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.

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.

Collins Big Cat supports every primary child on their reading journey from phonics to fluency. Top authors and illustrators have created fiction and non-fiction books that children love to read. Book banded for guided and independent reading, there are reading notes in the back, comprehensive teaching and assessment support and ebooks available. When Shinoy downloads the Chaos Crew app on his phone, a glitch in the system gives him the power to summon his TV heroes into his world. With the team on board, Shinoy can figure out what dastardly plans S.N.A.I.R. has come up with, and save the day. Location: Somewhere very high up Operative: Mustang Harry Mission: Stop the clock and start time. Don't look down! This exciting title is part of the Shinoy and the Chaos Crew series by Chris Callaghan. White/Band 10 books have more complex sentences and figurative language. Ideas for reading in the back of the book provide practical support and stimulating activities.

On April 6, 1922, in Paris, Albert Einstein and Henri Bergson publicly debated the nature of time. Einstein considered Bergson's theory of time to be a soft, psychological notion, irreconcilable with the quantitative realities of physics. Bergson, who gained fame as a philosopher by arguing that time should not be understood exclusively through the lens of science, criticized Einstein's theory of time for being a metaphysics grafted on to science, one that ignored the intuitive aspects of time. The Physicist and the Philosopher tells the remarkable story of how this explosive debate transformed our understanding of time and drove a rift between science and the humanities that persists today. Jimena Canales introduces readers to the revolutionary ideas of Einstein and Bergson, describes how they dramatically collided in Paris, and traces how this clash of worldviews reverberated across the twentieth century. She shows how it provoked responses from figures such as Bertrand Russell and Martin Heidegger, and carried repercussions for American pragmatism, logical positivism, phenomenology, and quantum mechanics. Canales explains how the new technologies of the period--such as wristwatches, radio, and film--helped to shape people's conceptions of time and further polarized the public debate. She also discusses how Bergson and Einstein, toward the end of their lives, each reflected on his rival's legacy--Bergson during the Nazi occupation of Paris and Einstein in the context of the first hydrogen bomb explosion. The Physicist and the Philosopher is a magisterial and revealing account that shows how scientific truth was placed on trial in a divided century marked by a new sense of time.

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.

Two systems of timekeeping were in concurrent use in Venice between 1582 and 1797. Government documents conformed to the Venetian year (beginning 1 March), church documents to the papal year (from 1 January). "Song and Season" defines the many ways in which time was discussed, resolving a long-standing fuzziness imposed on studies of personnel, institutions, and cultural dynamics by dating conflicts. It is in this context that the standardization of timekeeping coincided with the collapse of the "dramma per musica" and the rise of scripted comedy and the "opera buffa," Selfridge-Field discloses fascinating relationships between the musical stage and the cultures it served, such as the residues of medieval liturgical feasts embedded in the theatrical year. Such associations were transmuted into lingering seasonal associations with specific dramatic genres. Interactions between culture and chronology thus operated on both general and specific levels. Both are fundamental to understanding theatrical dynamics of the sixteenth to eighteenth centuries.

One Time Fits All provides the first full framework for understanding attributes of civil time, which is used throughout the world today. It focuses on three components of uniform time all linked to the prime meridian at Greenwich-the International Date Line, the worldwide system of Standard Time zones, and Daylight Saving Time (Summer Time)-tracing the story of their beginnings and eventual acceptance from original sources in Europe, Great Britain, Canada, and the United States. The book concludes with an examination of the recent changes in America's Daylight Saving Time that are scheduled to take effect in 2007.

