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1922年1月至1926年间，图灵在哈泽尔赫斯特预科学校接受教育，这是苏塞克斯郡(现为东苏塞克斯郡)弗兰特的一所独立学校。1926年，13岁的他进入了位于多塞特舍伯恩市镇的一所寄宿制独立学校---- 谢伯恩学校，在那里他在 Westcott House 寄宿。学期的第一天正好赶上1926年英国的总罢工，但是图灵决心要参加，他独自骑着自行车从南安普顿到了舍伯恩，在一家客栈过夜。

1922年1月至1926年间，图灵在哈泽尔赫斯特预科学校接受教育，这是苏塞克斯郡(现为东苏塞克斯郡)弗兰特的一所独立学校。1926年，13岁的他进入了位于多塞特舍伯恩市镇的一所寄宿制独立学校---- 谢伯恩学校，在那里他在 Westcott House 寄宿。学期的第一天正好赶上1926年英国的总罢工，但是图灵决心要参加，他独自骑着自行车从南安普顿到了舍伯恩，在一家客栈过夜。

Turing's natural inclination towards mathematics and science did not earn him respect from some of the teachers at Sherborne, whose definition of education placed more emphasis on the [[classics]]. His headmaster wrote to his parents: "I hope he will not fall between two stools. If he is to stay at public school, he must aim at becoming ''educated''. If he is to be solely a ''Scientific Specialist'', he is wasting his time at a public school".<ref>{{Harvnb|Hodges|1983|p=26}}</ref> Despite this, Turing continued to show remarkable ability in the studies he loved, solving advanced problems in 1927 without having studied even elementary [[calculus]]. In 1928, aged 16, Turing encountered [[Albert Einstein]]'s work; not only did he grasp it, but it is possible that he managed to deduce Einstein's questioning of [[Newton's laws of motion]] from a text in which this was never made explicit.<ref>{{Harvnb|Hodges|1983|p=34}}</ref>

Turing's natural inclination towards mathematics and science did not earn him respect from some of the teachers at Sherborne, whose definition of education placed more emphasis on the [[classics]]. His headmaster wrote to his parents: "I hope he will not fall between two stools. If he is to stay at public school, he must aim at becoming ''educated''. If he is to be solely a ''Scientific Specialist'', he is wasting his time at a public school".<ref>{{Harvnb|Hodges|1983|p=26}}</ref> Despite this, Turing continued to show remarkable ability in the studies he loved, solving advanced problems in 1927 without having studied even elementary [[calculus]]. In 1928, aged 16, Turing encountered [[Albert Einstein]]'s work; not only did he grasp it, but it is possible that he managed to deduce Einstein's questioning of [[Newton's laws of motion]] from a text in which this was never made explicit.<ref>{{Harvnb|Hodges|1983|p=34}}</ref>

图灵对数学和科学的天生倾向并没有赢得舍伯恩大学一些教师的尊重，他们对教育的定义更多地强调古典学。他的校长在给父母的信中写道: “我希望他不要两头落空。如果他想留在公立学校，他必须以受教育为目标。如果他只想成为一名科学专家，那他就是在公立学校里浪费时间。”。尽管如此，图灵在他热爱的研究中继续表现出非凡的能力，在1927年，他甚至没有学过初等微积分就解决了高级问题。1928年，16岁的图灵遇到了阿尔伯特 · 爱因斯坦的工作; 他不仅掌握了它，而且有可能他设法从一篇从未明确阐述过的文章中推断出爱因斯坦对牛顿运动定律的质疑。

图灵对数学和科学的天生倾向并没有赢得舍伯恩大学一些教师的尊重，他们对教育的定义更多地强调古典学。他的校长在给父母的信中写道: “我希望他不要两头落空。如果他想留在公立学校，他必须以受教育为目标。如果他只想成为一名科学专家，那他就是在公立学校里浪费时间。”。尽管如此，图灵在他热爱的研究中继续表现出非凡的能力，在1927年，他甚至没有学过初等微积分就解决了高级问题。1928年，16岁的图灵遇到了阿尔伯特 · 爱因斯坦的工作; 他不仅掌握了它，而且有可能他设法从一篇从未明确阐述过的文章中推断出爱因斯坦对牛顿运动定律的质疑。

