What the Middle Ages Knew IV
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Projectile Motion Acc
PHY1033C/HIS3931/IDH 3931 : Discovering Physics: The Universe and Humanity’s Place in It Fall 2016 Prof. Peter Hirschfeld, Physics Announcements • HW 1 due today; HW 2 posted, due Sept. 13 • Lab 1 today 2nd hour • Reading: Gregory Chs. 2,3 Wertheim (coursepack), Lindberg (coursepack) • HW/office hours 10:40 M,T, 11:45 W email/call to make appt. if these are bad Last time Improvements to Aristotle/Eudoxus Appolonius of Perga (~20 -190 BCE) : proposed: 1) eccentric orbits (planet goes in circle at const. speed, but Earth was off center) 2) epicycles (planet moves on own circle [epicycle] around a point that travels in another circle [deferent] around E. His model explained • variation in brightness of planets • changes in angular speed Ptolemy (AD 100 – c. 170): Almagest summarized ancient ideas about solar system. He himself proposed “equant point”: eccentric point about which planet moved with constant angular speed. Not true uniform circular motion, but explained data better. Ptolemaic universe (Equant point suppressed) • Note: this picture puts planets at a distance relative to Earth corresponding to our modern knowledge, but Ptolemaic system did not predict order of planets (or care!) • Exception: inner planets had to have orbits that kept them between Earth and Sun • Why epicycles? Not asked. Clicker quickies Q1: Ptolemy’s model explained retrograde motion of the planets. This means that A. Some planets moved clockwise while others moved counterclockwise along their orbits B. Some planets moved outside the plane of the ecliptic C. Some planets were observed to stop in the sky, move apparently backwards along their path, forward again D. -
The Logic of Where and While in the 13Th and 14Th Centuries
The Logic of Where and While in the 13th and 14th Centuries Sara L. Uckelman Department of Philosophy, Durham University Abstract Medieval analyses of molecular propositions include many non-truthfunctional con- nectives in addition to the standard modern binary connectives (conjunction, dis- junction, and conditional). Two types of non-truthfunctional molecular propositions considered by a number of 13th- and 14th-century authors are temporal and local propositions, which combine atomic propositions with ‘while’ and ‘where’. Despite modern interest in the historical roots of temporal and tense logic, medieval analy- ses of ‘while’ propositions are rarely discussed in modern literature, and analyses of ‘where’ propositions are almost completely overlooked. In this paper we introduce 13th- and 14th-century views on temporal and local propositions, and connect the medieval theories with modern temporal and spatial counterparts. Keywords: Jean Buridan, Lambert of Auxerre, local propositions, Roger Bacon, temporal propositions, Walter Burley, William of Ockham 1 Introduction Modern propositional logicians are familiar with three kinds of compound propositions: Conjunctions, disjunctions, and conditionals. Thirteenth-century logicians were more liberal, admitting variously five, six, seven, or more types of compound propositions. In the middle of the 13th century, Lambert of Auxerre 1 in his Logic identified six types of ‘hypothetical’ (i.e., compound, as opposed to atomic ‘categorical’, i.e., subject-predicate, propositions) propo- sitions: the three familiar ones, plus causal, local, and temporal propositions [17, 99]. Another mid-13th century treatise, Roger Bacon’s Art and Science of Logic¶ , lists these six and adds expletive propositions (those which use the connective ‘however’), and other ones not explicitly classified such as “Socrates 1 The identity of the author of this text is not known for certain. -
Jean Buridan Qui a Étudié Les Arts Libéraux S’Est Intéressé Aux Dis- Cussions Sur Le Modèle De L’Univers Et Sur La Théorie Du Mouvement D’Aristote
