Helisaeus Roeslin’s manuscript Speculum et harmonia mundi, Das ist Wellt Spiegel Erster Theil was conceived as part of a broader project comprising a Speculum ecclesiae as well as a Speculum naturae. This project was connected with a Chronology aiming to establish the precise date of the most important events in history as well as to advance some conjectures about the approaching eschatological future. This article presents some recent discoveries that shed new light on Roeslin’s chronological work after 1579, most importantly (...) the incontrovertible attribution to Roeslin of the anonymous manuscript De potestatibus orbis Christiani, et politicis et ecclesiasticis, Discursus. Here Roeslin presented his discovery of the numerical proportions governing the numbers of spiritual and temporal potestates in the three historical periods, affirming that these numbers were now nearly fullfilled, along with their ensuing eschatological implications. We show how Roeslin published this discovery in his Kurtz Bedencken against the calendar reform and again in 1612 in a short tract on the occasion of the coronation of Emperor Matthias I. The article focuses in particular on the appended broadsheet Tabella des Welt Spiegels, which displayed the completion and culmination of history, according to the astronomical revolutions of the planets as well as the numbers of temporal and spiritual governors. (shrink)

Hard direction, e.g.: Universalese to Organicese. Suggestion: ‘Some chairs wobble’ should become something like ‘If composition were universal, some chairs wobble’ or ‘Assuming that composition is universal, some chairs wobble’ or ‘According to the fiction that composition is universal, some chairs wobble’.

The ArgumentIt is often assumed that all sciences travel the path of increasing precision and quantification. It is also assumed that such processes transcend the boundaries of rival scientific disciplines. The history of the personal equation has been cited as an example: the “personal equation” was the name given by astronomers after Bessel to the differences in measured transit times recorded by observers in the same situation. Later in the nineteenth century Wilhelm Wundt used this phenomenon as a type for (...) his experiments on reaction times. For historians of psychology, this has been taken to be an exemplary case where quantified laboratory science rescued astronomy by showing that this was really a psychological phenomenon measurable only in complication experiments. This paper challenges this story. Astronomers neither ignored, nor despaired of, the personality problem. Instead, the managers of the great observatories developed a new chronometric regime of vigilant surveillance of subordinate observers. The astronomers' solution was thus intimately connected with social and material changes in their way of life: a division of labor in the observatories, a network of observing sites, a mechanization of observation. The paper documents these changes and then presents a study of one case where managers, amateurs, and psychologists clashed for authority over the personality problem. Measurement is given its meaning when situated in specific contexts of styles of work and institutions. Disciplines give meanings to values, and often resist attempts by others to redefine these meanings or to gain authority over measurement. Quantification is not a self-evident nor inevitable process in science's history, but possesses a remarkable cultural history of its own. (shrink)

This paper presents an analysis of the systematic astronomical observations performed by Muḥyī al-Dīn al-Maghribī at the Maragha observatory between 1262 and 1274 AD. In a treatise entitled Talkhīṣ al-majisṭī, preserved in a unique copy at Leiden, Universiteitsbibliotheek, Muḥyī al-Dīn explains his observations and measurements of the Sun, the Moon, the superior planets, and eight reference stars. His measurements of the meridian altitudes of the Sun, the superior planets, and the eight bright stars were made using the mural quadrant (...) of the observatory, and the times of their meridian transit using a water clock. The mean absolute error in the meridian altitudes of the Sun is ~ 3.1′, of the superior planets ~ 4.6′, and of the eight fixed stars ~ 6.2′. The clepsydras used by Muḥyī al-Dīn could apparently fix time intervals with a precision of ± 5 min. His estimation of the magnitudes of three lunar eclipses observed in Maragha in 1262, 1270, and 1274 AD is in close agreement with modern data. (shrink)

Originally published in English in 1973. This volume traces the development of the revolution which so drastically altered manâes view of the universe in the sixteenth and seventeenth centuries. The "astronomical revolution" was accomplished in three stages, each linked with the work of one man. With Copernicus, the sun became the centre of the universe. With Kepler, celestial dynamics replaced the kinematics of circles and spheres used by Copernicus. With Borelli the unification of celestial and terrestrial physics was completed (...) by abandonment of the circle in favour the straight line to infinity. (shrink)

