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The Higher Infinite

Author : Akihiro Kanamori
ISBN : 9783540888666
Genre : Mathematics
File Size : 33.70 MB
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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.
Category: Mathematics

Set Theory And Its Applications

Author : Liljana Babinkostova
ISBN : 9780821848128
Genre : Mathematics
File Size : 72.54 MB
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This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.
Category: Mathematics

Logic Colloquium 2007

Author : Françoise Delon
ISBN : 9781139488938
Genre : Mathematics
File Size : 48.94 MB
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The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.
Category: Mathematics

Combinatorial Set Theory

Author : Lorenz J. Halbeisen
ISBN : 1447121732
Genre : Mathematics
File Size : 48.89 MB
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This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
Category: Mathematics

Foundations Of The Formal Sciences V

Author : Stefan Bold
ISBN : 1904987753
Genre : Computers
File Size : 43.12 MB
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Infinity can feature in games in various forms: we can play games of infinite length, with infinitely many players, or allow for infinitely many moves or strategies. Games of infinite length have been thoroughly investigated by mathematicians and have played a central role in mathematical logic. However, their applications go far beyond mathematics: they feature prominently in theoretical computer science, philosophical Gedankenexperiments, as limit cases in economical applications, and in many other applications. The conference Foundations of the Formal Sciences V focused on games of infinite length, but was very opn to include other notions of infinity in games as well.
Category: Computers

The Bulletin Of Symbolic Logic

Author :
ISBN : UOM:39015079802636
Genre : Logic, Symbolic and mathematical
File Size : 80.85 MB
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Category: Logic, Symbolic and mathematical

Measures In Mice

Author : Farmer Salamander Schlutzenberg
ISBN : UCAL:C3510340
Genre :
File Size : 84.6 MB
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