证明与反驳

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• Errancer · 2022 年

  我会选拉卡托斯的《证明与反驳：数学发现的逻辑》（Proofs and Refutations: The Logic of Mathematical [Discovery]），它是以对话体形式展现定义欧拉公式的历史，揭示了数学作为一门科学富有人性的一面。我觉得它太棒了，因为数学拥有这种独特的地位……

  I would go with "Proofs and Refutations: The Logic of Mathematical" by Lakatos, its a dialog-form history of defining Euler's formula and it shows the human side of mathematics as a science. I think its great as math has this unique status…

• yantrams · 2018 年

  ……压根不会从我的 jupyter notebook 里删除/清除 cell。:) 以后回头看它们，重新体会那种解决问题的过程，总是既涨知识又有趣。附注：要是你还没看的话，应该去看看拉卡托斯的《证明与反驳》（Proofs and Refutations）。编辑：修正了提到的书名并加了点内容。

  …delete/clear cells at all from my jupyter notebooks. :) It is always informative/fun to refer to them at a later point in time to relive that problem solving experience. PS: In case you haven't, you should try Proofs and Refutations by Lakatos. Edit: Fixed name of the book mentioned and added some text.

• satai · 2017 年

  有趣的延伸阅读：伊姆雷·拉卡托斯——《证明与反驳》（Proofs and refutations）

  Funny related reading: Imre Lakatos - Proofs and refutations

• btilly · 2013 年

  我猜你还没读过伊姆雷·拉卡托斯的《证明与反驳》（Proofs and Refutations）。很值得一读。另外如果你读过数学史，就会了解无穷小、傅里叶级数、反证法引发的各种来回拉扯的基础性问题，以及……

  I'm guessing you have not read Proofs and Refutations by Imre Lakatos. It is worthwhile. Also if you read on the history of mathematics, the various back and forth foundational issues raised by infinitesmals, Fourier series, proof by contradiction and…

• kriro · 2013 年

  《证明与反驳》（Proofs and Refutations）是一本神作，我真的很喜欢那种风格。如果有人想找一本更轻量级的拉卡托斯入门读物，我强烈推荐《赞成方法与反对方法》（For and Against Method），里面概述了他与……的“争论”……

  "Proofs and Refutations" is a fantastic book, I really enjoy that style. If someone is looking for a more lightweight introduction to Lakatos I can highly recommend "For and Against Method" which outlines his "arguments" with…

• tfont · 2014 年

  ……数学史 - 威廉·邓纳姆（William Dunham）- 《天才引导的历程》（Journey Through Genius）- 菲利普·戴维斯与鲁本·赫什（Philip J. Davis & Reuben Hersh）- 《数学经验》（The Mathematical Experience）- 马丁·艾格纳与君特·齐格勒（Martin Aigner & Günter M. Ziegler）- 《数学天书中的证明》（Proofs from THE BOOK）- 伊姆雷·拉卡托斯（Imre Lakatos）- 《证明与反驳》（Proofs and Refutations）- 罗伯特·M·杨（Robert M. Young）- 《微积分漫话：连续与离散的交织》（Excursions in Calculus: An Interplay of the Continuous and the Discrete）- 柯朗与罗宾（Courant & Robbins）- 《什么是数学？》（What is Mathematics?）- 乔治·波利亚（George Pólya）- 《怎样解题》（How to Solve It）- 莫里斯·克莱因（Morris Kline）- 《克莱因数学：……

  …History of Mathematics - William Dunham - Journey Through Genius - Philip J. Davi & Reuben Hersh - The Mathematical Experience - Martin Aigner & Günter M. Ziegler - Proofs from the Book - Imre Lakatos - Proofs and Refutations - Robert M. Young - Excursions in Calculus: An Interplay of the Continuous and the Discrete - Courant & Robbins - What is Mathematics? - George Pólya - How to Solve It - Morris Kline - Kline’s Mathematics:…

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