ArgumentA Catoptrica attributed to Euclid appears in manuscripts amongst treatises dealing with elementary astronomy. Despite this textual background, the treatise has always been read literally as a theory of mirrors, and its astronomical significance has gone unnoticed. However, optics, catoptrics, and astronomy appear strongly intermingled in sources such as, amongst others, Geminus, Theon of Smyrna, Plutarch and Cleomedes. If one compares the optical reasoning put forward in these sources to account for the formation of moonlight with arguments of Catoptrica, (...) one is able to shed new light on several principles and propositions of Catoptrica, some of which had been deemed corrupt, meaningless, and obscure. Moreover, the present analysis offers a glimpse at the context of a specific stage in the evolution of ancient catoptrics: Whether literally or by analogy, several of its results appear to have been set against a wider astronomical background, which explains the inclusion of Catoptrica in the group of texts loosely defined as “little astronomy.”. (shrink)

An Andalusian tradition of zījes seems to have been predominant in the Maghrib due to the popularity of the zīj of Ibn Is[hdotu]āq al-Tūnisī and derived texts compiled in the fourteenth century. This tradition computed sidereal planetary longitudes and allowed the calculation of tropical longitudes by using trepidation tables based on models designed in al-Andalus by Abū Is[hdotu]āq ibn al-Zarqālluh. This tradition also used Ibn al-Zarqālluh's model to calculate the obliquity of the ecliptic, which implied that this angle had a (...) cyclical period of oscillation between a maximum of 23;53° and a minimum of 23;33°: after reaching this minimum value the obliquity of the ecliptic was bound to increase. This paper argues that some new Maghribi sources give information on observations made in the Maghrib in the fourteenth and beginning of the fifteenth centuries that imply that precession had increased beyond the limits allowed by the Zarqāllian trepidation theory, while the obliquity of the ecliptic had diminished below the level accepted by astronomers who followed Ibn al-Zarqālluh. This explains the introduction in the Maghrib of Eastern zījes, which computed directly tropical longitudes and did not accept the cyclical variation of the obliquity. Information about observations of dawn and twilight made both in Egypt and in the Maghrib in the fourteenth and fifteenth centuries is also presented. (shrink)

This paper surveys the results established so far by the on-going research on the planetary theories in Arabic astronomy. The most important results of the Maragha astronomers are gathered here for the first time, and new areas for future research are delineated. The conclusions reached demonstrate that the Arabic astronomical works mentioned here not only elaborate the connection between Arabic astronomy and Copernicus, but also that such activities, namely the continuous reformulation of Greek astronomy, were not limited to a (...) specific group of astronomers or to a specific geographical area. It is shown that such activities were spread over a period of more than seven hundred years, from the early eleventh till the sixteenth century, and over an area stretching from the Andalusian peninsula in the west to the farthest reaches of Central Asia in the east. (shrink)

ArgumentTextual and material evidence suggests that early Byzantine architects, known asmechanikoi, were comprehensively educated in the mathematical sciences according to contemporary standards. This paper explores the significance of the astronomical and optical sciences for the working methods of the twomechanikoiof Hagia Sophia in Constantinople, Anthemios of Tralles and Isidoros of Miletus. It argues that one major concern in the sixth-century architectural design of the Great Church was the visual effect of its sacred interior, particularly the luminosity within. Anthemios and (...) Isidoros seem to have been thoroughly conversant with the ancient corpus of astronomical and optical writings and, as will be shown, implemented their theoretical knowledge in the design of Hagia Sophia. Specifically, the paper demonstrates that the orientation of the building's longitudinal axis coincides with the sunrise on the winter solstice according to ancient computations, implying that the orientation was intentionally calculated in order to secure an advantageous natural illumination of the interior. Light and visual effects served to reinforce the symbolic significance of the sacred space that furthermore provides evidence for optical considerations with respect to late antique concepts of light and vision. (shrink)

(1) Assuming the significates of non-complex terms, in this treatise I intend to investigate certain properties of terms, [properties] that are applicable to them only insofar as they are parts of propositions. (2) Now I divide this tract into three parts. The first is about the supposition of terms, the second about appellation, and the third about copulation. Supposition belongs to the subject, appellation to the predicate. Copula-.