Jean Buridan qui a étudié les arts libéraux s’est intéressé aux dis- cussions sur le modèle de l’univers et sur la théorie du mouvement d’Aristote. Il a redécouvert et diffusé la théorie de l’impetus. Éla- borée à Alexandrie, cette théorie visait à combler une lacune de la théorie du mouvement d’Aristote. Jean Buridan 1295-1358 Jean Buridan Discussion du géocentrisme Si la terre reste toujours immobile au Jean Buridan est né à Béthune au Pas de centre du monde; ou non ... [et] si, en Calais, en 1295 et est mort vers 1358. supposant que la terre est en mouve- Il étudie à l’université de Paris où il est ment de rotation autour de son cen- un disciple de Guillaume d’Occam. Tra- tre et de ses propres pôles, tous les phé- ditionnellement, pour se préparer à une nomènes que nous observons peuvent carrière en philosophie, les aspirants étu- être sauvés? dient la théologie. Buridan choisit d’étu- dier les arts libéraux (voir encadré) plu- Peut-on, en considérant que la Terre est tôt que la théologie et il préserve son in- en rotation sur elle-même, expliquer dépendance en demeurant clerc séculier tous les phénomènes que nous obser- plutôt qu’en se joignant à un ordre reli- vons ? Buridan donne une série d’argu- gieux. ments en accord avec la rotation de la Buridan enseigne la philosophie à Pa- Terre et une autre série à l’encontre de ris et est élu recteur de Angleterre Calais Belgique cette hypothèse. Il écrit : Lille Allemagne l’Université en 1328 et en Béthune Il est vrai, sans aucun doute, que si la 1340. -
Theories of Truth. Bibliography on Primary Medieval Authors
Theories of Truth. Bibliography on Primary Medieval Authors https://www.ontology.co/biblio/truth-medieval-authors.htm Theory and History of Ontology by Raul Corazzon | e-mail: [email protected] History of Truth. Selected Bibliography on Medieval Primary Authors The Authors to which I will devote an entire page are marked with an asterisk (*). Hilary of Poitiers Augustine of Hippo (*) Boethius (*) Isidore of Seville John Scottus Eriugena (*) Isaac Israeli Avicenna (*) Anselm of Canterbury (*) Peter Abelard (*) Philip the Chancellor Robert Grosseteste William of Auvergne Albert the Great Bonaventure Thomas Aquinas (*) Henry of Ghent Siger of Brabant John Duns Scotus (*) Hervaeus Natalis Giles of Rome Durandus of St. Pourçain Peter Auriol Walter Burley William of Ockham (*) Robert Holkot John Buridan (*) 1 di 14 22/09/2016 09:25 Theories of Truth. Bibliography on Primary Medieval Authors https://www.ontology.co/biblio/truth-medieval-authors.htm Gregory of Rimini William of Heytesbury Peter of Mantua Paul of Venice Hilary of Poitiers (ca. 300 - 368) Texts 1. Meijering, E.P. 1982. Hilary of Poitiers on the Trinity. De Trinitate 1, 1-19, 2, 3. Leiden: Brill. In close cooperation with J. C. M: van Winden. On truth see I, 1-14. Studies Augustine of Hippo ( 354 - 430) Texts Studies 1. Boyer, Charles. 1921. L'idée De Vérité Dans La Philosophie De Saint Augustin. Paris: Gabriel Beauchesne. 2. Kuntz, Paul G. 1982. "St. Augustine's Quest for Truth: The Adequacy of a Christian Philosophy." Augustinian Studies no. 13:1-21. 3. Vilalobos, José. 1982. Ser Y Verdad En Agustín De Hipona. Sevilla: Publicaciones de la Universidad de Sevilla. -
The Prolongation of Life in Early Modern English Literature and Culture, with Emphasis on Francis Bacon
THE PROLONGATION OF LIFE IN EARLY MODERN ENGLISH LITERATURE AND CULTURE, WITH EMPHASIS ON FRANCIS BACON ROGER MARCUS JACKSON A dissertation submitted to the faculty of the University of North Carolina at Chapel Hill in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of English and Comparative Literature. Chapel Hill 2010 Approved by: Dr. Reid Barbour Dr. Mary Floyd-Wilson Dr. Darryl Gless Dr. James O‘Hara Dr. Jessica Wolfe ©2010 Roger Marcus Jackson ALL RIGHTS RESERVED ii ABSTRACT ROGER MARCUS JACKSON: The Prolongation of Life in Early Modern English Literature and Culture (Under the direction of Reid Barbour) Drawing upon early modern texts of poetry, theology, and natural philosophy written in England and the continent, this dissertation explores the intellectual traditions inherent in Renaissance discourses addressing the prolongation of life. It is organized around two nodal questions: Can life be prolonged? Should it be prolonged? The project hinges upon Francis Bacon (1561-1626), for whom the prolongation of life in the sense of a longer human lifespan serves as the loftiest goal of modern experimental science. Addressing