Kant claimed that we have a duty to seek peace, and encouraged a hope for peace to support that duty. To encourage that hope he argued that peace was reasonably likely. He thought that peace was reasonably likely because he believed that historical trends would create opportunities to implement his plan for peace. But authorities claim that globalization is undermining such opportunities. Consequently Kant's arguments can no longer sustain our hope for peace. We can sustain that hope by devising a (...) new plan for peace that globalization will give us opportunities to implement. But in order to devise such a plan we need to sustain our hope for peace. We can sustain such a hope by reflecting on the value of peace because hope is sustained not only by the belief that the object of hope is likely, but also by the conviction that it is valuable. In this way we can perhaps sustain a hope for peace that will support our duty to seek peace. But the fear of war and compassion for the victims of war may also support the duty to seek peace. Kant ignored these opportunities to support the duty to seek peace because they could support only the duty to avoid war. But Kant never showed that the duty to seek peace—as he saw it—outweighed the duty to avoid war. I conclude that Kant's arguments lead us to endless war rather than to peace. (shrink)

This is a defense of black reparations using the theory of reparations set out in John Locke''s The Second Treatise of Government. I develop two main arguments, what I call the ``inheritance argument'''' and the ``counterfactual argument,''''both of which have been thought to fail. In no case do I appeal to the false ideas that present day United States citizens are guilty of slavery or must pay reparation simply because the U.S. Government was once complicit in the crime.

From Bernard Boxill, professor of philosophy at the University of North Carolina at Chapel Hill and editor of Race and Racism, comes a tightly-argued, very illuminating book that will be essential reading for anyone interested in ...

This study of the concept of orbit is intended to throw light on the nature of revolutionary concepts in science. We observe that Kepler transformed theoretical astronomy that was understood in terms of orbs [Latin: orbes] and models , by introducing a single term, orbit [Latin: orbita], that is, the path of a planet in space resulting from the action of physical causes expressed in laws of nature. To demonstrate the claim that orbit is a revolutionary concept we pursue three (...) lines of argument. First we trace the origin of the term; second, we document its development and specify the meaning of the novel term as it was introduced into astronomy by Kepler in his Astronomia nova . Finally, in order to establish in what sense the concept is revolutionary, we pay attention to the enduring impact that the concept has had on the relevant sciences, in this case astronomy and indeed physics. We claim that orbit is an instance of a revolutionary concept whose provenance and use can provide the insights we are seeking. (shrink)

In this paper, we analyze the astronomical tables in al-Zīj al-Muqtabis by Ibn al-Kammād (early twelfth century, Córdoba), based on the Latin and Hebrew versions of the lost Arabic original, each of which is extant in a unique manuscript. We present excerpts of many tables and pay careful attention to their structure and underlying parameters. The main focus, however, is on the impact al-Muqtabis had on the astronomy that developed in the Iberian Peninsula and the Maghrib and, more generally, on (...) the transmission and diffusion of Indian astronomy in the West after the arrival of al-Khwārizmī’s astronomical tables in al-Andalus (Muslim Spain) in the tenth century. This tradition of Indian origin competed with the Greek tradition represented by al-Battānī’s astronomical tables and was much more alive in the Iberian Peninsula and the Maghrib than previously thought. From Spain, the Indian tradition entered mainstream European astronomy, where we find echoes of it in all versions of the Alfonsine Tables, both in manuscript and in the printed editions (beginning in 1483), as well as in Copernicus’s De Revolutionibus, published in 1543. (shrink)

: This study of the concept of orbit is intended to throw light on the nature of revolutionary concepts in science. We observe that Kepler transformed theoretical astronomy that was understood in terms of orbs [Latin: orbes] (spherical shells to which the planets were attached) and models (called hypotheses at the time), by introducing a single term, orbit [Latin: orbita], that is, the path of a planet in space resulting from the action of physical causes expressed in laws of nature. (...) To demonstrate the claim that orbit is a revolutionary concept we pursue three lines of argument. First we trace the origin of the term; second, we document its development and specify the meaning of the novel term as it was introduced into astronomy by Kepler in his Astronomia nova (1609). Finally, in order to establish in what sense the concept is revolutionary, we pay attention to the enduring impact that the concept has had on the relevant sciences, in this case astronomy and indeed physics. We claim that orbit is an instance of a revolutionary concept whose provenance and use can provide the insights we are seeking. (shrink)

Although Frederick Douglass disclaimed any patriotism or love of the United States in the years when he considered its constitution to be pro-slavery, I argue that he was in fact always a patriot and always a lover of his country. This conclusion leads me to argue further that patriotism is not as expressly political as many philosophers suppose. Patriots love their country despite its politics and often unreasonably, although in loving their country they are concerned with its politics. The greatest (...) among them freely dedicate themselves selflessly to the improvement of their country, partly because they love it, and partly because they are moved to take on great projects. (shrink)

