In Measuring and Reasoning, Fred L. Bookstein examines the way ordinary arithmetic and numerical patterns are translated into scientific understanding, showing how the process relies on two carefully managed forms of argument: • Abduction: the generation of new hypotheses to accord with findings that were surprising on previous hypotheses, and • Consilience: the confirmation of numerical pattern claims by analogous findings at other levels of measurement. These profound principles include an understanding of the role of arithmetic and, more importantly, of how numerical patterns found in one study can relate to numbers found in others. More than 200 figures and diagrams illuminate the text. The book can be read with profit by any student of the empirical nature or social sciences and by anyone concerned with how scientists persuade those of us who are not scientists why we should credit the most important claims about scientific facts or theories.

This collection offers a new understanding of the epistemology of measurement. The interdisciplinary volume explores how measurements are produced, for example, in astronomy and seismology, in studies of human sexuality and ecology, in brain imaging and intelligence testing. It considers photography as a measurement technology and Henry David Thoreau's poetic measures as closing the gap between mind and world. By focusing on measurements as the hard-won results of conceptual as well as technical operations, the authors of the book no longer presuppose that measurement is always and exclusively a means of representing some feature of a target object or entity. Measurement also provides knowledge about the degree to which things have been standardized or harmonized – it is an indicator of how closely human practices are attuned to each other and the world.

This book provides information about how the numeric ability of individuals can impact the decisions they make about healthcare.

This edited volume examines the very essence of the function of judges, building upon developments in the quality of justice research throughout Europe. Distinguished authors address a gap in the literature by considering the standards that individual judgments should meet, presenting both academic and practical perspectives. Readers are invited to consider such questions as: What is expected from judicial reasoning? Is there a general concept of good quality with regard to judicial reasoning? Are there any attempts being made to measure the quality of judicial reasoning? The focus here is on judges meeting the highest standards possible in adjudication and how they may be held to account for the way they reason. The contributions examine theoretical questions surrounding the measurement of the quality of judicial reasoning, practices and legal systems across Europe, and judicial reasoning in various international courts. Six legal systems in Europe are featured: England and Wales, Finland, Italy, the Czech Republic, France and Hungary as well as three non-domestic levels of court jurisdictions, including the Court of Justice of the European Union (CJEU). The depth and breadth of subject matter presented in this volume ensure its relevance for many years to come. All those with an interest in benchmarking the quality of judicial reasoning, including judges themselves, academics, students and legal practitioners, can find something of value in this book.

This collection offers a new understanding of the epistemology of measurement. The interdisciplinary volume explores how measurements are produced, for example, in astronomy and seismology, in studies of human sexuality and ecology, in brain imaging and intelligence testing. It considers photography as a measurement technology and Henry David Thoreau's poetic measures as closing the gap between mind and world. By focusing on measurements as the hard-won results of conceptual as well as technical operations, the authors of the book no longer presuppose that measurement is always and exclusively a means of representing some feature of a target object or entity. Measurement also provides knowledge about the degree to which things have been standardized or harmonized – it is an indicator of how closely human practices are attuned to each other and the world.

For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.