the first question, Part One illustrates the texture and diversity of early modern theories of senescence and medical treatments against the ―disease‖ of old age promoted by Galen, Avicenna, medieval theologians, Jean Fernel, Marsilio Ficino, and Paracelsus. Part Two then demonstrates that Bacon‘s theory of senescence and corresponding therapies nevertheless differ from those of his predecessors and contemporaries in three regards: their attempt to isolate senescence from disease, their postulation of senescence as a process based on universal structures and actions of matter, and their deferral to further experiment for elucidation. -
Phoronomy: Space, Construction, and Mathematizing Motion Marius Stan
To appear in Bennett McNulty (ed.), Kant’s Metaphysical Foundations of Natural Science: A Critical Guide. Cambridge University Press. Phoronomy: space, construction, and mathematizing motion Marius Stan With his chapter, Phoronomy, Kant defies even the seasoned interpreter of his philosophy of physics.1 Exegetes have given it little attention, and un- derstandably so: his aims are opaque, his turns in argument little motivated, and his context mysterious, which makes his project there look alienating. I seek to illuminate here some of the darker corners in that chapter. Specifi- cally, I aim to clarify three notions in it: his concepts of velocity, of compo- site motion, and of the construction required to compose motions. I defend three theses about Kant. 1) his choice of velocity concept is ul- timately insufficient. 2) he sided with the rationalist faction in the early- modern debate on directed quantities. 3) it remains an open question if his algebra of motion is a priori, though he believed it was. I begin in § 1 by explaining Kant’s notion of phoronomy and its argu- ment structure in his chapter. In § 2, I present four pictures of velocity cur- rent in Kant’s century, and I assess the one he chose. My § 3 is in three parts: a historical account of why algebra of motion became a topic of early modern debate; a synopsis of the two sides that emerged then; and a brief account of his contribution to the debate. Finally, § 4 assesses how general his account of composite motion is, and if it counts as a priori knowledge. -
Page 210 H-France Review Vol. 8 (March 2008), No. 52 Roland J
H-France Review Volume 8 (2008) Page 210 H-France Review Vol. 8 (March 2008), No. 52 Roland J. Teske, Studies in the Philosophy of William of Auvergne, Bishop of Paris (1228-1249). Milwaukee: Marquette University Press, 2006. 274 pp. Table, introduction, notes, bibliography, and indexes. $30.00 U.S. (pb). ISBN 0-87462-674-9. Review by Steven P. Marrone, Tufts University. William of Auvergne, master of theology at the University of Paris and bishop of that city from 1228 until his death in 1249, was one of the most prominent Latin theologians of his day, recognized for his intellectual import throughout much of the rest of the thirteenth century. Yet the modern historiography of scholastic thought has paid him relatively little attention. The only book devoted to the entirety of his thinking, a three-volume study by Amato Masnovo, appeared well over half a century ago.[1] With the new work under review here, gathering together thirteen essays on aspects of William’s philosophy originally published between 1990 and 2003, Roland Teske goes a long way towards redressing the balance. In the name of full disclosure, I should admit that as an author of two books in which William’s speculative achievements play a major role, I cannot be considered an impartial witness to Teske’s effort.[2] All the same, I believe that anyone who reads Teske’s book will come away convinced that William deserves just the sort of probing and sustained examination Teske has given him. For the sake of our accurate appreciation of the historical trajectory of thirteenth-century scholasticism, I hope the book has many readers. -
Strategies of Sanity and Survival Religious Responses to Natural Disasters in the Middle Ages
