can Digital Computers Think?", 1951

"I should also say that 'If any machine can appropriately be described as a brain, then any digital computer can be so described'."

"我还要说：'如果有任何机器可以被恰当地描述为大脑，那么任何数字计算机都可以。"

同上

他还顺手拆掉了一个流行迷信——重要的不是"电"：

"Importance is often attached to the fact that modern digital computers are electrical, and that the nervous system also is electrical. Since Babbage's machine was not electrical, and since all digital computers are in a sense equivalent, we see that this use of electricity cannot be of theoretical importance. ... If we wish to find such similarities we should look rather for mathematical analogies of function."

"人们常常看重这个事实：现代数字计算机是电的，神经系统也是电的。但既然 Babbage 的机器不是电的，而一切数字计算机在某种意义上彼此等价，可见用电这件事不可能有理论上的重要性。……如果要找相似性，应该去找功能上的数学类比。"

"Computing Machinery and Intelligence", 1950

1947 年 LMS 演讲是他对计算机社会影响最集中的一次预测。手工计算职业将消亡：

"It is to be expected therefore that large scale hand-computing will die out. Computers will still be employed on small calculations ... but whenever a single calculation may be expected to take a human computer days of work, it will presumably be done by an electronic computer instead."

"因此可以预期，大规模的手工计算将会消亡。计算员仍会被雇来做小计算……但凡是一次计算预计要花人类计算员数天工夫的，想来都将改由电子计算机完成。"

LMS 演讲, 1947-02-20（"computers"在此指以计算为业的人）

围绕机器将形成新的分工——以及分工的消亡：

"Roughly speaking those who work in connection with the ACE will be divided into its masters and its servants. Its masters will plan out instruction tables for it, thinking up deeper and deeper ways of using it. Its servants will feed it with cards as it calls for them."

"粗略地说，围绕 ACE 工作的人将分为它的主人和它的仆人。主人为它规划指令表，想出越来越深的使用方法；仆人在它索要时给它喂卡片。"

同上

"As time goes on the calculator itself will take over the functions both of masters and of servants. The servants will be replaced by mechanical and electrical limbs and sense organs. ... The masters are liable to get replaced because as soon as any technique becomes at all stereotyped it becomes possible to devise a system of instruction tables which will enable the electronic computer to do it for itself."

"随着时间推移，计算机将亲自接管主人和仆人的双重职能。仆人将被机械和电气的肢体与感觉器官取代。……主人也难免被取代——因为任何技艺一旦变得稍有定式，就有可能设计出一套指令表，让电子计算机自己去做这件事。"

同上

接下来是整场演讲最锋利的预言——被威胁的从业者会怎么办：

"It may happen however that the masters will refuse to do this. They may be unwilling to let their jobs be stolen from them in this way. In that case they would surround the whole of their work with mystery and make excuses, couched in well chosen gibberish, whenever any dangerous suggestions were made. I think that a reaction of this kind is a very real danger."

"然而，主人们可能会拒绝这样做。他们也许不愿意自己的工作被这样偷走。那样的话，他们就会用神秘感把自己的全部工作包裹起来，每当有危险的提议出现，就用精心挑选的黑话编造托辞。我认为这种反应是一个非常现实的危险。"

同上

对机器本身，他有一句朴素的使用警告——机器没有幽默感，只按字面执行：

"The machine interprets whatever it is told in a quite definite manner without any sense of humour or sense of proportion. Unless in communicating with it one says exactly what one means, trouble is bound to result."

"机器以完全确定的方式解释它被告知的一切，没有任何幽默感或分寸感。与它交流时若不精确说出你的本意，麻烦是必然的。"

同上

以及对拟人机器人的审美判决：

"I certainly hope and believe that no great efforts will be put into making machines with the most distinctively human, but non-intellectual characteristics such as the shape of the human body. It appears to me to be quite futile to make such attempts and their results would have something like the unpleasant quality of artificial flowers."

"我当然希望并相信，不会有大量精力被投入制造那种具备最鲜明的人类特征、却与智力无关的机器——比如人体的外形。在我看来这种尝试相当徒劳，其结果会带着某种塑料花般令人不快的品质。"

BBC "Can Digital Computers Think?", 1951

6. 世界观：灵魂、自由意志、感受与两行公式

把 Turing 一生处理"终极问题"的一手文本按时间排开，是这份档案里最动人的一条线。20 岁（《Nature of Spirit》，见第一章）：量子不确定性给意志留缺口，身体是灵魂"照料和使用的东西"。39 岁（1951 广播）：同一个问题，答案变成了诚实的悬置——

"It may be that the feeling of free will which we all have is an illusion. Or it may be that we really have got free will, but that there is no way of telling from our behaviour that this is so."

