This book offers a detailed and fascinating picture of the astonishing astronomical knowledge on which the Roman calendar, traditionally attributed to the king Numa Pompilius (reign 715-673 B.C.), was based. This knowledge, of Mesopotamian origins, related mainly to the planetary movements and to the occurrence of eclipses in the solar system. The author explains the Numan year and cycle and illustrates clearly how astronomical phenomena exerted a powerful influence over both public and private life. A series of concise chapters examine the dates of the Roman festivals, describe the related rites and myths and place the festivals in relation to the planetary movements and astronomical events. Special reference is made to the movements of the moon and Venus, their relation to the language of myth, and the particular significance that Venus was considered to have for female fertility. The book clearly demonstrates the depth of astronomical knowledge reflected in the Roman religious calendar and the designated festive days. It will appeal both to learned connoisseurs and to amateurs with a particular interest in the subject.

Time - relentless, ever-present but intangible and the single element over which human beings have no absolute control - has long proved a puzzle. The author examines the phenomenon of time and asks such fascinating questions as how time impinges on people, to what extent our awareness of time is culturally conditioned, how societies deal with temporal problems and whether time can be considered a `resource' to be economized. More specifically, he provides a consistent and detailed analysis of theories put forward by a number of thinkers such as Durkheim, Evans-Pritchard, Levi-Strauss, Geertz, Piaget, Husserl and Bourdieu. His discussion encompasses four main approaches in time research, namely developmental psychology, symbolic anthropology (covering the bulk of post-Durkheimian social anthropology) `economic' theories of time in social geography and, finally, phenomenological theories. The author concludes by presenting his own model of social/cognitive time, in the light of these critical discussions of the literature.

The use of calendars dates back thousands of years. Why are we driven to record time, and what would happen if we did not? Who created the concept of calendars? Why do different cultures use different calendar systems? And why are calendars so important to us? It is about "time" we found out! Created in collaboration with the Smithsonian Institution, this Spanish Smithsonian Informational Text builds reading skills while engaging students' curiosity about STEAM topics through real-world examples. Packed with factoids and informative sidebars, it features a hands-on STEAM challenge that is perfect for use in a makerspace and teaches students every step of the engineering design process. Make STEAM career connections with career advice from actual Smithsonian employees working in STEAM fields. Discover engineering innovations that solve real-world problems with content that touches on all aspects of STEAM: Science, Technology, Engineering, the Arts, and Math!

An invaluable resource for working programmers, as well as a fount of useful algorithmic tools for computer scientists, astronomers, and other calendar enthusiasts, The Ultimate Edition updates and expands the previous edition to achieve more accurate results and present new calendar variants. The book now includes coverage of Unix dates, Italian time, the Akan, Icelandic, Saudi Arabian Umm al-Qura, and Babylonian calendars. There are also expanded treatments of the observational Islamic and Hebrew calendars and brief discussions of the Samaritan and Nepalese calendars. Several of the astronomical functions have been rewritten to produce more accurate results and to include calculations of moonrise and moonset. The authors frame the calendars of the world in a completely algorithmic form, allowing easy conversion among these calendars and the determination of secular and religious holidays. LISP code for all the algorithms is available in machine-readable form.

Is time, even locally, like the real line? Multiple structures of time, implicit in physics, create a consistency problem. A tilt in the arrow of time is suggested as the most conservative hypothesis which provides approximate consistency within physics and with topology of mundane time. Mathematically, the assumed constancy of the velocity of light (needed to measure time) implies functional differential equations of motion, that have both retarded and advanced deviating arguments with the hypothesis of a tilt. The novel features of such equations lead to a nontrivial structure of time and quantum-mechanical behaviour. The entire argument is embedded in a pedagogical exposition which amplifies, corrects, and questions the conventionally accepted approach. The exposition includes historical details and explains, for instance, why the entropy law is inadequate for time asymmetry, and why notions such as time asymmetry (hence causality) may be conceptually inadequate. The first three parts of the book are especially suited as supplementary reading material for undergraduate and graduate students and teachers of physics. The new ideas are addressed to researchers in physics and philosophy of science concerned with relativity and the interpretation of quantum mechanics.

