
作为代数的逻辑
Logic as algebra
Paul R. Halmos · 初版 1998 年
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出版方简介(未经编辑的出版方数据) 这是一本不同于其他书籍的现代逻辑导论,它从代数的视角来探讨逻辑。这意味着,若从大家熟悉的代数角度切入,逻辑学的概念和结论就会变得容易理解得多。本书脱胎于 Paul Halmos 的课程,延续了他标志性的生动且具启发性的写作风格,面向包括数学、哲学、计算机科学、语言学和工程学领域的学生、教师以及业余爱好者在内的广泛读者;他们都需要去深入掌握……
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……三种风格,但遗憾的是最后一种没有教材。我并不怎么感冒 logic/set theory,但在我看来,对待数理逻辑最好的切入点还是把它看作代数。沿着这条路子,Halmos 的《Logic as Algebra》就正合我意,而且文笔极佳。这本书里没有任何真正的集合论内容(比如关于大基数的),但胜在短小精悍。[1]: http://jeremykun.com/2014/02/16/elliptic-curves-as-algebraic...
…three styles, but the last unfortunately had no textbook. I'm not a huge fan of logic/set theory, but again the best treatment I can see for basic logic is to view it as algebra. In that vein, Halmos's "Logic as Algebra" was all I needed, and the prose is superb. This book does not contain any real set theory (say, about higher cardinals), but it's nice and short. [1]: http://jeremykun.com/2014/02/16/elliptic-curves-as-algebraic...
……在他的访谈中,他经常提到 George Chrystal 的《Algebra》是奠基之作。他正是用了这些思想在 C++ 中实现了 STL。另外相关的(可能?)还有 Paul Halmos 和 Steven Givant 写的《Logic as Algebra》。MAA 上的书评见 https://old.maa.org/press/maa-reviews/logic-as-algebra
…his interviews he often mentions George Chrystal's Algebra books as foundational. These are the ideas that he used to implement STL in C++. Also related (maybe?) is Paul Halmos and Steven Givant's book Logic as Algebra. MAA review at https://old.maa.org/press/maa-reviews/logic-as-algebra