Abstract:This article examines the use of astronomical chronology in Jesuit and secular works of history between the mid-seventeenth and mid-eighteenth centuries. It suggests that the highly visible adoption of astronomical records in historical scholarship in Enlightenment Europe by Nicolas Fréret and Voltaire was entangled with debates about Chinese chronology, translated by Jesuit missionaries. The article argues that the missionary Martino Martini's experience of the Manchu conquest of China was crucial in shaping his conception of history as a discipline. (...) Political events that unfolded in seventeenth-century China had a marked effect on discussions about emergent world history in eighteenth-century Europe. (shrink)

Newman remains an ecumenical figure held in high esteem by Roman Catholics and Anglicans. His ecumenical hermeneutics is observable in Tract No. 90. This Tract is a re-reading of the Thirty-nine Articles of Religion ratified in 1571 as the fundamentals of the Anglican faith. This tract is the product of the Oxford Movement that returned to the Antiquity in view of resolving the Anglican faith crises epitomized by erastianism. This return to the Fathers of the Church had a lot of (...) implications for the Anglican faith. Influenced by Antiquity, Newman rediscovered the common grounds between the Anglican faith and the church Catholic that inheres in the Roman Church. Thus, Tract No. 90 demonstrated that more things united the Nineteenth Anglicans and the Roman Catholics than what separated them. (shrink)

Summary The Copernican system was condemned as heretical by a decree of the Roman Inquisition in 1633. This decree was effectively, though not officially, withdrawn in 1757, after which date Catholic astronomers felt themselves free to accept and propagate the system without reserve. Between these dates their attitudes varied greatly. In France the decree was never promulgated and was legally unenforceable. Astronomers could be Copernican without any fear of consequences and most of them were, though some, out of respect for (...) the Church, refrained from declaring themselves publicly. In Italy the possible risks were greater, but a few Copernican or near-Copernican works were published without hostile reactions. The ecclesiastical authorities were tolerant and made little positive effort to enforce conformity. By 1744, the system was being freely propagated in Rome itself. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Tract 16:What I Did Not Steal, Must I Now Restore?AnonymousThe field of modern theology is replete with varied, often competing, attempts to craft a comprehensive theology of salvation. One could say many things about this phenomenon, but the difficulty of the task arises largely from the fact that Scripture nowhere gives us a tidy soteriology of that kind. Instead, we have a wide variety of ways of speaking about (...) the unique work of Christ, interpreting his life, death, and resurrection "according to the Scriptures." In keeping with this, we find among the Fathers, and even within single authors, a variety of ways of speaking about salvation and its accomplishment. The Fathers ponder, praise, and marvel at Christ and his work in a variety of literary modes. They sing the praise of the saving triune God in a variety of biblical keys.1 [End Page 313]In this essay, I will look at Christ's offering of his life for our salvation from one particular vantage-point, that of Ps 69:4:What I did not steal,Must I now restore?Ps 69 is a striking Messianic psalm.2 It shows up in explicit quotations or fairly clear allusions at least eight times in the New Testament (Matt 27:34 and parallels; John 2:17; 15:25; 19:28–29; Acts 1:20; Rom 11:9; 15:13; 2 Cor 6:2), several of which are tied to the Passion in the Gospel of John (2:17; 15:28; 19:28–29). It has close parallels with the servant songs in Isaiah. It is widely seen in the Christian tradition as a psalm that speaks of the sufferings of Jesus Christ, a key text for the apostolic authors' interpretation of Christ.3Broadly speaking, Ps 69 falls into the category of a psalm of petition in [End Page 314] the face of enemies.4 The psalmist cries out to God in the midst of severe suffering that threatens to overwhelm him like a flood. He is sunk in deep mire, unable to get a foothold. The foes who surround him outnumber the hairs of his head, and they hate him, he says at first, without cause. Later, he goes on to say that there is, in fact, a cause: his zeal for God's house, which incites his enemies to insult him, mock him, gossip about him. After pleading with God for help, the psalm concludes in a way remarkably similar to the other great psalm that the New Testament takes as a prophecy of Christ's passion, Ps 22, with a great hymn of praise (vv. 30–36). One can imagine this psalm on the lips of Christ, not only on the Cross, but in the garden, where, the author of Hebrews says: "Jesus offered up prayers and supplications, with loud cries and tears, to him who was able to save him from death, and he was heard for his godly fear" (5:7).Verse 4 of Ps 69 does not show up explicitly in the New Testament, but I will argue that it neatly encapsulates one dimension of Christ's redeeming work. On the literal level, the couplet simply states that the psalmist is innocent but is treated as guilty; he might even be quoting a proverb to that effect.5 Viewed in light of Christ's work as depicted in the New Testament as a whole, however, Ps 69:4 fits into the broad typology of Christ as the second, or last, and sinless Adam, who reverses the effect of the first human's sin. I will approach the topic by asking three questions: What was stolen? How was it restored? In what does this restoration consist?What Was Stolen?When Christ cries out in this psalm, "What I did not steal," to what is he referring? What is the stolen good that Christ must now restore? One clear candidate for this is the honor due to God, expressed fundamentally through obedience and worship,6 the honor which Adam failed to offer, choosing [End Page 315] instead to attempt to seize the glory of God for himself.7 Commenting on John 15:29–31, Augustine... (shrink)