jussi hanska Strategies of Sanity and Survival Religious Responses to Natural Disasters in the Middle Ages Studia Fennica Historica The Finnish Literature Society (SKS) was founded in 1831 and has, from the very beginning, engaged in publishing operations. It nowadays publishes literature in the fields of ethnology and folkloristics, linguistics, literary research and cultural history. The first volume of the Studia Fennica series appeared in 1933. Since 1992, the series has been divided into three thematic subseries: Ethnologica, Folkloristica and Linguistica. Two additional subseries were formed in 2002, Historica and Litteraria. The subseries Anthropologica was formed in 2007. In addition to its publishing activities, the Finnish Literature Society maintains research activities and infrastructures, an archive containing folklore and literary collections, a research library and promotes Finnish literature abroad. Studia fennica editorial board Anna-Leena Siikala Rauno Endén Teppo Korhonen Pentti Leino Auli Viikari Kristiina Näyhö Editorial Office SKS P.O. Box 259 FI-00171 Helsinki www.finlit.fi Jussi Hanska Strategies of Sanity and Survival Religious Responses to Natural Disasters in the Middle Ages Finnish Literature Society · Helsinki Studia Fennica Historica 2 The publication has undergone a peer review. The open access publication of this volume has received part funding via a Jane and Aatos Erkko Foundation grant. © 2002 Jussi Hanska and SKS License CC-BY-NC-ND 4.0. International A digital edition of a printed book first published in 2002 by the Finnish Literature Society. Cover Design: Timo Numminen EPUB Conversion: eLibris Media Oy ISBN 978-951-746-357-7 (Print) ISBN 978-952-222-818-5 (PDF) ISBN 978-952-222-819-2 (EPUB) ISSN 0085-6835 (Studia Fennica) ISSN 0355-8924 (Studia Fennica Historica) DOI: http://dx.doi.org/10.21435/sfh.2 This work is licensed under a Creative Commons CC-BY-NC-ND 4.0. -
Early Modern Philosophy of Technology: Bacon and Descartes
Early Modern Philosophy of Technology: Bacon and Descartes By Robert Arnăutu Submitted to Central European University Department of Philosophy In partial fulfilment of the requirements for the degree of Doctor of Philosophy in Philosophy Supervisor: Professor Hanoch Ben-Yami CEU eTD Collection Budapest, Hungary 2013 Copyright notice I hereby declare that this dissertation contains no materials accepted for any other degrees in any other institutions of higher education. Also, I declare that this dissertation contains no material previously written and/or published by any other person, except where appropriate acknowledgement has been made in the form of bibliographic reference. Robert Arnăutu June 2013 CEU eTD Collection i Abstract The contemporary understanding of technology is indebted to Bacon and Descartes, who challenged the pre-modern conceptions regarding useful material production. Although the production of artefacts has been a constant activity of humans since the dawn of history, the Ancient world tended to disvalue it, considering it a lower endeavour that aims to satisfy ignoble material needs. Technology, according to Ancient Greek thinkers, cannot surpass nature but can only bring small improvements to it; moreover, there is a difference in kind between natural things and technological artefacts; the activity of inventing and producing useful objects is unsuited for the nobility and for free men; there is an irreducible gap between proper knowledge and the production of artefacts. This approach toward technology is completely -
The Etienne Gilson Series 21
The Etienne Gilson Series 21 Remapping Scholasticism by MARCIA L. COLISH 3 March 2000 Pontifical Institute of Mediaeval Studies This lecture and its publication was made possible through the generous bequest of the late Charles J. Sullivan (1914-1999) Note: the author may be contacted at: Department of History Oberlin College Oberlin OH USA 44074 ISSN 0-708-319X ISBN 0-88844-721-3 © 2000 by Pontifical Institute of Mediaeval Studies 59 Queen’s Park Crescent East Toronto, Ontario, Canada M5S 2C4 Printed in Canada nce upon a time there were two competing story-lines for medieval intellectual history, each writing a major role for scholasticism into its script. Although these story-lines were O created independently and reflected different concerns, they sometimes