===Christopher Morcom===

===Christopher Morcom===

At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom (13 July 1911 – 13 February 1930),<ref>[https://oldshirburnian.org.uk/wp-content/uploads/2015/01/Obituary-for-Christopher-Morcom-The-Shirburnian-March-1930.pdf ''The Shirburnian'']</ref> who has been described as Turing's "first love". Their relationship provided inspiration in Turing's future endeavours, but it was cut short by Morcom's death, in February 1930, from complications of [[bovine tuberculosis]], contracted after drinking infected cow's milk some years previously.<ref name="NYReviewBooks">{{cite web|author=Caryl, Christian|title=Poor Imitation of Alan Turing|url=http://www.nybooks.com/blogs/nyrblog/2014/dec/19/poor-imitation-alan-turing/|newspaper=[[New York Review of Books]]|date=19 December 2014|access-date=9 January 2015|archive-url=https://web.archive.org/web/20150107010418/http://www.nybooks.com/blogs/nyrblog/2014/dec/19/poor-imitation-alan-turing/|archive-date=7 January 2015|url-status=live}}</ref><ref>Rachel Hassall, [http://oldshirburnian.org.uk/wp-content/uploads/2014/03/The-Sherborne-Formula-Vivat-2012-2013-optimised.pdf 'The Sherborne Formula: The Making of Alan Turing'] {{Webarchive|url=https://web.archive.org/web/20140415082353/http://oldshirburnian.org.uk/wp-content/uploads/2014/03/The-Sherborne-Formula-Vivat-2012-2013-optimised.pdf |date=15 April 2014 }} 'Vivat!' 2012/13</ref><ref name="teuscher">{{Cite book|editor-last=Teuscher |editor-first=Christof|editor-link=Christof Teuscher |title=Alan Turing: Life and Legacy of a Great Thinker |year=2004 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-3-540-20020-8 |oclc=53434737 }}</ref>Rachel Hassall, 'The Sherborne Formula: The Making of Alan Turing'  'Vivat!' 2012/13

At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom (13 July 1911 – 13 February 1930),<ref>[https://oldshirburnian.org.uk/wp-content/uploads/2015/01/Obituary-for-Christopher-Morcom-The-Shirburnian-March-1930.pdf ''The Shirburnian'']</ref> who has been described as Turing's "first love". Their relationship provided inspiration in Turing's future endeavours, but it was cut short by Morcom's death, in February 1930, from complications of [[bovine tuberculosis]], contracted after drinking infected cow's milk some years previously.<ref name="NYReviewBooks">{{cite web|author=Caryl, Christian|title=Poor Imitation of Alan Turing|url=http://www.nybooks.com/blogs/nyrblog/2014/dec/19/poor-imitation-alan-turing/|newspaper=[[New York Review of Books]]|date=19 December 2014|access-date=9 January 2015|archive-url=https://web.archive.org/web/20150107010418/http://www.nybooks.com/blogs/nyrblog/2014/dec/19/poor-imitation-alan-turing/|archive-date=7 January 2015|url-status=live}}</ref><ref>Rachel Hassall, [http://oldshirburnian.org.uk/wp-content/uploads/2014/03/The-Sherborne-Formula-Vivat-2012-2013-optimised.pdf 'The Sherborne Formula: The Making of Alan Turing'] {{Webarchive|url=https://web.archive.org/web/20140415082353/http://oldshirburnian.org.uk/wp-content/uploads/2014/03/The-Sherborne-Formula-Vivat-2012-2013-optimised.pdf |date=15 April 2014 }} 'Vivat!' 2012/13</ref><ref name="teuscher">{{Cite book|editor-last=Teuscher |editor-first=Christof|editor-link=Christof Teuscher |title=Alan Turing: Life and Legacy of a Great Thinker |year=2004 |publisher=[[Springer Science+Business Media|Springer-Verlag]] |isbn=978-3-540-20020-8 |oclc=53434737 }}</ref>Rachel Hassall, 'The Sherborne Formula: The Making of Alan Turing'  'Vivat!' 2012/13

在舍伯恩，图灵与同学 Christopher Collan Morcom (1911年7月13日 -1930年2月13日)建立了深厚的友谊，这位舍布尔人被称为图灵的“初恋”。他们的关系为图灵未来的努力提供了灵感，但由于1930年2月莫尔科姆死于多年前因饮用受感染的牛奶而感染的牛结核病并发症，这段关系被迫中断。雷切尔 · 哈索尔(Rachel Hassall) ，《舍伯恩公式: 阿兰 · 图灵的诞生》(The Sherborne Formula: The Making of Alan Turing)《维瓦特! 》2012/13

