我算不上什么数学家，但 Morris Kline 的《Mathematics: The Loss of Certainty》（http://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pape...）在数学的发展和现状方面让我很有启发。简短梗概：……
I'm not much of a mathematician, but I found "Mathematics: The Loss of Certainty" by Morris Kline (http://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pape...) very insightful in regards to the development and current state of mathematics. A brief synopsis:…
…criteria for what constitutes a rigorous proof continually evolves, and has undergone tremendous change since Euclid. Morris Kline has a good semi-popular account of this history [http://www.amazon.com/Mathematics-Loss-Certainty-Galaxy-Book...].
这个讨论似乎正适合提一下 Morris Kline 的《Mathematics: The Loss of Certainty》（https://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pap...）。作为一个非数学家，我对其中许多概念的接触都只来自那本书，我忍不住看到……
This discussion seems like an apt place to drop Morris Kline's "Mathematics: The Loss of Certainty" (https://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pap...). As a non-mathematician whose only exposure with a lot of these ideas is through that book, I can't help but see…
正在读 Morris Kline 的《Loss of certainty》——一本优美、非常易读的著作，阐明了数学在整个数学史中与“真理”和“现实”概念的关系。https://www.amazon.com/dp/0195030850/ref=cm_sw_r_cp_api_i_aJ...
Currently reading Morris Kline’s “Loss of certainty” - a beautiful very readable work that elucidates the relationship of Mathematics with concepts of ‘truth’ and ‘reality’ throughout mathematical history. https://www.amazon.com/dp/0195030850/ref=cm_sw_r_cp_api_i_aJ...
我正在读的这本书——Morris Kline 的《Mathematics, the loss of certainity》——顺带提到了狄德罗。他在 1750 年代对数学的看法与 20 世纪形式主义者的看法相似，这相当引人入胜。
There is a passing mention of Diderot in this book I'm currently reading - Mathematics, the loss of certainity by Morris Kline. It is quite fascinating to see how his view on Mathematics in 1750s was similar to that of the 20th century formalists.
《Mathematics for the Non-Mathematician》——Morris Kline。老书但好书。别指望文笔引人入胜。其实，别指望一次能读超过几节。但如果你能读完它……
"Mathematics for the Non-Mathematician" - Morris Kline. An oldie but a goodie. Don't expect a gripping writing style. Actually, don't expect to read more than a few sections at a time. But if you get through it you…
我算不上什么数学家，但 Morris Kline 的《Mathematics: The Loss of Certainty》（http://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pape...）在数学的发展和现状方面让我很有启发。简短梗概：……
I'm not much of a mathematician, but I found "Mathematics: The Loss of Certainty" by Morris Kline (http://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pape...) very insightful in regards to the development and current state of mathematics. A brief synopsis:…
……什么才算严谨证明的标准在不断演变，自欧几里得以来经历了巨大变化。Morris Kline 对这段历史有一个不错的半通俗叙述 [http://www.amazon.com/Mathematics-Loss-Certainty-Galaxy-Book...]。
…criteria for what constitutes a rigorous proof continually evolves, and has undergone tremendous change since Euclid. Morris Kline has a good semi-popular account of this history [http://www.amazon.com/Mathematics-Loss-Certainty-Galaxy-Book...].
这个讨论似乎正适合提一下 Morris Kline 的《Mathematics: The Loss of Certainty》（https://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pap...）。作为一个非数学家，我对其中许多概念的接触都只来自那本书，我忍不住看到……
This discussion seems like an apt place to drop Morris Kline's "Mathematics: The Loss of Certainty" (https://www.amazon.com/Mathematics-Loss-Certainty-Oxford-Pap...). As a non-mathematician whose only exposure with a lot of these ideas is through that book, I can't help but see…
正在读 Morris Kline 的《Loss of certainty》——一本优美、非常易读的著作，阐明了数学在整个数学史中与“真理”和“现实”概念的关系。https://www.amazon.com/dp/0195030850/ref=cm_sw_r_cp_api_i_aJ...
Currently reading Morris Kline’s “Loss of certainty” - a beautiful very readable work that elucidates the relationship of Mathematics with concepts of ‘truth’ and ‘reality’ throughout mathematical history. https://www.amazon.com/dp/0195030850/ref=cm_sw_r_cp_api_i_aJ...
我正在读的这本书——Morris Kline 的《Mathematics, the loss of certainity》——顺带提到了狄德罗。他在 1750 年代对数学的看法与 20 世纪形式主义者的看法相似，这相当引人入胜。
There is a passing mention of Diderot in this book I'm currently reading - Mathematics, the loss of certainity by Morris Kline. It is quite fascinating to see how his view on Mathematics in 1750s was similar to that of the 20th century formalists.
《Mathematics for the Non-Mathematician》——Morris Kline。老书但好书。别指望文笔引人入胜。其实，别指望一次能读超过几节。但如果你能读完它……
"Mathematics for the Non-Mathematician" - Morris Kline. An oldie but a goodie. Don't expect a gripping writing style. Actually, don't expect to read more than a few sections at a time. But if you get through it you…