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Mathematical Cultures
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
The Determinacy of Long Games
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.
Set Theory
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees. Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics.
Ordinal Definability and Recursion Theory
The third in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
Hod Mice and the Mouse Set Conjecture
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".
The Core Model Iterability Problem
Suitable for graduate students and researchers in set theory, this volume develops a method for constructing core models that have Woodin cardinals.
Masterpieces
A collection of the best science fiction short stories of the 20th century as selected and evaluated by critically-acclaimed author Orson Scott Card. Featuring stories from the genre's greatest authors: Isaac Asimov • Arthur C. Clarke • Robert A. Heinlein • Ursula K. Le Guin • Ray Bradbury • Frederik Pohl • Harlan Ellison • George Alec Effinger • Brian W. Aldiss • William Gibson & Michael Swanwick • Theodore Sturgeon • Larry Niven • Robert Silverberg • Harry Turtledove • James Blish • George R. R. Martin • James Patrick Kelly • Karen Joy Fowler • Lloyd Biggle, Jr. • Terry Bisson • Poul Anderson • John Kessel • R.A. Lafferty • C.J. Cherryh • Lis...
Reclaiming the University for the Public Good
This book asks how we can reclaim the university for the public good. The editors and contributors argue that the sector is in crisis, accelerated by the passing of the UK Higher Education Research Act in 2017 and made visible during the University and College Union strikes in April 2018. In response to this, there are widespread demands to reclaim the university and protect education as a public good, using co-operative structures. Taking an interdisciplinary and social justice perspective, the editors and contributors offer concrete examples of alternative higher education: in doing so, analysing how the future of the university can be recovered. This intersectional volume discusses a broad range of approaches to higher education while disseminating new ideas. It will be of interest and value to those disenchanted with the current state of higher education in the UK and beyond, as well as activists and policy makers.
