The Gregorian calendar reform of 1582, which provided the basis for the civil and Western ecclesiastical calendars still in use today, has often been seen as a triumph of early modern scientific culture or an expression of papal ambition in the wake of the Counter-Reformation. Much less attention has been paid to reform's intellectual roots in the European Middle Ages, when the reckoning of time by means of calendrical cycles was a topic of central importance to learned culture, as impressively documented by the survival of relevant texts and tables in thousands of manuscripts copied before 1500. For centuries prior to the Gregorian reform, astronomers, mathematicians, theologians, and even Church councils had been debating the necessity of improving or emending the existing ecclesiastical calendar, which throughout the Middle Ages kept losing touch with the astronomical phenomena at an alarming pace. Scandalous Error is the first comprehensive study of the medieval literature devoted to the calendar problem and its cultural and scientific contexts. It examines how the importance of ordering liturgical time by means of a calendar that comprised both solar and lunar components posed a technical-astronomical problem to medieval society and details the often sophisticated ways in which computists and churchmen reacted to this challenge. By drawing attention to the numerous connecting paths that existed between calendars and mathematical astronomy between the Fall of Rome and the end of the fifteenth century, the volume offers substantial new insights on the place of exact science in medieval culture.

The Letter and Prologue on Easter of Theophilus of Alexandria (385-412), the 95-year list of Paschal data compiled by Cyril (412-444), and the Prologue or Praefatio to that list written in Latin about 482 in the persona of Cyril are among the foundational documents for our knowledge of the Alexandrian Easter cycle. That cycle, through the Latin versions of Dionysius Exiguus, Bede, and others was the standard method for determining the date of Easter in the western churches until the end of the sixteenth century. There has been no modern critical edition of either Prologue since those of Bruno Krusch in 1880. This new edition of the texts is based on Alden A. Mosshammer's discovery or rediscovery of manuscript witnesses unknown to Krusch and overlooked by more recent scholars who have engaged these texts. The historical introduction summarizes current knowledge about the history of Easter calculations in early Christian communities, including a new hypothesis attributing the Alexandrian cycle in its final form to the mathematician and astronomer Theon of Alexandria working in the 370's. Although both texts have already been translated into English, Mosshammer's new translations are based on his new reconstruction of the texts. The commentaries address many issues currently under debate in historical scholarship, such as the origin of 21 March as the conventional date of the vernal equinox. The newly reconstructed text of the Prologue attributed to Cyril and Mosshammer's extensive commentary make that difficult text intelligible for the first time.

Our engagement with time is a ubiquitous feature of our lives. We are aware of time on many scales, from the briefest flicker of change to the way our lives unfold over many years. But to what extent does this encounter reveal the true nature of temporal reality? To the extent that temporal reality is as it seems, how do we come to be aware of it? And to the extent that temporal reality is not as it seems, why does it seem that way? These are the central questions addressed by Simon Prosser in Experiencing Time. These questions take on a particular importance in philosophy for two reasons. Firstly, there is a view concerning the metaphysics of time, known as the B-theory of time, according to which the apparently dynamic quality of change, the special status of the present, and even the passage of time are all illusions. Instead, the world is a four-dimensional space-time block, lacking any of the apparent dynamic features of time. If the B-theory is correct, as the book argues, then it must be explained why our experiences seem to tell us otherwise. Secondly, experiences of temporal features such as changes, rates and durations are of independent interest because of certain puzzles that they raise, the solutions to which may shed light on broader issues in the philosophy of mind.

A readable and entertaining look at how Einstein's special theory of relativity gives us a new understanding of the nature of time Relativity ought to be an important part of everyone's education. Its subject is time, with which we all think we are familiar. Einstein's special theory of relativity reveals that some of our most intuitive notions about time are shockingly wrong. This clear, lively, and informal exposition of special relativity takes a highly original approach to introduce readers to the true nature of time. It is accessible to anyone who remembers a little high school algebra and elementary geometry. It's About Time offers deep insights to curious readers who have no technical scientific background.

Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the "principle theory" approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behavior of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more "constructive" approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity.
Physical Relativity is an original, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown's new interpretation of relativity theory will interest anyone working on these central topics in modern physics.

This fascinating work begins with a scientific appraisal of time and its relationship with 3D space. It explains in clear, understandable language, the complex theories of such famous men as Newton, Einstein, and Stephen Hawking. Is time infinite, or does it have a beginning and an end? Do Black Holes and White Vortices distort time, or penetrate it? The authors also analyse and evaluate puzzling, well documented reports of time travel and reincarnation, and strange cases of deja vu. Can time travel account for such anachronistic discoveries as a 20th century sparkplug found encased among fossils half a million years old? Finally, the authors bring all the unsolved time-related mysteries together in a unified field theory that suggests an awesome answer to the mysteries of time-travel and reincarnation.

