A Comparison Process for Mouse Pairs

A Comparison Process for Mouse Pairs
Author :
Publisher : Cambridge University Press
Total Pages : 550
Release :
ISBN-10 : 9781108896825
ISBN-13 : 1108896820
Rating : 4/5 (25 Downloads)

Synopsis A Comparison Process for Mouse Pairs by : John R. Steel

This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library.

A Comparison Process for Mouse Pairs

A Comparison Process for Mouse Pairs
Author :
Publisher : Cambridge University Press
Total Pages : 549
Release :
ISBN-10 : 9781108840682
ISBN-13 : 110884068X
Rating : 4/5 (82 Downloads)

Synopsis A Comparison Process for Mouse Pairs by : John R. Steel

This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library.

The Philosophy of Penelope Maddy

The Philosophy of Penelope Maddy
Author :
Publisher : Springer Nature
Total Pages : 526
Release :
ISBN-10 : 9783031584251
ISBN-13 : 3031584252
Rating : 4/5 (51 Downloads)

Synopsis The Philosophy of Penelope Maddy by : Sophia Arbeiter

Extensions of the Axiom of Determinacy

Extensions of the Axiom of Determinacy
Author :
Publisher : American Mathematical Society
Total Pages : 182
Release :
ISBN-10 : 9781470472108
ISBN-13 : 1470472104
Rating : 4/5 (08 Downloads)

Synopsis Extensions of the Axiom of Determinacy by : Paul B. Larson

This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including the Moschovakis Coding Lemma, the existence of strong partition cardinals, and the analysis of pointclasses in models of determinacy. The second half of the book introduces Woodin's axiom system $mathrm{AD}^{+}$ and presents his initial analysis of these axioms. These results include the consistency of $mathrm{AD}^{+}$ from the consistency of AD, and its local character and initial motivation. Proofs are given of fundamental results by Woodin, Martin, and Becker on the relationships among AD, $mathrm{AD}^{+}$, the Axiom of Real Determinacy, and the Suslin property. Many of these results are proved in print here for the first time. The book briefly discusses later work and fundamental questions which remain open. The study of models of $mathrm{AD}^{+}$ is an active area of contemporary research in set theory. The presentation is aimed at readers with a background in basic set theory, including forcing and ultrapowers. Some familiarity with classical results on regularity properties for sets of reals under AD is also expected.

Hod Mice and the Mouse Set Conjecture

Hod Mice and the Mouse Set Conjecture
Author :
Publisher : American Mathematical Soc.
Total Pages : 186
Release :
ISBN-10 : 9781470416928
ISBN-13 : 1470416921
Rating : 4/5 (28 Downloads)

Synopsis Hod Mice and the Mouse Set Conjecture by : Grigor Sargsyan

The author develops the theory of Hod mice below ADR+ "Θ is regular". He uses this theory to show that HOD of the minimal model of ADR+ "Θ is regular" satisfies GCH. Moreover, he shows that the Mouse Set Conjecture is true in the minimal model of ADR+ "Θ is regular".

Cognition and Categorization

Cognition and Categorization
Author :
Publisher : Taylor & Francis
Total Pages : 342
Release :
ISBN-10 : 9781003827528
ISBN-13 : 1003827527
Rating : 4/5 (28 Downloads)

Synopsis Cognition and Categorization by : Eleanor Rosch

Originally published in 1978, the papers in this book derive from a 1976 meeting sponsored by the Social Science Research Council to discuss the nature and principles of category formation. It is organized in three sections: real-world categories, the cognitive processes underlying categorization, and the nature of representation. Part I examines different structural aspects of real-world categories: folk biological taxonomies, within and between category structures for material objects, and some categories in a language that codes the world in a visual–gestural mode. All three chapters in Part I assume category processors who are able to perform at least three cognitive functions: They can judge similarity between stimuli; they can perceive and process the attributes of a stimulus; and they can learn. Part II presents analyses of these three cognitive functions. All discussion of psychological structures and processes lead eventually to the issue of representation, and Part III examines representational assumptions underlying the earlier discussions. Today it can be read and enjoyed in its historical context.

Software Engineering Techniques

Software Engineering Techniques
Author :
Publisher : Springer Science & Business Media
Total Pages : 300
Release :
ISBN-10 : 9783642223853
ISBN-13 : 3642223850
Rating : 4/5 (53 Downloads)

Synopsis Software Engineering Techniques by : Zbigniev Huzar

This book constitutes the thoroughly refereed post-conference proceedings of the Second IFIP TC 2 Central and East-European Conference on Software Engineering Techniques, CEE-SET 2008, held in Brno, Czech Republic, in October 2008. The 20 revised full papers presented together with a keynote speech were carefully reviewed and selected from 69 initial submissions. The papers are organized in topical sections on requirements specification, design, modeling, software product lines, code generation, project management, and quality.

Author :
Publisher : Garland Science
Total Pages : 1732
Release :
ISBN-10 : 9789780815349
ISBN-13 : 9780815341
Rating : 4/5 (49 Downloads)

Synopsis by : Taylor & Francis Group

Computational Systems Bioinformatics (Volume 6) - Proceedings Of The Conference Csb 2007

Computational Systems Bioinformatics (Volume 6) - Proceedings Of The Conference Csb 2007
Author :
Publisher : World Scientific
Total Pages : 472
Release :
ISBN-10 : 9781908979094
ISBN-13 : 1908979097
Rating : 4/5 (94 Downloads)

Synopsis Computational Systems Bioinformatics (Volume 6) - Proceedings Of The Conference Csb 2007 by : Peter Markstein

This volume contains about 40 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications. Abstracts from the keynote addresses and invited talks are also included.The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field./a