Set Theory

Set Theory pdf epub mobi txt 電子書 下載2025

Professor, University of Wisconsin

305 Van Vleck Hall

480 Lincoln Drive

Madison, WI 53706

E-Mail: kunen@math.wisc.edu

Telephone: (608) 263-4831

Ph.D., Stanford University, 1968

Interests: set theory, automated deduction, topology, measure theory.

出版者:North Holland
作者:Kenneth Kunen
出品人:
頁數:314
译者:
出版時間:1983-12-15
價格:USD 99.95
裝幀:Paperback
isbn號碼:9780444868398
叢書系列:Studies in Logic and the Foundations of Mathematics
圖書標籤:
  • 集閤論 
  • 邏輯學 
  • 數學 
  • 數理邏輯 
  • Mathematics-Set_Theory 
  • Math 
  • 邏輯 
  • 語言學 
  •  
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Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose research is sensitive to axiomatics. The readers should have had the equivalent of an undergraduate course on cardinals and ordinals, but no specific training in logic is necessary. The volume includes a discussion of modern techniques in forcing, as well as coverage of infinitary combinatorics and its relevance to independence proofs. The work also features a lucid treatment of basic facts about constructibility.

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用戶評價

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集閤論入門兩條門徑Jech大部頭和這本Kunen。 眾人評價,“難讀,但清晰,精彩”,我認同; 更有人評價,“不讀至少3遍,不可能真正讀懂”,我更認同。 但能讀懂Kunen,是學習數理邏輯同學最熱切或也是最難實現的願望之一。

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前麵兩章似乎比要比jech可讀性更強(盡管一些結論沒有證明或直接留做瞭習題),主要內容是介紹力迫法。讀者最好有“普通集閤論”(不講獨立性證明,但比較詳細的介紹序數和基數)的基礎。

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enderton的那本讀完瞭 這本當作二刷集閤論+進階讀物

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集閤論入門兩條門徑Jech大部頭和這本Kunen。 眾人評價,“難讀,但清晰,精彩”,我認同; 更有人評價,“不讀至少3遍,不可能真正讀懂”,我更認同。 但能讀懂Kunen,是學習數理邏輯同學最熱切或也是最難實現的願望之一。

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比jech的更難

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