Modern physics has revealed a universe that is a much stranger place than we could have imagined, filled with black holes and dark matter and parallel lines meeting in space. And the puzzle at the center of our present understanding of the universe is time.
Now, in The Labyrinth of Time, Michael Lockwood takes the reader on a fascinating journey into the nature of things. A brilliant writer, Lockwood illuminates the philosophical questions about past, present, and future, our experience of time, and the possibility of time travel, in a book that is both challenging and great fun. Indeed, he provides the most careful, lively, and up-to-date introduction to the physics of time and the structure of the universe to be found anywhere in print. He guides us step by step through relativity theory and quantum physics, introducing and explaining the ground-breaking ideas of Newton and Boltzmann, Einstein and Schroedinger, Penrose and Hawking. We zoom in on the behavior of molecules and atoms, and pull back to survey the expansion of the universe. We learn about entropy and gravity, black holes and wormholes, about how it all began and where we are all headed.
Lockwood's aim is not just to boggle the mind but to lead us towards an understanding of the science and philosophy. Things will never seem the same again after a voyage through The Labyrinth of Time.
A model of balance and clarity.
--Paul Davies, Times Higher Education Supplement

Brings together the output of a forty-year collaborative research project that unpicked and put into practice the fine details of John Harrison's extraordinary pendulum clock system. Harrison predicted that his unique method of making pendulum clocks could provide as much as one-hundred-times the stability of those made by his contemporaries. However, his final publication, which promised to describe the system, was a chaotic jumble of information, much of which had nothing to do with clockwork. One contemporary reviewer of Harrison's book could only suggest that the end result was a product of Harrison's 'superannuated dotage.' The focus of this book centres on the making, adjusting, and testing of Clock B which was the subject of various trials at the Royal Observatory, Greenwich. The modern history of Clock B is accompanied by scientific analysis of the clock system, Clock B's performance, the methods of data-gathering alongside historical perspectives on Harrison's clockmaking, that of his contemporaries, and some evaluation of the possible influence of early 18th century scientific thought.

Why should there be anything at all? Why, in particular, should a material world exist? Bede Rundle advances clear, non-technical answers to these perplexing questions. If, as the theist maintains, God is a being who cannot but exist, his existence explains why there is something rather than nothing. However, this can also be explained on the basis of a weaker claim. Not that there is some particular being that has to be, but simply that there has to be something or other. Rundle proffers arguments for thinking that that is indeed how the question is to be put to rest. Traditionally, the existence of the physical universe is held to depend on God, but the theist faces a major difficulty in making clear how a being outside space and time, as God is customarily conceived to be, could stand in an intelligible relation to the world, whether as its creator or as the author of events within it. Rundle argues that a creator of physical reality is not required, since there is no alternative to its existence. There has to be something, and a physical universe is the only real possibility. He supports this claim by eliminating rival contenders; he dismisses the supernatural, and argues that, while other forms of being, notably the abstract and the mental, are not reducible to the physical, they presuppose its existence. The question whether ultimate explanations can ever be given is forever in the background, and the book concludes with an investigation of this issue and of the possibility that the universe could have existed for an infinite time. Other topics discussed include causality, space, verifiability, essence, existence, necessity, spirit, fine tuning, and laws of Nature. Why There Is Something Rather Than Nothing offers an explanation of fundamental facts of existence in purely philosophical terms, without appeal either to theology or cosmology. It will provoke and intrigue anyone who wonders about these questions.

Modern physics has revealed the universe as a much stranger place than we could have imagined. The puzzle at the centre of our knowledge of the universe is time. Michael Lockwood takes the reader on a fascinating journey into the nature of things. He investigates philosophical questions about past, present, and future, our experience of time, and the possibility of time travel. And he provides the most careful, lively, and up-to-date introduction to the physics of time and the structure of the universe.He guides us step by step through relativity theory and quantum physics, introducing and explaining the ground-breaking ideas of Newton and Boltzmann, Einstein and Schroedinger, Penrose and Hawking. We zoom in on the behaviour of molecules and atoms, and pull back to survey the expansion of the universe. We learn about entropy and gravity, black holes and wormholes, about how it all began and where we are all headed. Lockwood's aim is not just to boggle the mind but to lead us towards an understanding of the science and philosophy. Things will never seem the same again after a voyage through The Labyrinth of Time.

