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The Commentary Of Albertus Magnus On Book I Of Euclids Elements Of Geometry
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Book Synopsis The Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry by : Anthony Lo Bello
Download or read book The Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-10-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an annotated English translation of the Commentary of Albertus Magnus on Book I of Euclid's Elements of Geometry. It includes a translation and a critical examination of the mathematical content of the commentary and of its sources.
Book Synopsis The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry by : Anthony Lo Bello
Download or read book The Commentary of al-Nayrizi on Book I of Euclid's Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-10-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than two millennia, the Elements of Geometry by the Greek mathematician Euclid of Alexandria (ca. 300 B.C.E. ) was held to be “the supreme example of the exercise of human reason” and “a paradigm of rational certainty” (from the preface, after Simon Blackburn). The Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry introduces readers to the transmission of Euclid’s Elements from the Middle East to the Latin West in the medieval period and then offers the first English translation of al-Nayrizi’s (d. ca. 922) Arabic commentary on Book I. The Three Volumes are also available as set (ISBN 0 391 04197 5)
Book Synopsis The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry by : Anthony Lo Bello
Download or read book The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2009-04-24 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Commentary of al-Nayrizi (circa 920) on Euclid’s Elements of Geometry occupies an important place both in the history of mathematics and of philosophy, particularly Islamic philosophy. It is a compilation of original work by al-Nayrizi and of translations and commentaries made by others, such as Heron. It is the most influential Arabic mathematical manuscript in existence and a principle vehicle whereby mathematics was reborn in the Latin West. Furthermore, the Commentary on Euclid by the Platonic philosopher Simplicius, entirely reproduced by al-Nayrizi, and nowhere else extant, is essential to the study of the attempt to prove Euclid’s Fifth Postulate from the preceding four. Al-Nayrizi was one of the two main sources from which Albertus Magnus (1193-1280), the Doctor Universalis, learned mathematics. This work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.
Book Synopsis A Companion to Albert the Great by : Irven Resnick
Download or read book A Companion to Albert the Great written by Irven Resnick and published by BRILL. This book was released on 2013-03-27 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert the Great (Albertus Magnus; d. 1280) is one of the most prolific authors of the Middle Ages, and the only scholar to be known as “the Great” during his own lifetime. As the only Scholastic to to have commented upon all the works of Aristotle, Albert is also known as the Universal Doctor (Doctor Universalis) for his encyclopedic intellect, which enabled him to make important contributions not only to Christian theology but also to natural science and philosophy. The contributions to this omnibus volume will introduce students of philosophy, science, and theology to the current state of research and multiple perspectives on the work of Albert the Great. Contributors include Jan A. Aertsen, Henryk Anzulewicz, Benedict M. Ashley, Miguel de Asúa, Steven Baldner, Amos Bertolacci, Thérèse Bonin, Maria Burger, Markus Führer, Dagmar Gottschall, Jeremiah Hackett, Anthony Lo Bello, Isabelle Moulin, Timothy Noone, Mikołaj Olszewski, B.B. Price, Irven M. Resnick, Francisco J. Romero Carrasquillo, H. Darrel Rutkin, Steven C. Snyder, Michael W. Tkacz, Martin J. Tracey, Bruno Tremblay, David Twetten, Rosa E. Vargas and Gilla Wöllmer
Book Synopsis The Development of Mathematics in Medieval Europe by : Menso Folkerts
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Taylor & Francis. This book was released on 2024-10-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Book Synopsis From Alexandria, Through Baghdad by : Nathan Sidoli
Download or read book From Alexandria, Through Baghdad written by Nathan Sidoli and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.
Book Synopsis By Good and Necessary Consequence by : Carlos R. Bovell
Download or read book By Good and Necessary Consequence written by Carlos R. Bovell and published by Wipf and Stock Publishers. This book was released on 2009-06-05 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: By Good and Necessary Consequence presents a critical examination of the reasoning behind the "good and necessary consequence" clause in the Westminster Confession of Faith and makes five observations regarding its suitability for contemporary Reformed and evangelical adherents. 1) In the seventeenth century, religious leaders in every quarter were expected to respond to a thoroughgoing, cultural skepticism. 2) In response to the onslaught of cultural and epistemological skepticism, many looked to mimic as far as possible the deductive methods of mathematicians. 3) The use to which biblicist foundationalism was put by the Westminster divines is at variance with the classical invention, subsequent appropriation, and contemporary estimation of axiomatic and deductive methodology. 4) Although such methodological developments in theology might have seemed natural during the seventeenth century, their epistemological advantage is not evident today. 5) When a believer's faith is epistemologically ordered in a biblicist foundationalist way, once the foundation--the axiomatic use of a veracious scripture--is called into question, the entire faith is in serious danger of crashing down. In a nutshell, Bovell argues that it is not wise to structure the Christian faith in this biblicist foundationalist way, and that it is high time alternate approaches be sought.
Book Synopsis Gerard of Cremona’s Translation of the Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry by : Anthony Lo Bello
Download or read book Gerard of Cremona’s Translation of the Commentary of al-Nayrizi on Book I of Euclid’s Elements of Geometry written by Anthony Lo Bello and published by BRILL. This book was released on 2021-08-04 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an annotated English translation of Gerard of Cremona’s Latin version of Book I of al-Nayrizi's Commentary on Euclid’s Elements. Lo Bello concludes with a critical analysis of the idiosyncrasies of Gerard’s method of translation.