The arrow of time refers to the curious asymmetry that distinguishes the future from the past. Reversing the Arrow of Time argues that there is an intimate link between the symmetries of 'time itself' and time reversal symmetry in physical theories, which has wide-ranging implications for both physics and its philosophy. This link helps to clarify how we can learn about the symmetries of our world; how to understand the relationship between symmetries and what is real, and how to overcome pervasive illusions about the direction of time. Roberts explains the significance of time reversal in a way that intertwines physics and philosophy, to establish what the arrow of time means and how we can come to know it. This book is both mathematically and philosophically rigorous yet remains accessible to advanced undergraduates in physics and philosophy of physics. This title is also available as Open Access on Cambridge Core.

Time is fundamental to our experience, but remains mysterious. This book shows how philosophers and scientists have tried to grapple with this most extraordinary of ordinary phenomena. From the attempts of early astronomers to reconcile solar and lunar and terrestrial reckonings, to the huge expansions and contractions of time consciousness brought on by scientists as diverse as Newton, Darwin, and Einstein, this book shows how time is as much a matter of human choice as it is a matter of scientific precision.

The aim of this interdisciplinary study is to reconstruct the evolution of our changing conceptions of time in the light of scientific discoveries. It will adopt a new perspective and organize the material around three central themes, which run through our history of time reckoning: cosmology and regularity; stasis and flux; symmetry and asymmetry. It is the physical criteria that humans choose - relativistic effects and time-symmetric equations or dynamic-kinematic effects and asymmetric conditions - that establish our views on the nature of time. This book will defend a dynamic rather than a static view of time.

McTaggart's argument for the unreality of time, first published in 1908, set the agenda for 20th-century philosophy of time. Yet there is very little agreement on what it actually says-nobody agrees with the conclusion, but still everybody finds something important in it. This book presents the first critical overview of the last century of debate on what is popularly called "McTaggart's Paradox". Scholars have long assumed that McTaggart's argument stands alone and does not rely on any contentious ontological principles. The author demonstrates that these assumptions are incorrect-McTaggart himself explicitly claimed his argument to be dependent on the ontological principles that form the basis of his idealist metaphysics. The result is that scholars have proceeded to understand the argument on the basis of their own metaphysical assumptions, duly arriving at very different interpretations. This book offers an alternative reading of McTaggart's argument, and at the same time explains why other commentators arrive at their mutually incompatible interpretations. It will be of interest to students and scholars with an interest in the philosophy of time and other areas of contemporary metaphysics.

George Synkellos, a monk of Constantinople who once held a position of authority under the patriarch Tarasios, composed (in Greek) a chronicle of universal history in the early ninth century. Beginning with the creation of the universe, the chronicle preserves a rich collection of ancient sources, many of them otherwise unknown. The English translation provided here, together with introduction and notes, promises to make this influential and wide-ranging history more accessible.

From Stonehenge to beyond the Big Bang, an exhilarating scientific exploration of how we make time Time is the grandest conception of the universe that we humans have been able to imagine – and its most intimate, the very frame of human life. In About Time, astrophysicist and award-winning writer Adam Frank tells the scientific story of this wonderful and tyrannical invention. A Palaeolithic farmer moved through the sun-fuelled day and star-steered night in a radically different way than the Elizabethan merchants who set their pace to the clocks newly installed in their town squares. Since then, science has swept time into increasingly minute and standardized units – the industrial efficiency of ironworks’ punch clocks; the space-age precision of atomic fountains and GPS satellites; the fifteen-minute increments of Outlook’s digital revolution. And in the past decade, string-theory branes, multiverses, and “clockless” physics have begun to overturn our ideas about how the universe began – the Big Bang – in ways that will completely rewrite time and our experience of it. Weaving cosmology with day-to-day chronicles and a down-to-earth style, About Time is both dazzling and riveting as it confronts what comes next.

For thousands of years, people of all cultures have made and used clocks, from the city sundials of ancient Rome to the medieval water clocks of imperial China, hourglasses fomenting revolution in the Middle Ages, the Stock Exchange clock of Amsterdam in 1611, Enlightenment observatories in India, and the high-precision clocks circling the Earth on a fleet of GPS satellites that have been launched since 1978. Clocks have helped us navigate the world and build empires, and have even taken us to the brink of destruction. Elites have used them to wield power, make money, govern citizens, and control lives-and sometimes the people have used them to fight back. Through the stories of twelve clocks, About Time brings pivotal moments from the past vividly to life. Historian and lifelong clock enthusiast David Rooney takes us from the unveiling of al-Jazari's castle clock in 1206, in present-day Turkey; to the Cape of Good Hope observatory at the southern tip of Africa, where nineteenth-century British government astronomers moved the gears of empire with a time ball and a gun; to the burial of a plutonium clock now sealed beneath a public park in Osaka, where it will keep time for 5,000 years. Rooney shows, through these artifacts, how time has been imagined, politicized, and weaponized over the centuries-and how it might bring peace. Ultimately, he writes, the technical history of horology is only the start of the story. A history of clocks is a history of civilization.

