……你能做到，你也能做到”。Denis Johnson 的《耶稣之子》（Jesus' Son）：读起来很爽但也挺残酷的。这是我第一次看 DJ 的作品，感觉有种 Cormac McCarthy 的味儿。Cormac McCarthy 的《血色子午线》（Blood Meridian）：神作。法官那个角色绝了。Stuart Shapiro 的《思考数学》（Thinking About Mathematics）：强烈推荐给任何对数学哲学问题感兴趣的人。Shapiro 写得清晰、简练，读起来非常顺畅。《骗子俱乐部》（The Liars' Club）……
…can do it, you can do it". Jesus' Son by Denis Johnson: A nice if brutal read. It was my first foray in DJ. I felt Cormac McCarthyish vibes. Blood Meridian by Cormac McCarthy: A classic. The Judge. Thinking About Mathematics by Stuart Shapiro: Highly recommended for anyone interested in the philosophical questions of mathematics. Shapiro writes clearly, concisely, and in a manner that is easy to read. The Liars' Club by…
……数学。人们在这个问题上肯定会有分歧，就像他们在哲学的几乎其他所有领域都有分歧一样。但有一些书能让你对各种不同观点有个全面的综览，比如 Shapiro 的《思考数学》（Thinking about mathematics）——读完绝对能让你达到“对数学哲学略知一二”的水平。我读数学硕士那会儿，我们经常和哲学系的学生一起开联合研讨会……
…mathematics. People are going to disagree about that, just like they disagree about almost every other part of philosophy. But there are books which give you a survey of different views, such as Shapiro’s “Thinking about mathematics” — which surely will bring you to “I know a bit about the philosophy of mathematics”-level. During my time as a master student in mathematics we used to have a joint seminar with students from philosophy…
……数学：柏拉图主义 vs. 形式主义。有人发了 BBC 那个视频的链接，挺棒的，不过还有本非常精彩的书也探讨了这个以及数学哲学的很多其他方面：https://www.amazon.com/Thinking-about-Mathematics-Philosophy... （抱歉甩了个链接）我强烈向任何哪怕对这个领域有一丁点兴趣的人推荐这本书。
…mathematics: Platonism vs. Formalism Someone linked the BBC video, which is great, but there’s also a wonderful book that discusses this and many other facets of mathematical philosophy: https://www.amazon.com/Thinking-about-Mathematics-Philosophy... (Sorry for the link spew) I highly recommend that book to anyone remotely interested in the field.
……它对社会关系的影响？还是说那些让宗教左右自己社会关系的人跟我一样疯？亦或是这个论点本身就有漏洞？（更新：不行，我回答不了这些问题）。我脑子里突然浮现出 Shapiro 的《思考数学》（Thinking about mathematics），如果我没记错的话，他在前几章很好地概述了哲学家们对数字的看法、数字的领域，以及数字到底“存不存在”。我觉得其中有些内容可以……
…it's impact on social relationships? Or are people who let religion shape their social relationships as mad as I am? Or is the argument flawed? (edit: No, I can not answer these question). Shapiro's "Thinking about mathematics" springs to my mind, IIRC in the first chapter(s) he gives a nice overview about what philosophers thought about numbers, the realm of numbers and whether they "exist" or not. I think some of that could…
有些哲学家对逻辑的痴迷程度，完全不亚于你对一个纯数学家的预期 ;-) 如果你感兴趣的话，Shapiro 的《思考数学：数学哲学》（Thinking about Mathematics: The Philosophy of Mathematics）对这个主题做了很好的入门介绍，讨论了好几个哲学流派及其代表思想家（而且没有强行把作者自己的观点灌输给读者）。我们开过一次研讨会……
There are those philosophers which are as concerned with logic as you'd expect from a pure mathematician ;-) If you're interested, Shapiro's "Thinking about Mathematics: The Philosophy of Mathematics" gives a nice introduction into that topic, discussing several schools of philosophy and their thinkers (without forcing the authors pov on the reader). We had a seminar…
同理，我最近正在读 Stewart Shapiro 的《思考数学》（Thinking About Mathematics），已经读了一半了。这是一本了解各种数学哲学的绝佳入门书：逻辑主义、形式主义、直觉主义、结构主义，基本上涵盖了所有不同类型的哲学立场……
In a similar vein, I'm currently halfway through 'Thinking About Mathematics' by Stewart Shapiro. It's a great introduction to the various philosophies of mathematics: logicism, formalism, intuitionism, structuralism, basically all of the different sorts of philosophical positions…
