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Set Theory (Studies in Logic: Mathematical Logic and Foundations) de Kenneth Kunen

Descripción - Reseña del editor This book is designed for readers who know elementary mathematical logic and axiomatic set theory, and who want to learn more about set theory. The primary focus of the book is on the independence proofs. Most famous among these is the independence of the Continuum Hypothesis (CH); that is, there are models of the axioms of set theory (ZFC) in which CH is true, and other models in which CH is false. More generally, cardinal exponentiation on the regular cardinals can consistently be anything not contradicting the classical theorems of Cantor and König. The basic methods for the independence proofs are the notion of constructibility, introduced by Gödel, and the method of forcing, introduced by Cohen. This book describes these methods in detail, verifi es the basic independence results for cardinal exponentiation, and also applies these methods to prove the independence of various mathematical questions in measure theory and general topology. Before the chapters on forcing, there is a fairly long chapter on 'infi nitary combinatorics'. This consists of just mathematical theorems (not independence results), but it stresses the areas of mathematics where set-theoretic topics (such as cardinal arithmetic) are relevant. There is, in fact, an interplay between infi nitary combinatorics and independence proofs. Infi nitary combinatorics suggests many set-theoretic questions that turn out to be independent of ZFC, but it also provides the basic tools used in forcing arguments. In particular, Martin's Axiom, which is one of the topics under infi nitary combinatorics, introduces many of the basic ingredients of forcing.

Set theory studies in logic mathematical logic and set theory studies in logic mathematical logic and foundations kunen, kenneth isbn 9781848900509 kostenloser versand für alle bücher mit versand und verkauf duch Set theory studies in logic mathematical logic and long chapter i called background material is rather similar to great chapter i on zfc set theory in kunens excellent 2009 book the foundations of mathematics logic s, which i have read thru 100 page chapter ii on model theory and proof theory, with chapter ii twice, and finally read short chapter iii on philosophy of math Set theory studies in logic mathematical logic and initial review this will be a short initial review prior to reading any of this very recently acquired book this book by master expositor kenneth kunen, emeritus at university of wisconsinmadison, is a newly rewritten 2011 update of his well regarded, rather standard 1980 edition, still available at set theory an introduction to independence proofs studies in logic and the foundations of

Academiaedu log in academiaedu is a place to share and follow research Set theory studies in logic mathematical logic and buy set theory studies in logic mathematical logic and foundations revised ed by kunen, kenneth isbn 9781848900509 from s book store everyday low prices and free delivery on eligible orders Elements of set theory by herbert b enderton books on studies in logic and the foundations of mathematics, volume 102 set theory an introduction to independence proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing the book first tackles the foundations of set theory and infinitary combinatorics

Detalles del Libro

• Name: Set Theory (Studies in Logic: Mathematical Logic and Foundations)
  
• Autor: Kenneth Kunen
  
• Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
  
• Tamaño del archivo: 18 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

Descargar Ebook Set Theory (Studies in Logic: Mathematical Logic and Foundations) de Kenneth Kunen PDF [ePub Mobi] Gratis

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