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Proper and Improper Forcing

), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from;

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Notes On Forcing Axioms

-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique;

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The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal

-stationary ideal on 1; and the principle result of this monograph is the identification of a canonical model in which the Continuum Hypothesis;

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London Mathematical Society Lecture Note Series

Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms;

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Forcing, Iterated Ultrapowers, And Turing Degrees

Initiative for Infinity Logic Summer Schools. The major topics covered set theory and recursion theory, with particular emphasis on forcing, inner;

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Topology

between intuition on the one hand and a pure mathematical formulation on the other. Thus, we develop the axioms for a topological space, formulate;

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Set Theory

methods to prove the independence of various mathematical questions in measure theory and general topology. Before the chapters on forcing, there;

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E-recursion, Forcing And C*-algebras

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative;

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E-recursion, Forcing And C*-algebras

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative;

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Subsystems of Second Order Arithmetic

, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk;

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Subsystems of Second Order Arithmetic

, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk;

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The Axioms of Religion

volume. Annotations and explanatory notes that provide context are included when extra information benefits the reading of a 100-year-old text;

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Forcing Idealized

on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras;

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Set Theory An Introduction To Independence Proofs

-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing;

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The Foundations of Differential Geometry

greater part of Chapters III-V. The more general axioms, in terms of allowable co-ordinate systems and without restrictions on the connectivity;

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London Mathematical Society Lecture Note Series

it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and;

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Cambridge Tracts in Mathematics

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important;

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Cambridge Tracts in Mathematics

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important;

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Fast Track to Forcing

forcing is in this book. Many references are included to help the reader further explore the vast amount of research literature available on the;

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Fast Track to Forcing

forcing is in this book. Many references are included to help the reader further explore the vast amount of research literature available on the;

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Foundations of Geometry

In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the;

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Logic Colloquium 2006

, Hrushovski constructions (from model theory), algorithmic randomness, relative computability (from computability theory), strong forcing axioms and;

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Goedel s Theorems and Zermelo s Axioms

notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third;

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Goedel s Theorems and Zermelo s Axioms

notions of mathematical logic, including logical axioms, formal proofs and the basics of model theory. Building on this, in the second and third;

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The Zurich Axioms Harriman Definitive Edition The rules of risk and reward used by generations of Swiss bankers

, whose father was one of the original speculators who devised the Axioms, made his first capital gain on the stock market at the age of 13 and;

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Continuous Geometry

In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice;

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The Covering Property Axiom, CPA

be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides;

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