Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophical problems of induction, consciousness, intelligence and free will. The same concept is later applied to provide support for a new philosophical theory of probability.Although based on existing ideas and theories, the epistemological concept of resonance is investigated for the first time in this book. The best-known philosophical theories of probability, frequency and subjective, are shown to be unrealistic and dissociated from the two main branches of statistics: frequency statistics and Bayesian statistics.Written in an accessible style, this book can be enjoyed by philosophers, statisticians and mathematicians, and also by anyone looking to expand their understanding of the disciplines of epistemology and probability.

This collection of essays honours Kevin J. Vanhoozer by representing the current state of evangelical hermeneutics in light of his work. The volume consists of three parts: The Biblical Script, Great Performances, and Theodrama Today. Each part contains wide-ranging contributions from well-known scholars, who address important topics for contemporary hermeneutics in dialogue with Vanhoozer's influential work. Kevin J. Vanhoozer is today's leading evangelical theologian of biblical interpretation. He is one of the most influential voices in contemporary hermeneutics, and in academic theology he is one of his generation's most influential evangelicals.

Late-modern culture has been marred by reductionism, which shrinks and flattens our vision of ourselves and the world. Renowned theologian Jeremy Begbie believes that the arts by their nature push against reductionism, helping us understand and experience more deeply the infinite richness of God's love and of the world God has made. In Abundantly More, Begbie analyzes and critiques reductionism and its effects. He shows how the arts can resist reductive impulses by opening us up to an unlimited abundance of meaning. And he demonstrates how engaging the arts in light of a trinitarian imagination (which itself cuts against reductionism) generates a unique way of witnessing to and sharing in the life and purposes of God. Theologians, artists, and any who are interested in how these fields intersect will find rich resources here and discover the crucial role the arts can play in keeping our culture open to the possibility of God.

The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

An examination of the bodily, situated aspects of data-visualization work, looking at visualization practices around the development of MRI technology. Our bodies are scanned, probed, imaged, sampled, and transformed into data by clinicians and technologists. In this book, Silvia Casini reveals the affective relations and materiality that turn data into image--and in so doing, gives bodies back to data. Opening the black box of MRI technology, Casini examines the bodily, situated aspects of visualization practices around the development of this technology. Reframing existing narratives of biomedical innovation, she emphasizes the important but often overlooked roles played by aesthetics, affectivity, and craft practice in medical visualization. Combining history, theory, laboratory ethnography, archival research, and collaborative art-science, Casini retrieves the multiple presences and agencies of bodies in data visualization, mapping the traces of scientists' body work and embodied imagination. She presents an in-depth ethnographic study of MRI development at the University of Aberdeen's biomedical physics laboratory, from the construction of the first whole-body scanner for clinical purposes through the evolution of the FFC-MRI. Going beyond her original focus on MRI, she analyzes a selection of neuroscience- or biomedicine-inspired interventions by artists in media ranging from sculpture to virtual reality. Finally, she presents a methodology for designing and carrying out small-scale art-science projects, describing a collaboration that she herself arranged, highlighting the relational and aesthetic-laden character of data that are the product of craftsmanship and affective labor at the laboratory bench.

The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.

There is currently no viable alternative to the Bayesian analysis of scientific inference, yet the available versions of Bayesianism fail to do justice to several aspects of the testing and confirmation of scientific hypotheses. Bayes or Bust? provides the first balanced treatment of the complex set of issues involved in this nagging conundrum in the philosophy of science. Both Bayesians and anti-Bayesians will find a wealth of new insights on topics ranging from Bayes's original paper to contemporary formal learning theory. In a paper published posthumously in 1763, the Reverend Thomas Bayes made a seminal contribution to the understanding of "analogical or inductive reasoning." Building on his insights, modem Bayesians have developed an account of scientific inference that has attracted numerous champions as well as numerous detractors. Earman argues that Bayesianism provides the best hope for a comprehensive and unified account of scientific inference, yet the presently available versions of Bayesianisin fail to do justice to several aspects of the testing and confirming of scientific theories and hypotheses. By focusing on the need for a resolution to this impasse, Earman sharpens the issues on which a resolution turns. John Earman is Professor of History and Philosophy of Science at the University of Pittsburgh.