Levi ben Gerson was a medieval astronomer who responded in an unusual way to the Ptolemaic tradition. He significantly modified Ptolemy’s lunar and planetary theories, in part by appealing to physical reasoning. Moreover, he depended on his own observations, with instruments he invented, rather than on observations he found in literary sources. As a result of his close attention to the variation in apparent planetary sizes, a subject entirely absent from the Almagest, he discovered a new phenomenon of Mars and (...) noticed a serious flaw in Ptolemy’s treatment of the Moon. (shrink)

Abraham ibn Ezra d'Espagne (m. 1167) fut l'un des plus importants savants ayant contribué à la transmission de la science arabe à l'Occident. Ses ouvrages en astrologie et en astronomie, rédigés en hébreu puis traduits en latin, étaient considéréd comme faisant autorité par de nombreux savants juifs et Chrétiens. Parmi les ouvrages qu'il a traduits de l'arabe en hébreu, certains sont perdus dans leur langue originale et ses propres ouvrages renferment certaines informations concernant des sources anciennes mal ou pas du (...) tout connues par ailleurs. Ibn Ezra semble être le premier a avoir consigne l'une des sept méthodes pour dresser les maisons astrologiques. Cette méthode avait par la suite été utilisée par Lévi ben Gershom (m. 1344) dans le Midi de la France. (shrink)

A table in five columns for the radii of the Sun, the Moon, and the shadow is included in sets of astronomical tables from the fifteenth to the early seventeenth century, specifically in those by John of Gmunden (d. 1442), Peurbach (d. 1461), the second edition of the Alfonsine Tables (1492), Copernicus (d. 1543), Brahe (d. 1601), and Longomontanus (d. 1647). The arrangement is the same and the entries did not change much, despite many innovations in astronomical theories in this (...) time period. In other words, there is continuity in presentation and, from the point of view of the user of these tables, changes in the theory played no role. In general, the methods for computing the entries are not described and have to be reconstructed. In this paper, we focus on the users of these tables rather than on their compilers, but we refer to modern reconstructions where appropriate. A key issue is the treatment of the size of the Moon during a solar eclipse which was not properly understood by Tycho Brahe. Kepler’s solution and that of his predecessor, Levi ben Gerson (d. 1344), are discussed. (shrink)

The anonymous set of astronomical tables preserved in Paris, Bibliothèque nationale de France, MS lat. 10262, is the first set of displaced tables to be found in a medieval Latin text. These tables are a reworking of the standard Alfonsine tables and yield the same results. However, the mean motions are defined differently, the presentation of the tables is unprecedented, and some new functions are introduced for computing true planetary longitudes. The absence of any instructions as well as unusual technical (...) terms in the headings make it difficult to appreciate the cleverness that went into the construction of these tables that are extant in a unique copy. In this article we provide a detailed analysis of these tables and their underlying parameters. The displaced tables are typical of a pervasive tendency in Islamic science to provide extensive and elegant numerical tables for the convenience of practitioners. The underlying astronomical theory is neither questioned nor affected.Edward S. Kennedy. (shrink)

The Logic of Port-Royal, first published in 1662 by the Jansenists Antoine Arnauld and Pierre Nicole, is a work that underlines the inadequacies of the traditional logic. Traditional logic, which included the texts of Aristotle's Organon and the works of the scholastics, was experiencing a mild renaissance in the seventeenth century following its outright and brutal discrediting by the humanists of the previous two centuries. Arnauld and Nicole introduce a fairly original system of logic that attempts to remedy the shortcomings (...) of the revived tradition; they dismiss the Aristotelian "Categories", "Predicables", and "Topics", ignore the scholastic "Doctrine of Terms and Consequence", and suggest a single "General Principle" by means of which the validity of all arguments can be decided. The Principle is based on a notion of containment, divided into entendue and comprehension , which applies to all terms. Because the notion of containment is linked to the objective reality of Cartesian ideas, the authors can claim that their system of logic properly describes reality. The General Principle also suggests that terminist logic is logically and epistemologically prior to sentential logic because, Arnauld and Nicole claim, it governs the Dictum de Omni et Nullo and the Nota Notae. The self-evidence of the two dicta confirmed the validity of all syllogisms of the first figure; furthermore, all syllogisms of other figures could be reduced to one of the first figure. With the General Principle, however, there is no need for such reduction to the first figure. This additional result makes the theorem of sentential logic, "$\supset$r)$\approx$$\supset$-q)", which was needed for the reductions of Baroco and Bocardo, unnecessary. The fact that no theorem of sentential logic is needed to underline term logic guarantees the autonomy of the latter. (shrink)

In this article, we report the discovery of a new type of astronomical almanac by Joseph Ibn Waqār (Córdoba, fourteenth century) that begins at second station for each of the planets and may have been intended to serve as a template for planetary positions beginning at any dated second station. For background, we discuss the Ptolemaic tradition of treating stations and retrograde motions as well as two tables in Arabic zijes for the anomalistic cycles of the planets in which the (...) planets stay at first and second stations for a period of time (in contrast to the Ptolemaic tradition). Finally, we consider some medieval astrological texts where stations or retrograde motions are invoked. (shrink)