Constructibility (Perspectives in Mathematical Logic) 1st Edition by K. J. Devlin (PDF)

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Ebook Info

  • Published: 1984
  • Number of pages: 428 pages
  • Format: PDF
  • File Size: 3.58 MB
  • Authors: K. J. Devlin

Description

This book is intended to give a fairly comprehensive account of the theory of constructible sets at an advanced level. The intended reader is a graduate mathe­ matician with some knowledge of mathematical logic. In particular, we assume familiarity with the notions of formal languages, axiomatic theories in formal languages, logical deductions in such theories, and the interpretation oflanguages in structures. Practically any introductory text on mathematical logic will supply the necessary material. We also assume some familiarity with Zermelo-Fraenkel set theory up to the development or ordinal and cardinal numbers. Any number of texts would suffice here, for instance Devlin (1979) or Levy (1979). The book is not intended to provide a complete coverage of the many and diverse applications of the methods of constructibility theory, rather the theory itself. Such applications as are given are there to motivate and to exemplify the theory. The book is divided into two parts. Part A (“Elementary Theory”) deals with the classical definition of the La-hierarchy of constructible sets. With some prun­ ing, this part could be used as the basis of a graduate course on constructibility theory. Part B (“Advanced Theory”) deals with the fa-hierarchy and the Jensen “fine-structure theory”.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It’s not easy to write a good textbook in Math. Only few people are gifted in that ability. K. Devlin is one of them.The subject is not easy, but the auther leads you step by step to a full understanding of the constructible universe and the results related to it.You will find very clear proofs in it, a reasonable ordering of the material, and all the other things that you look for in a good Math book.Despite the high price, I reccomend buying it.

⭐It’s really an good book but too expensive.You can buy it in […]It just be $40 and there is a discount for ASL member.

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