The Notre Dame Lectures

Lecture Notes in Logic, 18

Author: Peter Cholak

Publisher: A K Peters/CRC Press

ISBN: 9781568812496

Category: Mathematics

Page: 200

View: 5783

In fall 2000, the Notre Dame logic community hosted Greg Hjorth, Rodney G. Downey, Zoé Chatzidakis, and Paola D'Aquino as visiting lecturers. Each of them presented a month long series of expository lectures at the graduate level. The articles in this volume are refinements of these excellent lectures.

Logic Colloquium 2006

Author: S. Barry Cooper

Publisher: Cambridge University Press

ISBN: 0521110815

Category: Mathematics

Page: 373

View: 9107

The 2006 proceedings from the Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium.

Invariant Descriptive Set Theory

Author: Su Gao

Publisher: CRC Press

ISBN: 9781584887942

Category: Mathematics

Page: 392

View: 6847

Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields. After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations. By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.

Computation and Logic in the Real World

Third Conference on Computability in Europe, CiE 2007, Siena, Italy, June 18-23, 2007, Proceedings

Author: Barry S. Cooper,Benedikt Löwe,Andrea Sorbi

Publisher: Springer

ISBN: 354073001X

Category: Computers

Page: 826

View: 1970

This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.

Computability and Complexity

Essays Dedicated to Rodney G. Downey on the Occasion of His 60th Birthday

Author: Adam Day,Michael Fellows,Noam Greenberg,Bakhadyr Khoussainov,Alexander Melnikov,Frances Rosamond

Publisher: Springer

ISBN: 3319500627

Category: Computers

Page: 755

View: 7408

This Festschrift is published in honor of Rodney G. Downey, eminent logician and computer scientist, surfer and Scottish country dancer, on the occasion of his 60th birthday. The Festschrift contains papers and laudations that showcase the broad and important scientific, leadership and mentoring contributions made by Rod during his distinguished career. The volume contains 42 papers presenting original unpublished research, or expository and survey results in Turing degrees, computably enumerable sets, computable algebra, computable model theory, algorithmic randomness, reverse mathematics, and parameterized complexity, all areas in which Rod Downey has had significant interests and influence. The volume contains several surveys that make the various areas accessible to non-specialists while also including some proofs that illustrate the flavor of the fields.

Algorithmic Randomness and Complexity

Author: Rodney G. Downey,Denis R. Hirschfeldt

Publisher: Springer Science & Business Media

ISBN: 0387684417

Category: Computers

Page: 855

View: 9922

Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

The Bulletin of Symbolic Logic

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: N.A

View: 1203

Proceedings of the International Congress of Mathematicians

Madrid, August 22-30, 2006

Author: Marta Sanz Solé

Publisher: Amer Mathematical Society

ISBN: 9783037190227

Category: Mathematics

Page: 4500

View: 5759

The International Congress of Mathematicians (ICM) is held every four years. It is a major scientific event, bringing together mathematicians from all over the world and demonstrating the vital role that mathematics play in our society. In particular, the Fields Medals are awarded to recognize outstanding mathematical achievement. At the same time, the International Mathematical Union awards the Nevanlinna Prize for work in the field of theoretical computer science. The proceedings of ICM 2006, published as a three-volume set, present an overview of current research in all areas of mathematics and provide a permanent record the congress. The first volume features the works of Fields Medallists and the Nevanlinna Prize winner, the plenary lectures, and the speeches and pictures of the opening and closing ceremonies and award sessions. The other two volumes present the invited lectures, arranged according to their mathematical subject. Information for our distributors: Distributed within the Americas by the American Mathematical Society. All commerical channel discounts apply.

Model theory of stochastic processes

Author: Sergio Fajardo,H. Jerome Keisler

Publisher: A K Peters Ltd

ISBN: 9781568811673

Category: Mathematics

Page: 136

View: 6686

This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis. The construction of spaces with certain richness properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2591

The Varieties of Religious Experience

A Study in Human Nature

Author: William James

Publisher: Modern Library

ISBN: N.A

Category: Philosophy

Page: 526

View: 9821

William James' series of lectures on religion as it is is apprehended by, and affect, the individual.

Many-sorted logic and its applications

Author: Karl Meinke,John V. Tucker

Publisher: John Wiley & Sons

ISBN: 9780471934851

Category: Computers

Page: 397

View: 9665

Prominent experts present papers which discuss problems regarding this subject. Coverage includes case studies in the translation of logics for second-order and propositional dynamic logic; many-sorted algebras and equational logic; logical foundations of artificial intelligence along with a variety of methods that exist to encode information; program verification techniques such as Floyd-Hoare, intermittent assertion and temporal logic of programs.

Recursion Theory for Metamathematics

Author: Raymond M. Smullyan

Publisher: Oxford University Press

ISBN: 9780195344813

Category: Mathematics

Page: 184

View: 4910

This work is a sequel to the author's G?del's Incompleteness Theorems, though it can be read independently by anyone familiar with G?del's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.

The Situation in Logic

Author: Jon Barwise

Publisher: Center for the Study of Language (CSLI)

ISBN: 9780937073322

Category: Mathematics

Page: 327

View: 7900

Situation Theory and situation semantics are recent approaches to language and information, approaches first formulated by Jon Barwise and John Perry in Situations and Attitudes (1983). The present volume collects some of Barwise's papers written since then, those directly concerned with relations among logic, situation theory, and situation semantics. Several papers appear here for the first time.

A Course in Model Theory

Author: Katrin Tent,Martin Ziegler

Publisher: Cambridge University Press

ISBN: 052176324X

Category: Mathematics

Page: 248

View: 9572

This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.

Seeking Nature's Logic

Natural Philosophy in the Scottish Enlightenment

Author: David B. Wilson

Publisher: Penn State Press

ISBN: 9780271035253

Category: Science

Page: 344

View: 9460

"Studies the path of natural philosophy (i.e., physics) from Isaac Newton through Scotland into the nineteenth-century background to the modern revolution in physics. Examines how the history of science has been influenced by John Robison and other notable intellectuals of the Scottish Enlightenment"--Provided by publisher.

Wittgenstein: Lectures, Cambridge 1930–1933

From the Notes of G. E. Moore

Author: David G. Stern,Brian Rogers,Gabriel Citron

Publisher: Cambridge University Press

ISBN: 1316432130

Category: Philosophy

Page: N.A

View: 7828

This edition of G. E. Moore's notes taken at Wittgenstein's seminal Cambridge lectures in the early 1930s provides, for the first time, an almost verbatim record of those classes. The presentation of the notes is both accessible and faithful to their original manuscripts, and a comprehensive introduction and synoptic table of contents provide the reader with essential contextual information and summaries of the topics in each lecture. The lectures form an excellent introduction to Wittgenstein's middle-period thought, covering a broad range of philosophical topics, ranging from core questions in the philosophy of language, mind, logic, and mathematics, to illuminating discussions of subjects on which Wittgenstein says very little elsewhere, including ethics, religion, aesthetics, psychoanalysis, and anthropology. The volume also includes a 1932 essay by Moore critiquing Wittgenstein's conception of grammar, together with Wittgenstein's response. A companion website offers access to images of the entire set of source manuscripts.