The essays in this volume explore the nature of time, our God-given medium of ascent, known, as Augustine puts it, through the ordered study of the “liberal disciplines that carry the mind to the divine (disciplinae liberales intellectum efferunt ad divina)”: grammar and dialectic, for example, to promote thinking; geometry and astronomy to grasp the dimensions of our reality; music, an invisible substance like time itself, as an exemplary bridge to the unseen substance of thoughts, ideas, and the nature of God (theology). This ascending course of study rests on procedure, progress, and attainment — on before, following, and afterwards — whose goal is an ascending erudition that lets us finally contemplate, as Augustine says in De ordine, our invisible medium — time — within time itself: time is immaterial, but experienced as substantial. The essays here look at projects that chronicle time “from the beginning,” that clarify ideas of creation “in time” and “simultaneous times,” and the interrelationships between measured time and eternity, including “no-time.” Essays also examine time as revealed in social and political contexts, as told by clocks, as notated in music and embodied in memorializing stone. In the final essays of this volume, time is understood as the subject and medium of consciousness. As Adrian Bardon says, “time is not so much a ‘what’ as a ‘how’”: a solution to “organizing experience and modeling events.” Contributors are (in order within the volume) Jesse W. Torgerson, Ken A. Grant, Danielle B. Joyner, Nancy van Deusen, Peter Casarella, Aaron Canty, Jordan Kirk, Vera von der Osten-Sacken, Gerhard Jaritz, Jason Aleksander, Sara E. Melzer, Mark Howard, Andrew Eschelbacher, Hans J. Rindisbacher, James F. Knapp, Peggy A. Knapp, Raymond Knapp, Michael Cole, Ike Kamphof and Leonard Michael Koff.

Research on medieval and early modern travel literature has made great progress, which now allows us to take the next step and to analyze the correlations between the individual and space throughout time, which contributed essentially to identity formation in many different settings. The contributors to this volume engage with a variety of pre-modern texts, images, and other documents related to travel and the individual's self-orientation in foreign lands and make an effort to determine the concept of identity within a spatial framework often determined by the meeting of various cultures. Moreover, objects, images and words can also travel and connect people from different worlds through books. The volume thus brings together new scholarship focused on the interrelationship of travel, space, time, and individuality, which also includes, of course, women's movement through the larger world, whether in concrete terms or through proxy travel via readings. Travel here is also examined with respect to craftsmen's activities at various sites, artists' employment for many different projects all over Europe and elsewhere, and in terms of metaphysical experiences (catabasis).

Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.

The sixteen papers collected in this volume are expanded and revised versions of talks delivered at the Second International Conference on the Ontology of Spacetime, organized by the International Society for the Advanced Study of Spacetime (John Earman, President) at Concordia University (Montreal) from 9 to 11 June 2006. Most chapters are devoted to subjects directly relating to the ontology of spacetime. The book starts with four papers that discuss the ontological status of spacetime and the processes occurring in it from a point of view that is first of all conceptual and philosophical. The focus then slightly shifts in the five papers that follow, to considerations more directly involving technical considerations from relativity theory. After this, Time, Becoming and Change take centre stage in the next five papers. The book ends with two excursions into relatively uncharted territory: a consideration of the status of Kaluza-Klein theory, and an investigation of possible relations between the nature of spacetime and condensed matter physics, respectively. - Space and time in present-day physics and philosophy - Relatively low level of technicality, easily accessible - Introduction from scratch of the debates surrounding time - Broad spectrum of approaches, coherently represented

In contrast to other publications this work discusses Nanoscience strictly at the ultimate level where the properties of atomic matter emerge. The renowned author presents an interdisciplinary approach leading to the forefront of research of quantum-theoretical aspects of time, selforganizing nanoprocesses, brain functions, the matter-mind problem, behaviour research and philosophical questions.

Medieval images and their content, intentions, and functions regularly followed specific strategies, rituals, and symbols of communication. This is true for religious as well as for secular images. One can recognize these strategies and rituals through analyzing the patterns that occur in the varieties of image construction, image space, image messages, and their perception. This book contains contributions by international specialists whose research interests concentrate on these patterns, the rituals associated with them, and the influences of these phenomena on the daily life of the image audience. (Series: History: Research and Science / Geschichte: Forschung und Wissenschaft - Vol. 39)

This book constitutes the refereed proceedings of the 15th Algorithms and Data Structures Symposium, WADS 2017, held in St. John's, NL, Canada, in July/August 2017. The 49 full papers presented together with 3 abstracts of invited talks were carefully reviewed and selected from 109 submissions. They present original research on the theory and application of algorithms and data structures in many areas, including combinatorics, computational geometry, databases, graphics, and parallel and distributed computing. The WADS Symposium, which alternates with the Scandinavian Symposium and Workshops on Algorithm Theory, SWAT, is intended as a forum for researchers in the area of design and analysis of algorithms and data structures. Papers presenting original research on the theory and application of algorithms and data structures