The Determinacy Of Long Games

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The Determinacy of Long Games

Author : Itay Neeman
Publisher : Walter de Gruyter
ISBN 13 : 3110200066
Total Pages : 333 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis The Determinacy of Long Games by : Itay Neeman

Download or read book The Determinacy of Long Games written by Itay Neeman and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the author develops and applies methods for proving, from large cardinals, the determinacy of definable games of countable length on natural numbers. The determinacy is ultimately derived from iteration strategies, connecting games on natural numbers with the specific iteration games that come up in the study of large cardinals. The games considered in this text range in strength, from games of fixed countable length, through games where the length is clocked by natural numbers, to games in which a run is complete when its length is uncountable in an inner model (or a pointclass) relative to the run. More can be done using the methods developed here, reaching determinacy for games of certain length. The book is largely self-contained. Only graduate level knowledge of modern techniques in large cardinals and basic forcing is assumed. Several exercises allow the reader to build on the results in the text, for example connecting them with universally Baire and homogeneously Suslin sets. - Important contribution to one of the main features of current set theory, as initiated and developed by Jensen, Woodin, Steel and others.

The Dichotomy in the Determinacy of Certain Two-person Infinite Games with Moves from (0,1)

Author : Deborah Sue Fraker
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (52 download)

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Book Synopsis The Dichotomy in the Determinacy of Certain Two-person Infinite Games with Moves from (0,1) by : Deborah Sue Fraker

Download or read book The Dichotomy in the Determinacy of Certain Two-person Infinite Games with Moves from (0,1) written by Deborah Sue Fraker and published by . This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large Cardinals, Determinacy and Other Topics

Author : Alexander S. Kechris
Publisher : Cambridge University Press
ISBN 13 : 1107182999
Total Pages : 317 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Large Cardinals, Determinacy and Other Topics by : Alexander S. Kechris

Download or read book Large Cardinals, Determinacy and Other Topics written by Alexander S. Kechris and published by Cambridge University Press. This book was released on 2020-11-05 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.

Questions in Descriptive Set-theory and the Determinacy of Infinite Games

Author : Ramez Labib Sami
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Questions in Descriptive Set-theory and the Determinacy of Infinite Games by : Ramez Labib Sami

Download or read book Questions in Descriptive Set-theory and the Determinacy of Infinite Games written by Ramez Labib Sami and published by . This book was released on 1976 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinal Definability and Recursion Theory

Author : Alexander S. Kechris
Publisher : Cambridge University Press
ISBN 13 : 1107033403
Total Pages : 552 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Ordinal Definability and Recursion Theory by : Alexander S. Kechris

Download or read book Ordinal Definability and Recursion Theory written by Alexander S. Kechris and published by Cambridge University Press. This book was released on 2016-01-11 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.

The Ultrapower Axiom

Author : Gabriel Goldberg
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110719738
Total Pages : 325 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis The Ultrapower Axiom by : Gabriel Goldberg

Download or read book The Ultrapower Axiom written by Gabriel Goldberg and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-21 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about strong axioms of infinity (also known as large cardinal axioms) in set theory, and the ongoing search for natural models of these axioms. Assuming the Ultrapower Axiom, we solve various classical problems in set theory (e.g., the Generalized Continuum Hypothesis) and develop a theory of large cardinals that is much clearer than the theory that can be developed using only the standard axioms.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1226 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sets and Proofs

Author : S. Barry Cooper
Publisher : Cambridge University Press
ISBN 13 : 9780521635493
Total Pages : 450 pages
Book Rating : 4.6/5 (354 download)

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Book Synopsis Sets and Proofs by : S. Barry Cooper

Download or read book Sets and Proofs written by S. Barry Cooper and published by Cambridge University Press. This book was released on 1999-06-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of two volumes providing a comprehensive guide to mathematical logic.

