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

universal-existential theory of all sets of countable ordinals. This model is arguably the long sought goal of the study of forcing axioms and;

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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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The Covering Property Axiom, CPA

Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC;

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The Axiom of Choice

introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters;

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Foundations of Geometry

/>Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and;

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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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Set Theory

manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory;

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Foundations of Mathematics

reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory;

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Axioms For Lattices And Boolean Algebras

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later;

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Axioms of Cooperative Decision Making

Axioms of Cooperative Decision Making provides a unified and comprehensive study of welfarism, cooperative games, public decision making;

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Axioms of Cooperative Decision Making

Axioms of Cooperative Decision Making provides a unified and comprehensive study of welfarism, cooperative games, public decision making;

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Set Theory

); 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;

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Notes On Forcing Axioms

books starts from the classical applications of Martin's axioms and ends with some of the most sophisticated applications of the Proper Forcing;

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Set Theory An Introduction To Independence Proofs

to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the;

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Speak to Me of Insanities

? In Speak to Me of Insanities, author Deick Conrad Williams explores the interconnected axioms of choice, determinacy, and causality, and he;

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Cambridge Tracts in Mathematics

'Martin's axiom' is one of the most fruitful axioms which have been devised to show that certain properties are insoluble in standard set;

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The Foundations of Socratic Ethics

Gomez-Lobo argues that behind the facade of Socratic irony lies a strictly deductive system of ethics suspended from two axioms--one;

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The Foundations of Socratic Ethics

Gomez-Lobo argues that behind the facade of Socratic irony lies a strictly deductive system of ethics suspended from two axioms--one;

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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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Sets

historical and philosophical development. The book differs from most books on set theory in that it aims in its approach to introduce the axioms;

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Reverse Mathematics

axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last;

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Encyclopedia of Mathematics and its Applications

, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are;

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The Document Methodology

processes supported by an information system on a computer network. The Document Methodology embodies five axioms that form the basis for its;

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Semantic Under determinacy and Communication

Combining a fresh, previously unexplored view of the subject with a detailed overview of the past and ongoing philosophical discussion on;

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Semantic Under determinacy and Communication

Combining a fresh, previously unexplored view of the subject with a detailed overview of the past and ongoing philosophical discussion on;

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Sets for Mathematics

study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The;

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Sets for Mathematics

study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The;

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