"可能我们人人都有的那种自由意志感是一种幻觉。也可能我们真的拥有自由意志，只是无法从我们的行为分辨出这一点。"

BBC "Can Digital Computers Think?", 1951

"It is certain that a machine which is to imitate a brain must appear to behave as if it had free will, and it may well be asked how this is to be achieved. One possibility is to make its behaviour depend on something like a roulette wheel or a supply of radium."

"可以肯定的是：一台要模仿大脑的机器，必须表现得仿佛拥有自由意志。很自然要问这如何做到。一种可能是让它的行为取决于类似轮盘赌或一份镭的东西。"

同上

1950 年论文里，"随机元素=自由意志"的说法他自己用括号撇清——这种精确是他的signature：

"Sometimes such a machine is described as having free will (though I would not use this phrase myself)."

"有时这样的机器被描述为拥有自由意志（尽管我自己不会用这个说法）。"

"Computing Machinery and Intelligence", 1950

41 岁（1953 棋章），对"机器能否有感受"——他一生对意识问题的最终立场，一句话，与他人心灵问题完全对称：

"To vi) I should say 'I shall never know, any more than I shall ever be quite certain that you feel as I do."

"对第六问，我要说：'我永远不会知道——正如我永远无法完全确定，你的感受是否与我相同。"

"Chess"（Faster Than Thought），1953

他对宇宙的决定论图景，1950 年有过一段远早于混沌理论流行的表述：

"The system of the 'universe as a whole' is such that quite small errors in the initial conditions can have an overwhelming effect at a later time. The displacement of a single electron by a billionth of a centimetre at one moment might make the difference between a man being killed by an avalanche a year later, or escaping."

"宇宙整体'这个系统是这样的：初始条件里相当小的误差，可以在之后的时刻产生压倒性的影响。某一时刻一个电子移位十亿分之一厘米，可能决定一个人一年后死于雪崩、还是幸免。"

"Computing Machinery and Intelligence", 1950

而 1950 年论文里也有他认识论上最坦率的时代印记——他认真对待当时的 ESP"统计证据"（后世已否定该证据，此处如实收录以存其诚实）：

"These disturbing phenomena seem to deny all our usual scientific ideas. How we should like to discredit them! Unfortunately the statistical evidence, at least for telepathy, is overwhelming."

"这些令人不安的现象似乎否定了我们通常的一切科学观念。我们多么想推翻它们！不幸的是，至少就心灵感应而言，统计证据是压倒性的。"

同上（1950 年他基于 Rhine 等人的实验数据认真处理了这一反驳，甚至建议用"防心灵感应室"加固测试——时代局限的诚实记录）

宗教立场：他对神学论证"不太能打动"（见前引），但他处理宗教的方式不是嘲笑而是安放。死前三个月给 Gandy 的明信片，用两行公式给了科学与宗教各自的位置：

"Science is a Differential Equation. Religion is a Boundary Condition."

"科学是一个微分方程。宗教是一个边界条件。"

致 Robin Gandy 明信片, 1954-03

[推断] 微分方程决定演化规律，边界条件决定这条规律作用于哪个具体世界——这两行的克制在于：既不让宗教干预规律，也不宣称规律穷尽了一切。对照 20 岁那篇给灵魂找物理缺口的随笔，他终点处的世界观已经不需要缺口了，但仍给"边界"留了一个词的位置。

关于他自己的处境，一手材料只有 Routledge 信（见第六章）。那封信的口吻本身就是世界观：把灾难标注上先验概率（"10:1 against"）、把败露经过当成"哪天要写成短篇小说"的素材、把最深的恐惧留给学说而非自己。落款是 "Yours in distress"——他允许自己苦恼，但不允许苦恼改变论证。

7. 如何做研究：猜想、犯错、直觉与共同体

Turing 关于研究方法的一手表述散落各处，拼起来是一套完整的认识论。第一条：猜想的地位。

"The popular view that scientists proceed inexorably from well-established fact to well-established fact, never being influenced by any improved conjecture, is quite mistaken. Provided it is made clear which are proved facts and which are conjectures, no harm can result. Conjectures are of great importance since they suggest useful lines of research."

"那种流行的看法——科学家从确凿事实到确凿事实步步为营地推进，从不受任何改进了的猜想影响——是完全错误的。只要说清楚哪些是已证的事实、哪些是猜想，就不会有任何害处。猜想极为重要，因为它们提示出有用的研究路线。"

"Computing Machinery and Intelligence", 1950

第二条：犯错与原创的绑定——他把它上升为一条几乎是统计规律的断言：

"I believe that this danger of the mathematician making mistakes is an unavoidable corollary of his power of sometimes hitting upon an entirely new method. This seems to be confirmed by the well known fact that the most reliable people will not usually hit upon really new methods."