'This is a thought-provoking book that would be of interest to anyone wanting to ponder the concept of time, and to develop more critical thinking skills that may be useful when reading popular science books or articles.'IEEE Electrical Insulation MagazineThe aim of this book is to explain in simple language what we know about time and about the history of time. It is shown that the briefest (as well as the lengthiest) history of time can be described in one or two pages.The second purpose of the book is to show that neither entropy, nor the Second Law of Thermodynamics has anything to do with time. The third purpose is to educate the lay reader how to read popular science books, critically. Towards this goal, detailed reviews of four books on time are presented.There are many popular science books on Time, on the beginning of Time and the end of Time. This book is unique in the following two senses:

McTaggart's argument for the unreality of time, first published in 1908, set the agenda for 20th-century philosophy of time. Yet there is very little agreement on what it actually says-nobody agrees with the conclusion, but still everybody finds something important in it. This book presents the first critical overview of the last century of debate on what is popularly called "McTaggart's Paradox". Scholars have long assumed that McTaggart's argument stands alone and does not rely on any contentious ontological principles. The author demonstrates that these assumptions are incorrect-McTaggart himself explicitly claimed his argument to be dependent on the ontological principles that form the basis of his idealist metaphysics. The result is that scholars have proceeded to understand the argument on the basis of their own metaphysical assumptions, duly arriving at very different interpretations. This book offers an alternative reading of McTaggart's argument, and at the same time explains why other commentators arrive at their mutually incompatible interpretations. It will be of interest to students and scholars with an interest in the philosophy of time and other areas of contemporary metaphysics.

Time and Age explores how time is defined by man. It follows the development of our means for measuring time from early methods using the flow of water or the steady burning of candles through to the atomic clock that records time with incredible precision.The classical idea of time as something that progresses at a uniform rate and as something that is the same to all observers was overturned by Einstein's Theory of Relativity. The conclusions coming from this theory are described, including the anti-intuitive twin paradox where one twin, returning from a journey to a distant star, is younger than his twin brother.Also covered is how age can be determined in a wide range of situations, such as how we work out the age of the Universe to how we calculate the age of artefacts that are just a few centuries old.

Time and Age explores how time is defined by man. It follows the development of our means for measuring time from early methods using the flow of water or the steady burning of candles through to the atomic clock that records time with incredible precision.The classical idea of time as something that progresses at a uniform rate and as something that is the same to all observers was overturned by Einstein's Theory of Relativity. The conclusions coming from this theory are described, including the anti-intuitive twin paradox where one twin, returning from a journey to a distant star, is younger than his twin brother.Also covered is how age can be determined in a wide range of situations, such as how we work out the age of the Universe to how we calculate the age of artefacts that are just a few centuries old.

First Published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

The concept of time is salient to all human affairs and can be understood in a variety of different ways. This pioneering collection is the first comprehensive survey of time and archaeology. It includes chapters from a broad, international range of contributors, which combine theoretical and empirical material. They illustrate and explore the diversity of archaeological approaches to time.

Three divinatory calendars from highland Guatemala -- examples of a Mayan literary tradition that includes the Popul Vuh, Annals of the Cakchiquels, and the Titles of the Lords of Totonicapan -- dating to 1685, 1722, and 1855, are transcribed in K'iche or Kaqchikel side-by-side with English translations. Calendars such as these continue to be the basis for prognostication, determining everything from the time for planting and harvest to foreshadowing illness and death. Good, bad, and mixed fates can all be found in these examples of the solar calendar and the 260-day divinatory calendar. The use of such calendars is mentioned in historical and ethnographic works, but very few examples are known to exist. Each of the three calendars transcribed and translated by John M Weeks, Frauke Sachse, and Christian M Prager -- and housed at the University of Pennsylvania Museum of Archaeology and Anthropology -- is unique in structure and content. Moreover, except for an unpublished study of the 1722 calendar by Rudolf Schuller and Oliver La Farge (1934), these little-known works appear to have escaped the attention of most scholars. Introductory essays contextualise each document in time and space, and a series of appendixes present previously unpublished calendrical notes assembled in the early twentieth century. Providing considerable information on the divinatory use of calendars in colonial highland Maya society previously unavailable without a visit to the University of Pennsylvania's archives, Maya Daykeeping is an invaluable primary resource for Maya scholars.

