Boolean-valued Models and Independence Proofs in Set Theory PDF Download
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Author: John Lane Bell
Publisher: Oxford University Press, USA
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 158
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Book Description
Author: John Lane Bell
Publisher: Oxford University Press, USA
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 158
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Book Description
Author: John L. Bell
Publisher: OUP Oxford
ISBN: 0191620823
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,. It provides an exposition of some of the most important results in set theory obtained in the 20th century: the independence of the continuum hypothesis and the axiom of choice. Aimed at graduate students and researchers in mathematics, mathematical logic, philosophy, and computer science, the third edition has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory. It covers recent developments in the field and contains numerous exercises, along with updated and increased coverage of the background material. This new paperback edition includes additional corrections and, for the first time, will make this landmark text accessible to students in logic and set theory.
Author: John Barkley Rosser
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
This text shows how to construct models for set theory in which the truth values of statements are elements of a Boolean algebra.
Author: John L. Bell
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Book Description
Author: K. Kunen
Publisher: Elsevier
ISBN: 0080570585
Category : Mathematics
Languages : en
Pages : 330
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Book Description
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. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.
Author: John Barkley Rosser (Sr., prof. mathematics)
Publisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 217
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Book Description
Author:
Publisher: Academic Press
ISBN: 9780080873435
Category : Mathematics
Languages : en
Pages : 216
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Book Description
Simplified Independence Proofs
Author: Andreas Blass
Publisher: American Mathematical Soc.
ISBN: 0821824686
Category : Mathematics
Languages : en
Pages : 134
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Book Description
Author: María Manzano
Publisher: Oxford University Press
ISBN: 9780198538516
Category : Computers
Languages : en
Pages : 268
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Book Description
Model theory, which is concerned with the relationship between mathematical structures and logic, now has a wide range of applications in areas such as computing, philosophy, and linguistics. This book, suitable for both mathematicians and students from outside the field, provides a clear and readable introduction to the subject.
Author: Anatoly G. Kusraev
Publisher: Springer Nature
ISBN: 3030497631
Category : Mathematics
Languages : en
Pages : 337
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Book Description
This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.
