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The Scottish Book
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as functional and real analysis, group theory, measure and set theory, probability, and topology. Finding solutions to the problems they proposed has been ongoing since World War II, with prizes offered in many cases to those who are successful. In the 35 years since the first edition published, se...
Semantics and Truth
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
Effective Altruism
As the world faces increasingly complex problems – from pandemics to global poverty and climate change – how do we decide where to concentrate our efforts and resources to do the most good possible? Effective altruism offers a way to do just that, focusing on evidence and rational arguments to identify crucial issues and the most impactful ways of solving them. In this new book, philosopher Jacob Bauer cuts through the uncritical hype and wholesale dismissal around effective altruism to offer a balanced overview of this movement’s core concepts and approaches to “doing good better.” With examples spanning malaria-preventing bed nets to the dangers of AI, he illuminates how effective altruism is addressing some of the world’s most pressing problems, all the while acknowledging its real limitations and showcasing its immense promise. Whether you are a skeptic or a new adherent seeking to understand the philosophy and community of effective altruism, this book is the definitive guide.
Mathematician for All Seasons
This book presents, in his own words, the life of Hugo Steinhaus (1887–1972), noted Polish mathematician of Jewish background, educator, and mathematical popularizer. A student of Hilbert, a pioneer of the foundations of probability and game theory, and a contributor to the development of functional analysis, he was one of those instrumental to the extraordinary flowering of Polish mathematics before and after World War I. In particular, it was he who “discovered” the great Stefan Banach. Exhibiting his great integrity and wit, Steinhaus’s personal story of the turbulent times he survived – including two world wars and life postwar under the Soviet heel – cannot but be of consumi...
New Foundations in Mathematics
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract...
The History of the Galician Division of the Waffen SS
The first volume of a two part set on the history of the Galician Division is based on over 25 years research by accomplished historian Michael James Melnyk who has sourced additional new and hitherto unseen original material on all aspects of the Division's history from archives and private collections in Europe, Australia, North American and Canada. Complemented by the individual accounts and contributions of many veterans which add an engaging personal dimension, this new definitive two volume account supersedes his earlier divisional history published in 2002. As a recognised authority on the subject he has produced the most reliable and exhaustive account to date lavishly illustrated with many rare and unique photos and crammed full of details, notes and references in this last ever book to include direct and new material from the participants.
The War of Guns and Mathematics
For a long time, World War I has been shortchanged by the historiography of science. Until recently, World War II was usually considered as the defining event for the formation of the modern relationship between science and society. In this context, the effects of the First World War, by contrast, were often limited to the massive deaths of promising young scientists. By focusing on a few key places (Paris, Cambridge, Rome, Chicago, and others), the present book gathers studies representing a broad spectrum of positions adopted by mathematicians about the conflict, from militant pacifism to military, scientific, or ideological mobilization. The use of mathematics for war is thoroughly examin...
Questioning Beneficence
Effective Altruism is a movement and a philosophy that has reinvigorated the debate about the nature of beneficence. At base, it is the consistent application of microeconomic principles to beneficent action. The movement has exposed that many forms of giving do little good (or do active harm), but others do tremendous good. Questioning Beneficence uses Effective Altruism as a launch pad to ask hard questions about beneficence more generally. Must we be Effective Altruists, or are Effective Altruism and the ideas driving the movement a mistake? How much should we give—if anything— and how should we give it? What are the respective roles of different kinds of institutions? Is charity anti...
Courage and Fear
Courage and Fear is a study of a multicultural city in times when all norms collapse. Ola Hnatiuk presents a meticulously documented portrait of Lviv’s ethnically diverse intelligentsia during World War Two. As the Soviet, Nazi, and once again Soviet occupations tear the city’s social fabric apart, groups of Polish, Ukrainian, and Jewish doctors, academics, and artists try to survive, struggling to manage complex relationships and to uphold their ethos. As their pre-war lives are violently upended, courage and fear shape their actions. Ola Hnatiuk employs diverse sources in several languages to tell the story of Lviv from a multi-ethnic perspective and to challenge the national narratives dominant in Central and Eastern Europe.