在舍伯恩，图灵与同学 Christopher Collan Morcom (1911年7月13日 -1930年2月13日)建立了深厚的友谊，这位舍布尔人被称为图灵的“初恋”。他们的关系为图灵未来的努力提供了灵感，但由于1930年2月莫尔科姆死于多年前因饮用受感染的牛奶而感染的牛结核病并发症，这段关系被迫中断。雷切尔 · 哈索尔(Rachel Hassall) ，《舍伯恩公式: 阿兰 · 图灵的诞生》(The Sherborne Formula: The Making of Alan Turing)《维瓦特! 》2012/13

The event caused Turing great sorrow. He coped with his grief by working that much harder on the topics of science and mathematics that he had shared with Morcom. In a letter to Morcom's mother, Frances Isobel Morcom (née Swan), Turing wrote:{{blockquote|I am sure I could not have found anywhere another companion so brilliant and yet so charming and unconceited. I regarded my interest in my work, and in such things as astronomy (to which he introduced me) as something to be shared with him and I think he felt a little the same about me&nbsp;... I know I must put as much energy if not as much interest into my work as if he were alive, because that is what he would like me to do.<ref>{{Harvnb|Hodges|1983|p=61}}</ref>}}这件事给图灵带来了巨大的悲痛。他与莫科姆一起在科学和数学方面付出了更多的努力，以此来应对自己的悲痛。图灵在写给莫科姆母亲弗朗西丝 · 伊泽贝尔 · 莫科姆(弗朗西丝 · 斯旺饰)的信中写道:

The event caused Turing great sorrow. He coped with his grief by working that much harder on the topics of science and mathematics that he had shared with Morcom. In a letter to Morcom's mother, Frances Isobel Morcom (née Swan), Turing wrote:{{blockquote|I am sure I could not have found anywhere another companion so brilliant and yet so charming and unconceited. I regarded my interest in my work, and in such things as astronomy (to which he introduced me) as something to be shared with him and I think he felt a little the same about me&nbsp;... I know I must put as much energy if not as much interest into my work as if he were alive, because that is what he would like me to do.<ref>{{Harvnb|Hodges|1983|p=61}}</ref>}}这件事给图灵带来了巨大的悲痛。他与莫科姆一起在科学和数学方面付出了更多的努力，以此来应对自己的悲痛。图灵在写给莫科姆母亲弗朗西丝 · 伊泽贝尔 · 莫科姆(弗朗西丝 · 斯旺饰)的信中写道:

我敢肯定，我在任何地方都找不到另一个如此才华横溢、却又如此迷人、毫无想象力的伴侣。我把我对我的工作的兴趣，以及对天文学（他向我介绍的）的兴趣，看作是与他分享的东西，我想他对我的感觉也有点一样；。。。我知道，如果我的工作没有他活着时那么有兴趣，我也必须投入同样多的精力，因为他希望我这样做。

我敢肯定，我在任何地方都找不到另一个如此才华横溢、却又如此迷人、毫无想象力的伴侣。我把我对我的工作的兴趣，以及对天文学（他向我介绍的）的兴趣，看作是与他分享的东西，我想他对我的感觉也有点一样；。。。我知道，如果我的工作没有他活着时那么有兴趣，我也必须投入同样多的精力，因为他希望我这样做。

Turing's relationship with Morcom's mother continued long after Morcom's death, with her sending gifts to Turing, and him sending letters, typically on Morcom's birthday.<ref>{{cite book |title=Alan Turing: The Enigma |publisher=Princeton University Press |author-link=Andrew Hodges |last=Hodges |first=Andrew |page=[https://archive.org/details/alanturingenigma0000hodg/page/87 87] |year=2012 |isbn=978-0-691-15564-7 |url=https://archive.org/details/alanturingenigma0000hodg|url-access=registration }}</ref> A day before the third anniversary of Morcom's death (13 February 1933), he wrote to Mrs. Morcom:{{blockquote|I expect you will be thinking of Chris when this reaches you. I shall too, and this letter is just to tell you that I shall be thinking of Chris and of you tomorrow. I am sure that he is as happy now as he was when he was here. Your affectionate Alan.<ref>{{cite book |title=Alan Turing: The Enigma |publisher=Princeton University Press |author-link=Andrew Hodges |last=Hodges |first=Andrew |page=[https://archive.org/details/alanturingenigma0000hodg/page/90 90] |year=2012 |isbn=978-0-691-15564-7 |url=https://archive.org/details/alanturingenigma0000hodg|url-access=registration }}</ref>}}图灵和莫科姆的母亲的关系在莫科姆去世很久之后依然存在，她给图灵寄去了礼物，他也给莫科姆写了信，通常是在莫科姆的生日那天。在莫尔科姆逝世三周年的前一天(1933年2月13日) ，他写信给莫尔科姆夫人:

