
零的故事
The nothing that is
Kaplan, Robert、Robert Kaplan、Ellen Kaplan · 初版 1999 年
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没有零,我们所熟知的数学就不复存在。而没有数学,我们对宇宙的理解将变得极其贫乏。但是,这个“无”、这个空心圆圈究竟从何而来?它到底意味着什么?对Kaplan而言,零的历史不仅是审视数学演进的镜头,更是窥探人类思维本质的窗口。他指出,数学的历史是一个递归抽象的过程:一旦创造出一个符号来代表某种概念,该符号本身就会催生出新的运算,进而引申出新的概念。其精妙之
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我最近读了 Gerd Gigerenzer、Peter M. Todd 和 ABC 研究小组写的《Simple Heuristics That Make Us Smart》,还有 Robert Kaplan 的《The Nothing That Is: A Natural History Of Zero》。两本都很精彩,读完让人元气满满。虽然两本都跟技术或创业没啥大关系,但我感觉自己更有准备、更有干劲去解决问题了……
I recently read Simple Heuristics That Make Us Smart by Gerd Gigerenzer, Peter M. Todd, and the ABC Research Group and The Nothing That Is: A Natural History Of Zero by Robert Kaplan. Both were great reads and left me energized. Neither had much to do with technology or startups. But I felt more prepared and motivated to solve problems…
Charles Seife 的《Zero: The Biography of a Dangerous Idea》是我读过的关于数学最引人入胜的书之一。在它的亚马逊评论区里,我也看到有人推荐 Robert Kaplan 的《The Nothing That Is: A Natural History of Zero》。
Zero: The Biography of a Dangerous Idea by Charles Seife is one of the most engaging books I've read about mathematics. In its Amazon reviews, I also see The Nothing That Is: A Natural History of Zero by Robert Kaplan recommended.
> 真的是这样吗?所有语言都有表示“无”或“没有”的词。只是随着时间的推移,人们对这个概念的理解各不相同罢了。或许可以看看 Kaplan 写的《The Nothing That Is: A Natural History of Zero》:* https://www.goodreads.com/book/show/3188988
> Is it though? All languages have the word 'nothing'. The interpretation of the concept that been different over time. See perhaps The Nothing That Is: A Natural History of Zero by Kaplan: * https://www.goodreads.com/book/show/3188988
……很喜欢探讨这个历史话题的这几本书:Charles Seife 的《Zero: The Biography of a Dangerous Idea》(http://www.amazon.com/Zero-Biography-Dangerous-Idea-ebook/dp...),以及 Robert Kaplan 的《The Nothing That Is: A Natural History of Zero》(http://www.amazon.com/Nothing-that-Natural-History-ebook/dp/...)
…enjoyed these books on the history of that question: Charles Seife's "Zero: The Biography of a Dangerous Idea" (http://www.amazon.com/Zero-Biography-Dangerous-Idea-ebook/dp...) Robert Kaplan's "The Nothing That Is: A Natural History of Zero" (http://www.amazon.com/Nothing-that-Natural-History-ebook/dp/...)
太巧了,我正好在读 Robert Kaplan 的《The Nothing that Is: A Natural History of Zero》,第 96 页的这段话简直就是完全切中当下的情况:“罗马人在计数上的怪癖加剧了这种回避。360 度……
It's a remarkable coincidence that I'm reading the book The Nothing that Is: A Natural History of Zero by Robert Kaplan, and this passage on page 96 seems precisely relevant to this situation: """A Roman idiosyncrasy about counting reinforced this avoidance. The 360 degrees…