With very advanced technology, a very large population of people living happy lives could be sustained in the accessible region of the universe. For every year that development of such technologies and colonization of the universe is delayed, there is therefore a corresponding opportunity cost: a potential good, lives worth living, is not being realized. Given some plausible assumptions, this cost is extremely large. However, the lesson for standard utilitarians is not that we ought to maximize the pace of technological (...) development, but rather that we ought to maximize its safety, i.e. the probability that colonization will eventually occur. This goal has such high utility that standard utilitarians ought to focus all their efforts on it. Utilitarians of a ‘person-affecting’ stripe should accept a modified version of this conclusion. Some mixed ethical views, which combine utilitarian considerations with other criteria, will also be committed to a similar bottom line. (shrink)

A reanalysis of the eight astronomical images that Johann Adam Schall von Bell incorporated in the first Chinese treatise on the telescope to illustrate the telescopic discoveries made by Galileo Galilei shows that they were borrowed from the works on telescopic astronomy by Galileo Galilei and Johann Georg Locher, a student of Christopher Scheiner. Except minor changes to both Galileo’s illustrations of the telescopic view of the moon and nebulae and Locher’s illustration of sunspots, Locher’s images about the phases (...) of Venus and Jovian satellites were redrawn presumably to convey a clearer commitment to Tycho Brahe’s system of the world and most of the contents in Locher’s image of Saturn was replaced by Schall’s own observation. These changes seem to be the result of two important factors that confined the transcultural transmission of astronomical knowledge from Europe to China through the Jesuits in the seventeenth century, namely the official standpoint of the Catholic Church on the ongoing cosmological issues and the cultural tradition of Chinese astronomy. (shrink)

A reanalysis of the eight astronomical images that Johann Adam Schall von Bell incorporated in the first Chinese treatise on the telescope to illustrate the telescopic discoveries made by Galileo Galilei shows that they were borrowed from the works on telescopic astronomy by Galileo Galilei and Johann Georg Locher, a student of Christopher Scheiner. Except minor changes to both Galileo’s illustrations of the telescopic view of the moon and nebulae and Locher’s illustration of sunspots, Locher’s images about the phases (...) of Venus and Jovian satellites were redrawn presumably to convey a clearer commitment to Tycho Brahe’s system of the world and most of the contents in Locher’s image of Saturn was replaced by Schall’s own observation. These changes seem to be the result of two important factors that confined the transcultural transmission of astronomical knowledge from Europe to China through the Jesuits in the seventeenth century, namely the official standpoint of the Catholic Church on the ongoing cosmological issues and the cultural tradition of Chinese astronomy. (shrink)

A hard difficulty in Astrobiology is the precise definition of what life is. All living beings have a cellular structure, so it is not possible to have a broader concept of life hence the search for extraterrestrial life is restricted to extraterrestrial cells. Earth is an astronomical rarity because it is difficult for a planet to present liquid water on the surface. Two antagonistic bioethical principles arise: planetary protection and terraforming. Planetary protection is based on the fear of interplanetary (...) cross-infection and possible ecological damages caused by alien living beings. Terraforming is the intention of modifying the environmental conditions of the neighbouring planets in such a way that human colonisation would be possible. The synthesis of this antagonism is ecopoiesis, a concept related to the creation of new ecosystems in other planets. Since all the multicellular biodiversity requires oxygen to survive, only extremophile microorganisms could survive in other planets. So, it could be carried out a simulation of a meteorite by taking to other planets portions of the terrestrial permafrost, or ocean or soil, so that if a single species could grow, a new ecosystem would start, as well as a new Natural History. As a conclusion, ecopoiesis should be the bioethical principle to guide practices and research in Astrobiology. (shrink)