"我相信，数学家会犯错这个危险，是他有时能撞见全新方法这种能力的不可避免的推论。一个众所周知的事实似乎印证了这一点：最可靠的人通常不会想出真正新的方法。"

"Intelligent Machinery, A Heretical Theory", c.1951

第三条：直觉与机巧的二分（1939 年博士论文）——他对数学思维最系统的解剖：

"Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two faculties, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgments which are not the result of conscious trains of reasoning. These judgments are often but by no means invariably correct."

"数学推理可以相当图式化地看作两种官能的联合运用，我们可以称之为直觉与机巧。直觉的活动在于做出自发的判断——它们不是有意识推理链条的产物。这些判断常常正确，但绝非总是正确。"

"Systems of Logic Based on Ordinals", 1939

"We have been trying to see how far it is possible to eliminate intuition, and leave only ingenuity. We do not mind how much ingenuity is required, and therefore assume it to be available in unlimited supply."

"我们一直在尝试看：能在多大程度上消去直觉、只留下机巧。我们不在乎需要多少机巧，因此假定它的供应是无限的。"

同上

"In this way ingenuity is replaced by patience."

"这样一来，机巧就被耐心取代了。"

同上（把证明搜索机械化的后果，他用五个词说完）

同页的脚注藏着一句重要的自我供述——形式化刻意略去了"最重要的官能"：

"We are leaving out of account that most important faculty which distinguishes topics of interest from others; in fact, we are regarding the function of the mathematician as simply to determine the truth or falsity of propositions."

"我们没有考虑那个最重要的官能——把有趣的课题与其他课题区分开来的官能；实际上，我们把数学家的职能仅仅看作判定命题的真假。"

同上，脚注（"分辨什么问题有趣"是最重要的官能——却在形式系统中无处安放）

战时他从旅店写给 Newman 的信里，同一思想的书信版——选择证明系统本身需要直觉：

"One imagines different machines allowing different sets of proofs, and by choosing a suitable machine one can approximate 'truth' by 'provability' better than with a less suitable machine, and can in a sense approximate it as well as you please. The choice of a proof checking machine involves intuition."

"可以设想不同的机器容纳不同的证明集合；选择一台合适的机器，就能用'可证性'更好地逼近'真理'——在某种意义上要多近有多近。而选择证明校验机这件事本身，就需要直觉。"

致 Max Newman 信, c.1940

第四条：研究是共同体行为——1948 年报告里的"文化搜索"。这是他对"研究如何发生"最直接的表述：

"The isolated man does not develop any intellectual power. It is necessary for him to be immersed in an environment of other men, whose techniques he absorbs during the first twenty years of his life. He may then perhaps do a little research of his own and make a very few discoveries which are passed on to other men."

"孤立的人不会发展出任何智力。他必须浸泡在他人构成的环境里，在生命的头二十年吸收他们的技艺。此后他或许能做一点自己的研究，取得极少数发现，再传递给其他人。"

"Intelligent Machinery", 1948

"From this point of view the search for new techniques must be regarded as carried out by the human community as a whole, rather than by individuals."

"从这个角度看，对新技艺的搜索必须被看作由整个人类共同体、而非由个人来完成的。"

同上

第五条：建模哲学——1952 年形态发生学论文里的一句自白，也适用于他做过的每一个模型：

"This model will be a simplification and an idealization, and consequently a falsification. It is to be hoped that the features retained for discussion are those of greatest importance in the present state of knowledge."

"这个模型将是一种简化和一种理想化，因而也是一种失真。但愿留下来讨论的那些特征，正是在现有知识状态下最重要的那些。"

"The Chemical Basis of Morphogenesis", 1952

同一篇论文对读者的坦率提示，顺带展示了他对跨学科的自觉：

"The full understanding of the paper requires a good knowledge of mathematics, some biology, and some elementary chemistry. Since readers cannot be expected to be experts in all of these subjects, a number of elementary facts are explained, which can be found in text-books."

"完全读懂本文需要良好的数学知识、一些生物学和一些基础化学。既然不能指望读者是所有这些学科的专家，文中解释了一些教科书里能找到的基本事实。"

同上

第六条：对自己核心论题的认识论定位——Church-Turing 论题既非定理也非定义：

"The statement is moreover one which one does not attempt to prove. Propaganda is more appropriate to it than proof, for its status is something between a theorem and a definition."