Set Theory

Author : Ralf Schindler
Publisher : Springer
ISBN 13 : 3319067257
Total Pages : 335 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Set Theory by : Ralf Schindler

Download or read book Set Theory written by Ralf Schindler and published by Springer. This book was released on 2014-05-22 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory. The following topics are covered: • Forcing and constructability • The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal • Fine structure theory and a modern approach to sharps • Jensen’s Covering Lemma • The equivalence of analytic determinacy with sharps • The theory of extenders and iteration trees • A proof of projective determinacy from Woodin cardinals. Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.

Interpreting Gödel

Author : Juliette Kennedy
Publisher : Cambridge University Press
ISBN 13 : 1139991752
Total Pages : 293 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Interpreting Gödel by : Juliette Kennedy

Download or read book Interpreting Gödel written by Juliette Kennedy and published by Cambridge University Press. This book was released on 2014-08-21 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.

Sets and Extensions in the Twentieth Century

Author :
Publisher : Elsevier
ISBN 13 : 0080930662
Total Pages : 878 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Sets and Extensions in the Twentieth Century by :

Download or read book Sets and Extensions in the Twentieth Century written by and published by Elsevier. This book was released on 2012-01-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th century Contains the latest scholarly discoveries and interpretative insights

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

Author : W. Hugh Woodin
Publisher : Walter de Gruyter
ISBN 13 : 3110804735
Total Pages : 944 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal by : W. Hugh Woodin

Download or read book The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal written by W. Hugh Woodin and published by Walter de Gruyter. This book was released on 2013-02-01 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.

Logic Colloquium '01

Author : Matthias Baaz
Publisher : Cambridge University Press
ISBN 13 : 1108695442
Total Pages : pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Logic Colloquium '01 by : Matthias Baaz

Download or read book Logic Colloquium '01 written by Matthias Baaz and published by Cambridge University Press. This book was released on 2017-03-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twentieth publication in the Lecture Notes in Logic series, contains the proceedings of the 2001 European Summer Meeting of the Association for Symbolic Logic, held at the Vienna University of Technology. Two long articles present accessible expositions on resolution theorem proving and the determinacy of long games. The remaining articles cover separate research topics in many areas of mathematical logic, including applications in computer science, proof theory, set theory, model theory, computability theory, linguistics and aspects of philosophy. This collection will interest not only mathematical logicians but also philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians working in algebra, abstract analysis and topology.

Statistics, Probability, and Game Theory

Author : David Blackwell
Publisher : IMS
ISBN 13 : 9780940600423
Total Pages : 428 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Statistics, Probability, and Game Theory by : David Blackwell

Download or read book Statistics, Probability, and Game Theory written by David Blackwell and published by IMS. This book was released on 1996 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the 26 papers are research reports on probability, statistics, gambling, game theory, Markov decision processes, set theory, and logic. But they also include reviews on comparing experiments, games of timing, merging opinions, associated memory models, and SPLIF's; historical views of Carnap, von Mises, and the Berkeley Statistics Department; and a brief history, appreciation, and bibliography of Berkeley professor Blackwell. A sampling of titles turns up The Hamiltonian Cycle Problem and Singularly Perturbed Markov Decision Process, A Pathwise Approach to Dynkin Games, The Redistribution of Velocity: Collision and Transformations, Casino Winnings at Blackjack, and Randomness and the Foundations of Probability. No index. Annotation copyrighted by Book News, Inc., Portland, OR

The Problem of the Determinacy of Infinite Games from an Intuitionistic Point of View

Author : Wim Veldman
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (695 download)

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Book Synopsis The Problem of the Determinacy of Infinite Games from an Intuitionistic Point of View by : Wim Veldman

Download or read book The Problem of the Determinacy of Infinite Games from an Intuitionistic Point of View written by Wim Veldman and published by . This book was released on 2004 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Bulletin of Symbolic Logic

Author :
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis The Bulletin of Symbolic Logic by :

Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2009 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinal Computability

Author : Merlin Carl
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110496151
Total Pages : 343 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Ordinal Computability by : Merlin Carl

Download or read book Ordinal Computability written by Merlin Carl and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-23 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.