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Author:
Publisher: Academic Press
ISBN: 9780080873435
Category : Mathematics
Languages : en
Pages : 216
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Book Description
Simplified Independence Proofs
Author:
Publisher: Academic Press
ISBN: 9780080873435
Category : Mathematics
Languages : en
Pages : 216
Get Book
Book Description
Simplified Independence Proofs
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 Barkley Rosser (Sr., prof. mathematics)
Publisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 217
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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: Kenneth Kunen
Publisher: Elsevier Science Limited
ISBN: 9780444854018
Category : Mathematics
Languages : en
Pages : 313
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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: G. Menges
Publisher: Springer Science & Business Media
ISBN: 9401021597
Category : Social Science
Languages : en
Pages : 196
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Book Description
Under the title 'Information, Inference and Decision' this volume in the Theory and Decision Library presents some papers on issues from the borderland of statistical inference philosophy and epistemology, written by statisticians and decision theorists who belonged or are allied to the former Saarbriicken school of statistical decision theory. In the first part I make an attempt to outline an objective theory of inductive behaviour, on the basis of R. A. Fisher's statistical inference philosophy, on the one hand, and R. Carnap's inductive logic, on the other. A special problem arising in the context of the new theory, viz., the problem of vagueness of concepts (in particular in the social sciences) is treated separately by H. Skala and myself. B. Leiner has contributed some biographical and bibliographical notes on the objective theory of inductive behaviour. Part II is concerned with inference philosophy. D. A. S. Fraser, the founder of structural inference theory, characterizes and compares some inference philosophies, and discusses his own and the arguments of the critics of his structural theory. In my opinion, Fraser's structural infer ence theory is suited to complete Fisher's inference philosophy in some essential points, if not to replace it. An interesting task for future re search work is to establish the connection between Fraser's theory and Carnap's ideas in the framework of an objective theory of inductive behaviour.
Author: Akihiro Kanamori
Publisher: Springer Science & Business Media
ISBN: 3540888675
Category : Mathematics
Languages : en
Pages : 555
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Book Description
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Author: Isaac Taylor
Publisher:
ISBN:
Category :
Languages : en
Pages : 358
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Book Description
Author: Paul R. Halmos
Publisher: American Mathematical Soc.
ISBN: 9780821886090
Category : Mathematics
Languages : en
Pages : 348
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Book Description
Paul R. Halmos, eminent mathematician, is also a snapshot addict. For the past 45 years, Halmos has snapped mathematicians, their spouses, their brothers and sisters and other relatives, their offices, their dogs, and their carillon towers. From 6000 or so photographs in his collection, Halmos chose about 600 for this book. The pictures are candid shots showing mathematicians just being themselves, and the accompanying captions, in addition to identifying the subjects, contain anecdotes and bits of history that reveal Halmos' inimitable wit and insight.