"而且这个论断是人们不去尝试证明的。对它来说，宣传比证明更合适——因为它的地位介于定理与定义之间。"

"Solvable and Unsolvable Problems", 1954

第七条：研究早期的心态——1951 年广播里的侦探小说类比：

"The fact is that we know very little about it, and very little research has yet been done. There are plentiful ideas, but we do not yet know which of them are of importance. As in the detective stories, at the beginning of the investigation any trifle may be of importance to the investigator. ... But at present we have nothing worth putting before a jury."

"事实是我们对此所知极少，研究也做得极少。想法很多，但我们还不知道哪些重要。就像侦探小说里，调查之初任何琐屑之物都可能对调查者重要。……但眼下，我们还没有任何值得呈给陪审团的东西。"

BBC "Can Digital Computers Think?", 1951

第八条：诚实到自我拆台。 他对自己的下棋程序 Turochamp 的评价：

"If I were to sum up the weakness of the above system in a few words I would describe it as a caricature of my own play. It was in fact based on an introspective analysis of my thought processes when playing, with considerable simplifications. It makes oversights which are very similar to those which I make myself."

"如果要用几个词概括上述系统的弱点，我会把它描述为对我自己棋风的一幅漫画。它实际上基于对我下棋时思维过程的内省分析，并做了大量简化。它犯的疏漏与我自己犯的极为相似。"

"Chess"（Faster Than Thought），1953

以及生涯末尾对整个领域成果来路的自评：

"The results which have been found are on the whole ones which have fallen into our laps rather than ones which have positively been searched for."

"已经找到的这些结果，总体上是掉进我们怀里的，而不是被主动搜寻得来的。"

"Solvable and Unsolvable Problems", 1954

关于研究组织：Turing 没有留下关于"如何建研究机构"的系统一手论述（他一生是被组织雇用的研究者，不是组织的建造者）——这是本档案如实保留的空白。可归入此题的一手材料仅两件：1941 年致丘吉尔信中对"小团队在大官僚系统中必然被忽视"的结构性诊断（见第三章），以及 1948 年"文化搜索"段把研究定义为共同体过程。另有一个反面材料：他 1948 年那份被上司压下的报告本身，就是研究机构如何错待超前工作的一份物证——但这个判断是 [推断]，他本人对此没有留下抱怨的文字。

三、数据来源

一手文献（16 件，全部缓存于 cache/web/）

另存 7 份原始文件于 cache/web/raw/（1950/1947/1948/1951 各件 PDF、1948 报告 OCR 全文、The Essential Turing 全书文本等），供回查。

结构性空白（如实交代）

• 战时 Bletchley Park（1939-45）无一手公开自述。战时技术文书虽已解密但纯属密码技术、不涉自述；曼彻斯特大学 2017 年公布的 148 份晚年文件中战时只字未提（仅一封 GCHQ 主任来信）。最接近的一手材料：1941 致丘吉尔信（组织文件而非自白）、Routledge 信里 "a good deal of hard thinking" 一句、1948 报告的密码学/物理学类比。
• 无任何录音存世——1951、1952 两次 BBC 广播录音均被销毁，仅存讲稿。
• 无遗书。1954-06-07 死亡与验尸结论为公共记录；最后的一手文本是 1954 年 2 月的科普文与 3 月的 Gandy 明信片。
• ACE 报告全文文本版未能在线获取（NPL 官网 PDF 失效，alanturing.net 仅扫描图）——关键段落经 SEP 逐字转引。

已排查的伪托语录（绝不引用）

1. ~~"Sometimes it is the people no one imagines anything of who do the things no one can imagine."~~ — 2014 年电影《The Imitation Game》台词（编剧 Graham Moore），非 Turing 的话。
2. ~~"Those who can imagine anything, can create the impossible."~~ — 无任何一手出处，网络伪托。
3. ~~"A computer would deserve to be called intelligent if it could deceive a human into believing that it was human."~~ — 后人对模仿游戏的转述被加上引号误归于他；1950 论文中无此句。
4. "I am building a brain" / "All I'm after is just a mediocre brain"（1943 Bell Labs 食堂）— 同事回忆的转述，非一手文字，按本档案纪律不采。
5. 反向提醒：易被疑为伪托的 "cold porridge"（冷粥）、"a sort of buzzing"（嗡嗡声）、"Yours in distress" 三段论、"machines to take control" 均为真——分别见 1952 圆桌转录、Routledge 信、'51 Society 讲稿。

与本档案纪律的三点说明

1. 1952 年 BBC 圆桌中 Newman、Jefferson、Braithwaite 的发言仅在理解 Turing 回应所必需处以 context 形式保留，不作为 Turing 观点引用。
2. 生卒、任职、定罪等时间线骨架事实以公共记录核对；凡叙述超出一手文本处均标注 [推断] 或"公共记录"。
3. Hodges 传记、Copeland 编者注等二手材料仅用于文献定位与转写校勘，不进入观点引用。