Hume's Enlightenment Tract is the first full study for forty years of David Hume's Enquiry concerning Human Understanding. The Enquiry has, contrary to its author's expressed wishes, long lived in the shadow of its predecessor, A Treatise of Human Nature. Stephen Buckle presents the Enquiry in a fresh light, and aims to raise it to its rightful position in Hume's work and in the history of philosophy.

Asif A. Ghazanfar,1,3,* Hjalmar K. Turesson,1,3 statistical pattern recognition [16, 17] and psychophys- Joost X. Maier,1 Ralph van Dinther,2 ics [13, 18–23] have suggested that formants are signif- Roy D. Patterson,2 and Nikos K. Logothetis1 icant contributors to these indexical cues. It is likely, 1Max Planck Institute for Biological Cybernetics then, that detecting formants could have provided 72076 Tuebingen ancestral primates with indexical cues necessary for Germany navigating the complex social interactions that are the 2Centre for the Neural Basis of (...) Hearing essence of primate societies. One important indexical Department of Physiology cue is body size. Formant cues related to body size University of Cambridge could be used by monkeys to determine the sex (in sex- CB2 3EG Cambridge ually dimorphic species), degree of potential threat (e.g., United Kingdom whether a competitor is larger or smaller), and/or age of an individual, as such cues do for human listeners [13, 18, 20, 21]. Summary Formants are the result of acoustic filtering by the supralaryngeal vocal tract—the nasal and oral cavities Vocal-tract resonances (or formants) are acoustic sigabove the vocal folds. During vocal production, pulses natures in the voice and are related to the shape and of air generated by the rapid movement of the vocal length of the vocal tract. Formants play an important folds produce an acoustic signal. The frequency of these role in human communication, helping us not only to pulses—the glottal-pulse rate—determines the fundadistinguish several different speech sounds [1], but mental frequency of the signal, which in turn is perceived also to extract important information related to the as pitch. As the signal passes through the supralaryngphysical characteristics of the speaker, so-called ineal vocal tract, it excites resonances, resulting in the dexical cues. How did formants come to play such an enhancement of particular frequency bands; these are important role in human vocal communication? One the formants.. (shrink)

Hume's Enlightenment Tract is the first full book-length study for forty years of David Hume's Enquiry concerning Human Understanding. The Enquiry has, contrary to its author's expressed wishes, long lived in the shadow of its predecessor, A Treatise of Human Nature. Stephen Buckle presents the Enquiry in a fresh light, and aims to raise it to its rightful position in Hume's work and in the history of philosophy. He argues that the Enquiry is not, as so often assumed, a mere (...) collection of watered-down extracts from the earlier work. It is, rather, a coherent work with a unified argument; and, when this argument is grasped as a whole, the Enquiry shows itself to be the best introduction to the lineaments of its author's general philosophy. Buckle offers a careful guide through the argument and structure of the work. He shows how the central sections of the Enquiry offer a critique of the dogmatic empiricisms of the ancient world, and set in place an alternative conception of human powers based on the sceptical principles of habit and probability. These principles are then put to work, to rule out philosophy's metaphysical ambitions and their consequences: religious systems and their attendant conception of human beings as semi-divine rational animals. Hume's scepticism, experimentalism, and naturalism are thus shown to be different aspects of the one unified philosophy - a sceptical version of the Enlightenment vision. (shrink)