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

Time is central to our lived experience of the world. Yet, as this book reveals, it is startlingly difficult to reconcile the way we seem to experience time with many of the theories presented to us in physics and metaphysics. This comprehensive and accessible introduction guides the unfamiliar reader through difficult questions at the intersection of the metaphysics and physics of time. It starts with the assumption that physics and metaphysics are inextricably connected, and that each can, and should, shed light on the other. The authors explore a range of views about the nature of time, showing how different these are from the way we typically think about time and our place in it. They consider such questions as: whether time travel is possible, and, if it is, whether we can change the past; whether there is a single moment that is objectively present; whether time flows or is static; and whether, ultimately, time exists at all. An Introduction to the Philosophy of Time will appeal to students of physics and philosophy who want both a comprehensive overview of the area and enough depth to allow for rigorous discussion. The book's detailed readings and exercises will challenge students and provide a clear roadmap for further study.

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.

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.

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.

G. J. Whitrow (1912-2000) begins this classic exploration of the nature of time with a story about a Russian poet, visiting London before the First World War. The poet's English was not too good and when he asked a man in the street, 'Please, what is time?' he received the response, 'But that's a philosophical question. Why ask me?'.
Starting from this simple anecdote, Professor Whitrow takes us on a good-humored and wide-ranging tour of the thing that clocks keep (more or less). He discusses how our ideas of time originated; how far they are inborn in plants and animals; how time has been measured, from sundial and hourglass to the caesium clock, and whether time possesses a beginning, a direction, and an end. He coaxes the diffident layman to contemplate with pleasure the differences between cyclic, linear, biological, cosmic, and space-time, and he provides frequent diversions into fascinating topics such as the Mayan calendar, the migration of birds, the dances of bees, precognition, and the short, crowded lives of mu-mesons, particles produced by cosmic-ray showers that exist for just two millionths of a second.
This reissue of the classic and authoritative What is Time? includes a new introduction by Dr J. T. Fraser, founder of the International Society for the Study of Time, and a bibliographic essay by Dr Fraser and Professor M. P. Soulsby of the Pennsylvania State University.

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.

The revolution is here. In breakthrough after breakthrough, pioneering physicists are unlocking a new quantum universe which provides a better representation of reality than our everyday experiences and common sense ever could. The birth of quantum computers - which, like Schroedinger's famous dead-and-alive cat, rely on entities like electrons existing in a mixture of states - is starting to turn the computing world on its head. In his fascinating study of this cutting-edge technology (first published as Computing with Quantum Cats and now featuring a new foreword), John Gribbin updates his previous views on the nature of quantum reality, arguing for a universe of many parallel worlds where 'everything is real'. Looking back to Alan Turing's work on the Enigma machine and the first electronic computer, Gribbin explains how quantum theory developed to make quantum computers work in practice as well as in principle. He takes us beyond the arena of theoretical physics to explore their practical applications - from machines which learn through 'intuition' and trial and error to unhackable laptops and smartphones. And he investigates the potential for this extraordinary science to allow communication faster than light and even teleportation, as we step into a world of infinite possibility.

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.

As new networks of railways, steamships, and telegraph communications brought distant places into unprecedented proximity, previously minor discrepancies in local time-telling became a global problem. Vanessa Ogle's chronicle of the struggle to standardize clock times and calendars from 1870 to 1950 highlights the many hurdles that proponents of uniformity faced in establishing international standards. Time played a foundational role in nineteenth-century globalization. Growing interconnectedness prompted contemporaries to reflect on the annihilation of space and distance and to develop a global consciousness. Time-historical, evolutionary, religious, social, and legal-provided a basis for comparing the world's nations and societies, and it established hierarchies that separated "advanced" from "backward" peoples in an age when such distinctions underwrote European imperialism. Debates and disagreements on the varieties of time drew in a wide array of observers: German government officials, British social reformers, colonial administrators, Indian nationalists, Arab reformers, Muslim scholars, and League of Nations bureaucrats. Such exchanges often heightened national and regional disparities. The standardization of clock times therefore remained incomplete as late as the 1940s, and the sought-after unification of calendars never came to pass. The Global Transformation of Time reveals how globalization was less a relentlessly homogenizing force than a slow and uneven process of adoption and adaptation that often accentuated national differences.