The Diagram as Paradigm explores medieval diagrams in Byzantium, the Islamicate world, and the Latin West. Case studies consider the theoretical dimensions of diagramming in historical disciplines ranging from philosophy to cosmology. Four introductory essays provide overviews of diagrammatic traditions of the regions explored in this volume.
This sparkling debut novel, about a 17-year-old math genius can see others' emotions by just touching an object that belongs to that person, offers an irresistible combination of math and romance, with just a hint of the paranormal.
An examination of Deleuze's notion of the diagram from philosophical and aesthetic perspectives that develops the concept into a critical touchstone for contemporary multidisciplinary art.
The Culture of Diagram is about visual thinking. Exploring a terrain where words meet pictures and formulas meet figures, the book foregrounds diagrams as tools for blurring those boundaries to focus on the production of knowledge as process. It outlines a history of convergence among diverse streams of data in real-time: from eighteenth-century print media and the diagrammatic procedures in the pages of Diderot's Encyclopedia to the paintings of Jacques-Louis David and mathematical devices that reveal the unseen worlds of quantum physics. Central to the story is the process of correlation, which invites observers to participate by eliciting leaps of imagination to fill gaps in data, equations, or sensations. This book traces practices that ran against the grain of both Locke's clear and distinct ideas and Newton's causality—practices greatly expanded by the calculus, probabilities, and protocols of data sampling. Today's digital technologies are rooted in the ability of high-speed computers to correct errors when returning binary data to the human sensorium. High-tech diagrams echo the visual structures of the Encyclopedia, arraying packets of dissimilar data across digital spaces instead of white paper. The culture of diagram broke with the certainties of eighteenth-century science to expand the range of human experience. Speaking across disciplines and discourses, Bender and Marrinan situate our modernity in a new and revealing light.
Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.
What is the work that miracles do in American Charismatic Evangelicalism? How can miracles be unanticipated and yet worked for? And finally, what do miracles tell us about other kinds of Christianity and even the category of religion? A Diagram for Fire engages with these questions in a detailed sociocultural ethnographic study of the Vineyard, an American Evangelical movement that originated in Southern California. The Vineyard is known worldwide for its intense musical forms of worship and for advocating the belief that all Christians can perform biblical-style miracles. Examining the miracle as both a strength and a challenge to institutional cohesion and human planning, this book situates the miracle as a fundamentally social means of producing change—surprise and the unexpected used to reimagine and reconfigure the will. Jon Bialecki shows how this configuration of the miraculous shapes typical Pentecostal and Charismatic religious practices as well as music, reading, economic choices, and conservative and progressive political imaginaries.
Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
This volume contains the accounts of the principal survey papers presented at GRAPHS and ORDER, held at Banff, Canada from May 18 to May 31, 1984. This conference was supported by grants from the N.A.T.O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the University of Calgary. We are grateful for all of this considerable support. Almost fifty years ago the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. On that occasion the principal lectures were delivered by G. Birkhoff, O. Ore and M.H. Stone. In those days the theory of ordered sets was thought to be a vigorous relative of group theory. Some twenty-five years ago the Symposium on Partially Ordered Sets and Lattice Theory was held in Monterey, U.S.A. Among the principal speakers at that meeting were R.P. Dilworth, B. Jonsson, A. Tarski and G. Birkhoff. Lattice theory had turned inward: it was concerned primarily with problems about lattices themselves. As a matter of fact the problems that were then posed have, by now, in many instances, been completely solved.