A history of the innovation and effects of the French Republican Calendar. The French Republican Calendar was perhaps the boldest of all the reforms undertaken in Revolutionary France. Introduced in 1793 and used until 1806, the Calendar not only reformed the weeks and months of the year, but decimalisedthe hours of the day and dated the year from the beginning of the French Republic. This book not only provides a history of the calendar, but places it in the context of eighteenth-century time-consciousness, arguing that the French were adept at working within several systems of time-keeping, whether that of the Church, civil society, or the rhythms of the seasons. Developments in time-keeping technology and changes in working patterns challenged early-modern temporalities, and the new calendar can also be viewed as a step on the path toward a more modern conception of time. In this context, the creation of the calendar is viewed not just as an aspect of the broader republican programme of social, political and cultural reform, but as a reflection of a broader interest in time and the culmination of several generations' concern with how society should be policed. Matthew Shaw is a curatorat the British Library, London.

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "reversibility paradox", with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and "chaos theory" or "nonlinear dynamics" has supplied a useful vocabulary and a set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green, Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory - fractals and Lyapunov instability - are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.This expanded edition stresses and illustrates computer algorithms with many new worked-out examples, and includes considerable new material on shockwaves, Lyapunov instability and fluctuations.

"Time" is the most common noun in the English language yet philosophers and scientists don't agree about what time actually is or how to define it. Perhaps this is because the brain tells, represents and perceives time in multiple ways. Dean Buonomano investigates the relationship between the brain and time, looking at what time is, why it seems to speed up or slow down and whether our sense that time flows is an illusion. Buonomano presents his theory of how the brain tells time, and illuminates such concepts as free will, consciousness, space-time and relativity from the perspective of a neuroscientist. Drawing on physics, evolutionary biology and philosophy, he reveals that the brain's ultimate purpose may be to predict the future-and thus that your brain is a time machine.

The nature of time has long puzzled physicists and philosophers. Time potentially has very fundamental yet unknown properties. In 1993 a new model of multi-dimensional time was found to relate closely to properties of the cosmological redshift. An international conference was subsequently convened in April 1996 to examine past, current and new concepts of time as they relate to physics and cosmology. These proceedings incorporate 34 reviews and contributed papers from the conference. The major reviews include observational properties of the redshift, alternative cosmologies, critical problems in cosmology, alternative viewpoints and problems in gravitation theory and particle physics, and new approaches to mathematical models of time. Professionals and students with an interest in cosmology and the structure of the universe should find that this book raises critical problems and explores challenging alternatives to classical viewpoints.

Does time really flow, or is that simply an illusion? Did time have a beginning? What does it mean to say that time has a direction? Does space have boundaries, or is it infinite? Are our space and time unique, or could there be other, parallel worlds with their own space and time? Do space and time really exist, or are they simply the constructions of our minds?

Robin Le Poidevin provides a clear, witty, and stimulating introduction to these deep questions, and many other mind-boggling puzzles and paradoxes. He gives a vivid sense of the difficulties raised by our ordinary ideas about space and time, but he also gives us the basis to think about these problems independently, avoiding large amounts of jargon and technicality. No prior knowledge of philosophy is required to enjoy this book. The universe might seem very different after reading it.

This comprehensive collection of calendars could only have been assembled by the authors of the definitive text on calendar algorithms, Calendrical Calculations. Using the algorithms outlined in their earlier book, Reingold and Dershowitz have achieved the near impossible task of simultaneously displaying the date on thirteen different calendars over a three-hundred year period. Represented here are the Gregorian, ISO, Hebrew, Chinese, Coptic, Ethiopic, Persian, Hindu lunar, Hindu solar, and Islamic calendars; another three are easily obtained from the tables with minimal arithmetic (JD, R.D., and Julian). The tables also include phases of the moon, dates of solstices and equinoxes, and religious and other special holidays for all the calendars shown. These beautifully-produced tables will be of use for centuries by anyone with an interest in calendars and the societies that produce them.