Hume's Enlightenment Tract is the first full book-length study for forty years of David Hume's Enquiry concerning Human Understanding. The Enquiry has, contrary to its author's expressed wishes, long lived in the shadow of its predecessor, A Treatise of Human Nature. Stephen Buckle presents the Enquiry in a fresh light, and aims to raise it to its rightful position in Hume's work and in the history of philosophy. He argues that the Enquiry is not, as so often assumed, a mere (...) collection of watered-down extracts from the earlier work. It is, rather, a coherent work with a unified argument; and, when this argument is grasped as a whole, the Enquiry shows itself to be the best introduction to the lineaments of its author's general philosophy. Buckle offers a careful guide through the argument and structure of the work. He shows how the central sections of the Enquiry offer a critique of the dogmatic empiricisms of the ancient world, and set in place an alternative conception of human powers based on the sceptical principles of habit and probability. These principles are then put to work, to rule out philosophy's metaphysical ambitions and their consequences: religious systems and their attendant conception of human beings as semi-divine rational animals. Hume's scepticism, experimentalism, and naturalism are thus shown to be different aspects of the one unified philosophy - a sceptical version of the Enlightenment vision. (shrink)

command, she can by employing them respectively affect things external, as when we take up a book; or the body, as when we wipe our face; or herself, as when we recollect some past occurrence. All which actions are ordinarily ascribed ...

Book Information Hume's Enlightenment Tract: The Unity and Purpose of 'An Enquiry Concerning Human Understanding'. By Stephen Buckle. Clarendon Press. Oxford. 2001. Pp. xi + 351. Hardback, 40.

This article presents evidence that an anonymous publication of 1573, aLetter sent by a gentleman of England [concerning …] the myraculous starre nowe shyning, was written by Thomas Digges, England's first Copernican. It tells the story of how it arose out of research commissioned by Elizabeth I's privy counsellors in response to the conventional argument of Jean Gosselin, librarian to Henri III of France, that the star was a comet which presaged wars. The text is significant because it seems to (...) contain the observations and opinions that Digges held before he completed his other astronomical treatise, the groundbreakingAlae seu scalae mathematicae. It also casts some light on the development of Digges's radical and puritan views about the star, Copernican astronomy, the infinity of the universe and a belief that the ‘latter days’ of the world had arrived. (shrink)

This unique volume by two renowned astrophotographers unveils the science and history behind 100 of the most significant astronomical images of all time. The authors have carefully selected their list of images from across time and technology to bring to the reader the most relevant photographic images spanning all eras of modern astronomical history. Based on scientific evidence today we have a basic notion of how Earth and the universe came to be. The road to this knowledge was (...) paved with 175 years of astronomical images acquired by the coupling of two revolutionary technologies - the camera and telescope. With ingenuity and determination humankind would quickly embrace these technologies to tell the story of the cosmos and unravel its mysteries. This book presents in pictures and words a photographic chronology of our aspiration to understand the universe. From the first fledgling attempts to photograph the Moon, planets, and stars to the marvels of orbiting observatories that record the cosmos at energies beyond the range of human vision, astronomers have always relied on images to "break through" to the next level of understanding. A subset of these breakthrough images has profound significance in documenting some of the greatest milestones in modern astronomy. (shrink)

In this article it is argued that a continuity exists between Karl Schwarzschild's work on foundational problems on the borderline of physics and astronomy and his later occupation with general relativity. Based on an analysis of Schwarzschild's published works as well as formerly neglected unpublished notes it is shown that, long before the rise of general relativity, Schwarzschild was concerned with problems that later became associated with that theory. In particular he considered non-Euclidean cosmologies, linked the phenomena of gravitation and (...) inertia to the problem of the precession of Mercury's perihelion, and entertained the possibility of inertial frames rotating with respect to one another. It is argued that these earlier considerations, which reflect his interdisciplinary outlook on the foundations of the exact sciences, enabled Schwarzschild to recognize the significance of general relativity for astronomy, astrophysics, and cosmology earlier than most of his collegues and shaped his contributions to this theory. (shrink)

ArgumentThe Astronomical Book of Enoch describes the passage of the moon through the gates of heaven, which stand at the edges of the earth. In doing so, the book describes the position of the rising and setting of the moon on the horizon. Otto Neugebauer, the historian of ancient science, suggested using the detailed tables found in later Ethiopic texts in order to reconstruct the path of the moon through the gates. This paper offers a new examination of earlier (...) versions of the Astronomical Book, using a mathematical analysis of the figures and astronomical theories presented throughout the Aramaic Astronomical Book; the results fit both the data preserved in the scrolls and the mathematical approach and religious ideology of the scroll's authors better than the details found in the late Ethiopic texts. Among other new insights, this alternate theory also teaches about the process of the composition of the Astronomical Book in the first centuries of its composition. (shrink)