overlapped and gave each other aid and comfort. Both exerted considerable influence on the way historians of medieval speculative thought conceptualized their subject in the first half of the twentieth cen- tury. Both versions of the map drawn by these two sets of cartographers illustrated what Wallace K. Ferguson later described as “the revolt of the medievalists.”1 One was confined largely to the academy and appealed to a wide variety of medievalists, while the other had a somewhat narrower draw and reflected political and confessional, as well as academic, concerns. The first was the anti-Burckhardtian effort to push Renaissance humanism, understood as combining a knowledge and love of the classics with “the discovery of the world and of man,” back into the Middle Ages. The second was inspired by the neo-Thomist revival launched by Pope Leo XIII, and was inhabited almost exclusively by Roman Catholic scholars. -
Descartes' Optics
Descartes’ Optics Jeffrey K. McDonough Descartes’ work on optics spanned his entire career and represents a fascinating area of inquiry. His interest in the study of light is already on display in an intriguing study of refraction from his early notebook, known as the Cogitationes privatae, dating from 1619 to 1621 (AT X 242-3). Optics figures centrally in Descartes’ The World, or Treatise on Light, written between 1629 and 1633, as well as, of course, in his Dioptrics published in 1637. It also, however, plays important roles in the three essays published together with the Dioptrics, namely, the Discourse on Method, the Geometry, and the Meteorology, and many of Descartes’ conclusions concerning light from these earlier works persist with little substantive modification into the Principles of Philosophy published in 1644. In what follows, we will look in a brief and general way at Descartes’ understanding of light, his derivations of the two central laws of geometrical optics, and a sampling of the optical phenomena he sought to explain. We will conclude by noting a few of the many ways in which Descartes’ efforts in optics prompted – both through agreement and dissent – further developments in the history of optics. Descartes was a famously systematic philosopher and his thinking about optics is deeply enmeshed with his more general mechanistic physics and cosmology. In the sixth chapter of The Treatise on Light, he asks his readers to imagine a new world “very easy to know, but nevertheless similar to ours” consisting of an indefinite space filled everywhere with “real, perfectly solid” matter, divisible “into as many parts and shapes as we can imagine” (AT XI ix; G 21, fn 40) (AT XI 33-34; G 22-23). -
Agrarian Metaphors 397
396 Agrarian Metaphors 397 The Bible provided homilists with a rich store of "agricultural" metaphors and symbols) The loci classici are passages like Isaiah's "Song of the Vineyard" (Is. 5:1-7), Ezekiel's allegories of the Tree (Ez. 15,17,19:10-14,31) and christ's parables of the Sower (Matt. 13: 3-23, Mark 4:3-20, Luke 8:5-15) ,2 the Good Seed (Matt. 13:24-30, Mark 4:26-29) , the Barren Fig-tree (Luke 13:6-9) , the Labourers in the Vineyard (Matt. 21:33-44, Mark 12:1-11, Luke 20:9-18), and the Mustard Seed (Matt. 13:31-32, Mark 4:30-32, Luke 13:18-19). Commonplace in Scripture, however, are comparisons of God to a gardener or farmer,5 6 of man to a plant or tree, of his soul to a garden, 7and of his works to "fruits of the spirit". 8 Man is called the "husbandry" of God (1 Cor. 3:6-9), and the final doom which awaits him is depicted as a harvest in which the wheat of the blessed will be gathered into God's storehouse and the chaff of the damned cast into eternal fire. Medieval scriptural commentaries and spiritual handbooks helped to standardize the interpretation of such figures and to impress them on the memories of preachers (and their congregations). The allegorical exposition of the res rustica presented in Rabanus Maurus' De Universo (XIX, cap.l, "De cultura agrorum") is a distillation of typical readings: Spiritaliter ... in Scripturis sacris agricultura corda credentium intelliguntur, in quibus fructus virtutuxn germinant: unde Apostolus ad credentes ait [1 Cor.