……你能做到，你也能做到”。Denis Johnson 的《耶稣之子》（Jesus' Son）：读起来很爽但也挺残酷的。这是我第一次看 DJ 的作品，感觉有种 Cormac McCarthy 的味儿。Cormac McCarthy 的《血色子午线》（Blood Meridian）：神作。法官那个角色绝了。Stuart Shapiro 的《思考数学》（Thinking About Mathematics）：强烈推荐给任何对数学哲学问题感兴趣的人。Shapiro 写得清晰、简练，读起来非常顺畅。《骗子俱乐部》（The Liars' Club）……
…can do it, you can do it". Jesus' Son by Denis Johnson: A nice if brutal read. It was my first foray in DJ. I felt Cormac McCarthyish vibes. Blood Meridian by Cormac McCarthy: A classic. The Judge. Thinking About Mathematics by Stuart Shapiro: Highly recommended for anyone interested in the philosophical questions of mathematics. Shapiro writes clearly, concisely, and in a manner that is easy to read. The Liars' Club by…
……数学。人们在这个问题上肯定会有分歧，就像他们在哲学的几乎其他所有领域都有分歧一样。但有一些书能让你对各种不同观点有个全面的综览，比如 Shapiro 的《思考数学》（Thinking about mathematics）——读完绝对能让你达到“对数学哲学略知一二”的水平。我读数学硕士那会儿，我们经常和哲学系的学生一起开联合研讨会……
…mathematics. People are going to disagree about that, just like they disagree about almost every other part of philosophy. But there are books which give you a survey of different views, such as Shapiro’s “Thinking about mathematics” — which surely will bring you to “I know a bit about the philosophy of mathematics”-level. During my time as a master student in mathematics we used to have a joint seminar with students from philosophy…
……数学：柏拉图主义 vs. 形式主义。有人发了 BBC 那个视频的链接，挺棒的，不过还有本非常精彩的书也探讨了这个以及数学哲学的很多其他方面：https://www.amazon.com/Thinking-about-Mathematics-Philosophy... （抱歉甩了个链接）我强烈向任何哪怕对这个领域有一丁点兴趣的人推荐这本书。
…mathematics: Platonism vs. Formalism Someone linked the BBC video, which is great, but there’s also a wonderful book that discusses this and many other facets of mathematical philosophy: https://www.amazon.com/Thinking-about-Mathematics-Philosophy... (Sorry for the link spew) I highly recommend that book to anyone remotely interested in the field.
……它对社会关系的影响？还是说那些让宗教左右自己社会关系的人跟我一样疯？亦或是这个论点本身就有漏洞？（更新：不行，我回答不了这些问题）。我脑子里突然浮现出 Shapiro 的《思考数学》（Thinking about mathematics），如果我没记错的话，他在前几章很好地概述了哲学家们对数字的看法、数字的领域，以及数字到底“存不存在”。我觉得其中有些内容可以……
…it's impact on social relationships? Or are people who let religion shape their social relationships as mad as I am? Or is the argument flawed? (edit: No, I can not answer these question). Shapiro's "Thinking about mathematics" springs to my mind, IIRC in the first chapter(s) he gives a nice overview about what philosophers thought about numbers, the realm of numbers and whether they "exist" or not. I think some of that could…
有些哲学家对逻辑的痴迷程度，完全不亚于你对一个纯数学家的预期 ;-) 如果你感兴趣的话，Shapiro 的《思考数学：数学哲学》（Thinking about Mathematics: The Philosophy of Mathematics）对这个主题做了很好的入门介绍，讨论了好几个哲学流派及其代表思想家（而且没有强行把作者自己的观点灌输给读者）。我们开过一次研讨会……
There are those philosophers which are as concerned with logic as you'd expect from a pure mathematician ;-) If you're interested, Shapiro's "Thinking about Mathematics: The Philosophy of Mathematics" gives a nice introduction into that topic, discussing several schools of philosophy and their thinkers (without forcing the authors pov on the reader). We had a seminar…
同理，我最近正在读 Stewart Shapiro 的《思考数学》（Thinking About Mathematics），已经读了一半了。这是一本了解各种数学哲学的绝佳入门书：逻辑主义、形式主义、直觉主义、结构主义，基本上涵盖了所有不同类型的哲学立场……
In a similar vein, I'm currently halfway through 'Thinking About Mathematics' by Stewart Shapiro. It's a great introduction to the various philosophies of mathematics: logicism, formalism, intuitionism, structuralism, basically all of the different sorts of philosophical positions…