Turing's relationship with Morcom's mother continued long after Morcom's death, with her sending gifts to Turing, and him sending letters, typically on Morcom's birthday.<ref>{{cite book |title=Alan Turing: The Enigma |publisher=Princeton University Press |author-link=Andrew Hodges |last=Hodges |first=Andrew |page=[https://archive.org/details/alanturingenigma0000hodg/page/87 87] |year=2012 |isbn=978-0-691-15564-7 |url=https://archive.org/details/alanturingenigma0000hodg|url-access=registration }}</ref> A day before the third anniversary of Morcom's death (13 February 1933), he wrote to Mrs. Morcom:{{blockquote|I expect you will be thinking of Chris when this reaches you. I shall too, and this letter is just to tell you that I shall be thinking of Chris and of you tomorrow. I am sure that he is as happy now as he was when he was here. Your affectionate Alan.<ref>{{cite book |title=Alan Turing: The Enigma |publisher=Princeton University Press |author-link=Andrew Hodges |last=Hodges |first=Andrew |page=[https://archive.org/details/alanturingenigma0000hodg/page/90 90] |year=2012 |isbn=978-0-691-15564-7 |url=https://archive.org/details/alanturingenigma0000hodg|url-access=registration }}</ref>}}图灵和莫科姆的母亲的关系在莫科姆去世很久之后依然存在，她给图灵寄去了礼物，他也给莫科姆写了信，通常是在莫科姆的生日那天。在莫尔科姆逝世三周年的前一天(1933年2月13日) ，他写信给莫尔科姆夫人:

我想当你收到这封信时，你会想到克里斯。我也会的，这封信只是想告诉你，我明天会想起克里斯和你。我相信他现在和他在这里时一样快乐。亲爱的艾伦。

我想当你收到这封信时，你会想到克里斯。我也会的，这封信只是想告诉你，我明天会想起克里斯和你。我相信他现在和他在这里时一样快乐。亲爱的艾伦。

Some have speculated that Morcom's death was the cause of Turing's [[atheism]] and [[materialism]].<ref>Paul Gray, [http://www.time.com/time/magazine/article/0,9171,990624,00.html Alan Turing] {{Webarchive|url=https://web.archive.org/web/20110119181237/http://www.time.com/time/magazine/article/0,9171,990624,00.html |date=19 January 2011 }} Time Magazine's Most Important People of the Century, p. 2</ref> Paul Gray, Alan Turing  Time Magazine's Most Important People of the Century, p. 2 Apparently, at this point in his life he still believed in such concepts as a spirit, independent of the body and surviving death. In a later letter, also written to Morcom's mother, Turing wrote:{{blockquote|Personally, I believe that spirit is really eternally connected with matter but certainly not by the same kind of body&nbsp;... as regards the actual connection between spirit and body I consider that the body can hold on to a 'spirit', whilst the body is alive and awake the two are firmly connected. When the body is asleep I cannot guess what happens but when the body dies, the 'mechanism' of the body, holding the spirit is gone and the spirit finds a new body sooner or later, perhaps immediately.<ref>{{Harvnb|Hodges|1983|pp=82–83}}</ref><ref>[https://oldshirburnian.org.uk/alan-turing-and-the-nature-of-spirit/ The Old Shirburnian Society]</ref>}}有人推测，莫科姆的死是图灵无神论和唯物主义的原因。保罗 · 格雷，阿兰 · 图灵时代杂志的《世纪最重要的人物》 ，第2页显然，在他生命的这个阶段，他仍然相信诸如精神、独立于肉体和生存于死亡的概念。在后来写给莫科姆母亲的一封信中，图灵写道:

