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David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources,...
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Improve Every Retrospective! Real Solutions for Every Team Leader, Facilitator, and Participant “. . . Aino has shared a robust, curated list of antipatterns and how to avoid them. . . . And she has shared so much more than tips and techniques. You will find a gold mine--with precious nuggets, including her personal experiences, effective facilitation resources, and pointers for extracting yourself and your team when you're stuck.” --From the Foreword by Diana Larsen, co-author, Agile Retrospectives: Making Good Teams Great Retrospectives are indispensable for continuous learning and improvement in Lean, Agile, DevOps, and other contexts, but most of us have suffered through at least one...
IT STARTED WITH A KISS... AND ENDED WITH MURDER. The darkly addictive new novel from the Sunday Times bestselling author of I Looked Away, Blood Sisters and My Husband's Wife. -------------------------------------------------------- In Poppy Page's mind, there are two types of women in this world: those who are faithful to their husbands, and those who are not. Until now, Poppy has never questioned which she was. But when handsome, charming Matthew Gordon walks back into her life after almost two decades, that changes. Poppy makes a single mistake - and that mistake will be far more dangerous than she could imagine. Someone is going to pay for it with their life . . . -----------------------...
This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo-Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics.
Part of the Handbook of the Philosophy of Science Series edited by: Dov M. Gabbay King's College, London, UK;Paul Thagard University of Waterloo, Canada; and John Woods University of British Columbia, Canada. Philosophy of Economics investigates the foundational concepts and methods of economics, the social science that analyzes the production, distribution and consumption of goods and services. This groundbreaking collection, the most thorough treatment of the philosophy of economics ever published, brings together philosophers, scientists and historians to map out the central topics in the field. The articles are divided into two groups. Chapters in the first group deal with various philos...
This is the story behind the idea of number, from the Pythagoreans, up until the turn of the 20th century, through Greek, Islamic & European mathematics.