Time forms such an important part of our lives that it is rarely thought about. In this book the author moves beyond the time of clocks and calendars in order to study time as embedded in social interactions, structures, practices and knowledge, in artefacts, in the body, and in the environment. The author looks at the many different ways in which time is experienced, in relation to the various contexts and institutions of social life. Among the topics discussed are time in the areas of health, education, work, globalization and environmental change. Through focusing on the complexities of social time she explores ways of keeping together what social science traditions have taken apart, namely, time with reference to the personal-public, local-global and natural-cultural dimensions of social life.

Barbara Adam's time-based approach engages with, yet differs from postmodernist writings. It suggests ways not merely to deconstruct but to reconstruct both common-sense and social science understanding.

This book will be of interest to undergraduates, graduates and academics in the areas of sociology, social theory environmental/green issues, feminist theory, cultual studies, philosophy, peace studies, education, social policy and anthropology.

IN Time:A Traveller's Guide. CLifford A. Pickover takes readers to the forefront of science as he illuminates the most mysterious phenomenon in the universe - time itself. Is time travel possible? Is time real? Does it flow in one direction only? Does it have a beginning or an end? What is eternity? These are questions that Pickover tackles in this stimulating blend of Chopin, philosophy, Einstein and modern physics, spiced with diverting side-trips to such topics as the history of clocks, the nature of free will and the reason that gold glitters. By the time we finish this book, we understand such seemingly arcane concepts as space time diagrams, light cones, cosmic moment lines, transcendent infinite speeds, Lorentz transformations, superluminal and ultra-luminal motions, closed timelike curves, and Tipler cylinders. And most important, we will understand that time travel need not be confined to myth, science fiction, Hollywood fantasies, or scientific speculation. Time travel, we will realise, is possible.

"Patience, patience, because the great movements of history have always begun in those small parenthesis that we call 'in the meantime.'" --John Berger The last book that John Berger wrote was this precious little volume about time titled What Time Is It?, now posthumously published for the first time in English by Notting Hill Editions. Berger died before it was completed, but the text has been assembled and illustrated by his longtime collaborator and friend Sel uk Demirel, and has an introduction by Maria Nadotti. What Time Is It? is a profound and playful meditation on the illusory nature of time. Berger, the great art critic and Man Booker Prize-winning author, reflects on what time has come to mean to us in modern life. Our perception of time assumes a uniform and ceaseless passing of time, yet time is turbulent. It expands and contracts according to the intensity of the lived moment. We talk of time "saved" in a hundred household appliances; time, like money, is exchanged for the content it lacks. Berger posits the idea that time can lengthen lifetimes once we seize the present moment. "What-is-to-come, what-is-to-be-gained empties what-is."

Winner of the Runciman Award Winner of the Charles J. Goodwin Award "Tells the story of how the Seleucid Empire revolutionized chronology by picking a Year One and counting from there, rather than starting a new count, as other states did, each time a new monarch was crowned...Fascinating." -Harper's In the aftermath of Alexander the Great's conquests, his successors, the Seleucid kings, ruled a vast territory stretching from Central Asia and Anatolia to the Persian Gulf. In 305 BCE, in a radical move to impose unity and regulate behavior, Seleucus I introduced a linear conception of time. Time would no longer restart with each new monarch. Instead, progressively numbered years-continuous and irreversible-became the de facto measure of historical duration. This new temporality, propagated throughout the empire and identical to the system we use today, changed how people did business, recorded events, and oriented themselves to the larger world. Some rebellious subjects, eager to resurrect their pre-Hellenic past, rejected this new approach and created apocalyptic time frames, predicting the total end of history. In this magisterial work, Paul Kosmin shows how the Seleucid Empire's invention of a new kind of time-and the rebellions against this worldview-had far reaching political and religious consequences, transforming the way we organize our thoughts about the past, present, and future. "Without Paul Kosmin's meticulous investigation of what Seleucus achieved in creating his calendar without end we would never have been able to comprehend the traces of it that appear in late antiquity...A magisterial contribution to this hitherto obscure but clearly important restructuring of time in the ancient Mediterranean world." -G. W. Bowersock, New York Review of Books "With erudition, theoretical sophistication, and meticulous discussion of the sources, Paul Kosmin sheds new light on the meaning of time, memory, and identity in a multicultural setting." -Angelos Chaniotis, author of Age of Conquests