Some have speculated that Morcom's death was the cause of Turing's [[atheism]] and [[materialism]].<ref>Paul Gray, [http://www.time.com/time/magazine/article/0,9171,990624,00.html Alan Turing] {{Webarchive|url=https://web.archive.org/web/20110119181237/http://www.time.com/time/magazine/article/0,9171,990624,00.html |date=19 January 2011 }} Time Magazine's Most Important People of the Century, p. 2</ref> Paul Gray, Alan Turing  Time Magazine's Most Important People of the Century, p. 2 Apparently, at this point in his life he still believed in such concepts as a spirit, independent of the body and surviving death. In a later letter, also written to Morcom's mother, Turing wrote:{{blockquote|Personally, I believe that spirit is really eternally connected with matter but certainly not by the same kind of body&nbsp;... as regards the actual connection between spirit and body I consider that the body can hold on to a 'spirit', whilst the body is alive and awake the two are firmly connected. When the body is asleep I cannot guess what happens but when the body dies, the 'mechanism' of the body, holding the spirit is gone and the spirit finds a new body sooner or later, perhaps immediately.<ref>{{Harvnb|Hodges|1983|pp=82–83}}</ref><ref>[https://oldshirburnian.org.uk/alan-turing-and-the-nature-of-spirit/ The Old Shirburnian Society]</ref>}}有人推测，莫科姆的死是图灵无神论和唯物主义的原因。保罗 · 格雷，阿兰 · 图灵时代杂志的《世纪最重要的人物》 ，第2页显然，在他生命的这个阶段，他仍然相信诸如精神、独立于肉体和生存于死亡的概念。在后来写给莫科姆母亲的一封信中，图灵写道:

就我个人而言，我相信精神确实与物质永恒地联系在一起，但肯定不是由同一种身体联系在一起的；关于精神与身体的实际联系，我认为身体可以保持一种“精神”，而身体是活着的和清醒的，两者是紧密相连的。当身体处于睡眠状态时，我无法猜测会发生什么，但当身体死亡时，身体的“机制”失去了，保持着灵魂，灵魂迟早会找到一个新的身体，也许会立即找到。

就我个人而言，我相信精神确实与物质永恒地联系在一起，但肯定不是由同一种身体联系在一起的；关于精神与身体的实际联系，我认为身体可以保持一种“精神”，而身体是活着的和清醒的，两者是紧密相连的。当身体处于睡眠状态时，我无法猜测会发生什么，但当身体死亡时，身体的“机制”失去了，保持着灵魂，灵魂迟早会找到一个新的身体，也许会立即找到。

===University and work on computability===

===University and work on computability===

After Sherborne, Turing studied as an undergraduate from 1931 to 1934 at [[King's College, Cambridge]],<ref name="whoswho" /> where he was awarded first-class honours in mathematics. In 1935, at the age of 22, he was elected a [[Fellow]] of King's College on the strength of a dissertation in which he proved the [[central limit theorem]].<ref>See Section 3 of John Aldrich, "England and Continental Probability in the Inter-War Years", Journal Electronique d'Histoire des Probabilités et de la Statistique, vol. 5/2 [http://www.jehps.net/decembre2009.html Decembre 2009] {{Webarchive|url=https://web.archive.org/web/20180421105727/http://www.jehps.net/decembre2009.html |date=21 April 2018 }} Journal Electronique d'Histoire des Probabilités et de la Statistique</ref> See Section 3 of John Aldrich, "England and Continental Probability in the Inter-War Years", Journal Electronique d'Histoire des Probabilités et de la Statistique, vol. 5/2 Decembre 2009  Journal Electronique d'Histoire des Probabilités et de la Statistique Unknown to the committee, the theorem had already been proven, in 1922, by [[Jarl Waldemar Lindeberg]].<ref>{{Harvnb|Hodges|1983|pp=88, 94}}</ref>

After Sherborne, Turing studied as an undergraduate from 1931 to 1934 at [[King's College, Cambridge]],<ref name="whoswho" /> where he was awarded first-class honours in mathematics. In 1935, at the age of 22, he was elected a [[Fellow]] of King's College on the strength of a dissertation in which he proved the [[central limit theorem]].<ref>See Section 3 of John Aldrich, "England and Continental Probability in the Inter-War Years", Journal Electronique d'Histoire des Probabilités et de la Statistique, vol. 5/2 [http://www.jehps.net/decembre2009.html Decembre 2009] {{Webarchive|url=https://web.archive.org/web/20180421105727/http://www.jehps.net/decembre2009.html |date=21 April 2018 }} Journal Electronique d'Histoire des Probabilités et de la Statistique</ref> See Section 3 of John Aldrich, "England and Continental Probability in the Inter-War Years", Journal Electronique d'Histoire des Probabilités et de la Statistique, vol. 5/2 Decembre 2009  Journal Electronique d'Histoire des Probabilités et de la Statistique Unknown to the committee, the theorem had already been proven, in 1922, by [[Jarl Waldemar Lindeberg]].<ref>{{Harvnb|Hodges|1983|pp=88, 94}}</ref>