Putnam’s most famous contribution to mathematical logic was his role in investigating Hilbert’s Tenth Problem: Putnam is the ‘P’ in the MRDP Theorem. This volume, though, focuses mostly on his work on the philosophy of logic and mathematics. It is a somewhat bumpy ride. Of the twelve papers, two scarcely mention Putnam. Three others focus primarily on Putnam’s ‘Mathematics without Foundations’ (1967), but with no interplay between them. The remaining seven papers apparently tackle unrelated themes. Some of this disjointedness would doubtless have been addressed if Putnam had been able to compose his replies to these papers; sadly, he died before this was possible. In this review, I shall do my best to tease out some connections between the papers; and there are some really interesting connections to be made. Ultimately, though, my review will be only a little less bumpy than the volume itself.

中文翻译：

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Hilary Putnam on Logic and Mathematics，由 Geoffrey Hellman 和 Roy T. Cook 编辑

普特南对数理逻辑的最著名贡献是他在研究希尔伯特第十问题中的作用：普特南是 MRDP 定理中的“P”。然而，这本书主要关注他在逻辑和数学哲学方面的工作。这是一个有点颠簸的旅程。在十二篇论文中，有两篇几乎没有提到普特南。其他三个主要关注 Putnam 的“没有基础的数学”（1967），但它们之间没有相互作用。其余七篇论文显然涉及不相关的主题。如果普特南能够撰写对这些文件的答复，无疑会解决一些这种不连贯的问题。可悲的是，他在这成为可能之前就去世了。在这篇评论中，我将尽力梳理论文之间的一些联系；并且有一些非常有趣的联系需要建立。不过最终，