A dramatic new account of the parallel quests to harness time that culminated in the revolutionary science of relativity, "Einstein's Clocks, Poincare's Maps" is "part history, part science, part adventure, part biography, part meditation on the meaning of modernity....In Galison's telling of science, the meters and wires and epoxy and solder come alive as characters, along with physicists, engineers, technicians and others....Galison has unearthed fascinating material" ("New York Times"). Clocks and trains, telegraphs and colonial conquest: the challenges of the late nineteenth century were an indispensable real-world background to the enormous theoretical breakthrough of relativity. And two giants at the foundations of modern science were converging, step-by-step, on the answer: Albert Einstein, an young, obscure German physicist experimenting with measuring time using telegraph networks and with the coordination of clocks at train stations; and the renowned mathematician Henri Poincare, president of the French Bureau of Longitude, mapping time coordinates across continents. Each found that to understand the newly global world, he had to determine whether there existed a pure time in which simultaneity was absolute or whether time was relative. Esteemed historian of science Peter Galison has culled new information from rarely seen photographs, forgotten patents, and unexplored archives to tell the fascinating story of two scientists whose concrete, professional preoccupations engaged them in a silent race toward a theory that would conquer the empire of time."

MAYAN STUDIES / NEW AGE"Reading this book is a powerful and electrifying experience. Each page offers penetrating insights that unravel the deepest mysteries of human history and the evolution of global consciousness." Michael E. Salla, Ph.D., Center for Global Peace The prophetic Mayan calendar is not keyed to the movement of planetary bodies. Instead, it functions as a metaphysical map of the evolution of consciousness and records how spiritual time flows, providing a new science of time. The calendar is associated with nine creation cycles, each of which represents one of nine levels of consciousness or Underworlds on the Mayan cosmic pyramid. Using empirical research, Carl Johan Calleman shows how this pyramidal structure of the development of consciousness can explain matters as disparate as the common origin of world religions and the modern complaint that time seems to be moving faster. Readers will learn that time is, in fact, speeding up as we transition from the materialistic Planetary Underworld that governs us today to a new and higher frequency of consciousness--the Galactic Underworld--in preparation for the final Universal level of conscious enlightenment. The Mayan Calendar and the Transformation of Consciousness reveals the Mayan calendar as a spiritual device that enables a greater understanding of the nature of conscious evolution throughout human history--and how it provides the concrete steps we can take to align ourselves with this growth toward enlightenment. CARL JOHAN CALLEMAN holds a Ph.D. in physical biology and has served as an expert on cancer for the World Health Organization. He began his studies on the Mayan calendar in 1979 and now lectures throughoutthe world. He is also author of Solving the Greatest Mystery of Our Time: The Mayan Calendar. He lives in Sweden.

From epigraphical, archaeological, and literary evidence Jon D. Mikalson has here assembled all relevant data concerning the dates of Athenian festivals, religious ceremonies, and legislative assemblies. This information has been used to revise and update our knowledge of the calendar as it reflects Athenian life. The facts and conclusions that emerge from the author's analysis correct some earlier assumptions. He brings to light new information concerning the meeting days of the Athenian Assembly and the Council, and establishes the days of the monthly festivals. Annual festivals are either dated exactly or fixed within closer time limits. The result of the author's rigorous approach is a collection of reliable evidence as to what religious and secular activities occurred on specific days of the Athenian year. Originally published in 1976. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Sundials, which decorate church walls, public plazas, and elegant gardens, are first and foremost astronomical instruments. Before understanding how sundials work, one must first understand the apparent motion of the Sun in the sky. In this book, Denis Savoie presents the basics of astronomy required to understand sundials and describes how to design and build your own classical sundial. Written to engage all levels of science readers, the author shows the calculations involved in the sundial's construction and also gives a comprehensive history of time measurement.

The book begins with an introduction to cosmography through a study of the Sun's annual and diurnal motions. The Celestial Sphere and the local Celestial Sphere, the hour angle of the sun and the equation of Time are all discussed. The author then moves to a brief history of both sundials and time, giving the general principles behind the sundial, the conversion of solar time to clock time, and discussing the local meridian line. The gnomon and the use of its shadow are also explained in detail. In addition, many types of sundials and their different uses are described. These include the polar, horizontal, and north-facing sundial, just to name a few.

The practical and observational aspects of sundials will enable readers to create custom-made sundial of their own, adding whatever special features they wish to include. Most of these designs have been tested by people with no previous knowledge of astronomy. To aid the reader, the book is full of clear and instructive illustrations and diagrams.