Book Synopsis Dictionary of Theologians by : Jonathan Hill
Download or read book Dictionary of Theologians written by Jonathan Hill and published by James Clarke & Company. This book was released on 2010-03-25 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exhaustive guide to every significant Christian theologian who lived from the first century to 1308, the year in which John Duns Scotus died. The dictionary encompasses the Catholic, Orthodox, Nestorian and Monophysite traditions, including information not previously available in English. Thoroughly indexed, the dictionary incorporates common variants of names and concepts which will help and direct the reader. The main criterion for inclusion has been contribution to the development of Christian theology. Sub-criteria by which that is measured include, above all, originality and influence on later figures. With over 290 entries, the dictionary provides a handy summary of theologiansi lives and writings together with recent scholarship,as well as an up-to-date, definitive bibliography listing primary texts, translations and secondary literature in the major western European languages. Useful for all levels of academia; no other text matches the depth of the dictionaryis bibliographies. The unprecedented thoroughness of Hill's compilation provides an essential resource for studies at all levels on such a large and varied range of Church thinkers.
Book Synopsis Syllogistic Logic and Mathematical Proof by : PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.)
Download or read book Syllogistic Logic and Mathematical Proof written by PROF PAOLO. MUGNAI MANCOSU (PROF MASSIMO.) and published by Oxford University Press. This book was released on 2023-05-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.
Book Synopsis Medieval Science, Technology, and Medicine by : Thomas F. Glick
Download or read book Medieval Science, Technology, and Medicine written by Thomas F. Glick and published by Routledge. This book was released on 2014-01-27 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.
Book Synopsis The Spatial Reformation by : Michael J. Sauter
Download or read book The Spatial Reformation written by Michael J. Sauter and published by University of Pennsylvania Press. This book was released on 2019-01-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Spatial Reformation, Michael J. Sauter offers a sweeping history of the way Europeans conceived of three-dimensional space, including the relationship between Earth and the heavens, between 1350 and 1850. He argues that this "spatial reformation" provoked a reorganization of knowledge in the West that was arguably as important as the religious Reformation. Notably, it had its own sacred text, which proved as central and was as ubiquitously embraced: Euclid's Elements. Aside from the Bible, no other work was so frequently reproduced in the early modern era. According to Sauter, its penetration and suffusion throughout European thought and experience call for a deliberate reconsideration not only of what constitutes the intellectual foundation of the early modern era but also of its temporal range. The Spatial Reformation contends that space is a human construct: that is, it is a concept that arises from the human imagination and gets expressed physically in texts and material objects. Sauter begins his examination by demonstrating how Euclidean geometry, when it was applied fully to the cosmos, estranged God from man, enabling the breakthrough to heliocentrism and, by extension, the discovery of the New World. Subsequent chapters provide detailed analyses of the construction of celestial and terrestrial globes, Albrecht Dürer's engraving Melencolia, the secularization of the natural history of the earth and man, and Hobbes's rejection of Euclid's sense of space and its effect on his political theory. Sauter's exploration culminates in the formation of a new anthropology in the eighteenth century that situated humanity in reference to spaces and places that human eyes had not actually seen. The Spatial Reformation illustrates how these disparate advancements can be viewed as resulting expressly from early modernity's embrace of Euclidean geometry.
Book Synopsis Routledge Revivals: Medieval Science, Technology and Medicine (2006) by : Thomas F. Glick
Download or read book Routledge Revivals: Medieval Science, Technology and Medicine (2006) written by Thomas F. Glick and published by Taylor & Francis. This book was released on 2017-07-05 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005, this encyclopedia demonstrates that the millennium from the fall of the Roman Empire to the Renaissance was a period of great intellectual and practical achievement and innovation. In Europe, the Islamic world, South and East Asia, and the Americas, individuals built on earlier achievements, introduced sometimes radical refinements and laid the foundations for modern development. Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This comprehensive resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. It also looks at the relationship between medieval science and the traditions it supplanted. Written by a select group of international scholars, this reference work will be of great use to scholars, students, and general readers researching topics in many fields, including medieval studies, world history, history of science, history of technology, history of medicine, and cultural studies.
Book Synopsis The A to Z of Medieval Philosophy and Theology by : Stephen F. Brown
Download or read book The A to Z of Medieval Philosophy and Theology written by Stephen F. Brown and published by Rowman & Littlefield. This book was released on 2010 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Middle Ages is often viewed as a period of low intellectual achievement. The name itself refers to the time between the high philosophical and literary accomplishments of the Greco-Roman world and the technological advances that were achieved and philosophical and theological alternatives that were formulated in the modern world that followed. However, having produced such great philosophers as Anselm, Peter Abelard, John Duns Scotus, William of Ockham, Peter Lombard, and the towering Thomas Aquinas, it hardly seems fair to label the medieval period as such. Examining the influence of ancient Greek philosophy as well as of the Arabian and Hebrew scholars who transmitted it, The A to Z of Medieval Philosophy and Theology presents the philosophy of the Christian West from the 9th to the early 17th century. This is accomplished through a chronology, an introduction, appendixes, a bibliography, and hundreds of cross-referenced dictionary entries on the philosophers, concepts, issues, institutions, and events, making this an important reference for the study of the progression of human thought.
Book Synopsis Historical Dictionary of Medieval Philosophy and Theology by : Stephen F. Brown
Download or read book Historical Dictionary of Medieval Philosophy and Theology written by Stephen F. Brown and published by Rowman & Littlefield. This book was released on 2018-08-10 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition concentrates on various philosophers and theologians from the medieval Arabian, Jewish, and Christian worlds. It principally centers on authors such as Abumashar, Saadiah Gaon and Alcuin from the eighth century and follows the intellectual developments of the three traditions up to the fifteenth-century Ibn Khaldun, Hasdai Crescas and Marsilio Ficino. The spiritual journeys presuppose earlier human sources, such as the philosophy of Plato, Aristotle, Plotinus, and Porphyry and various Stoic authors, the revealed teachings of the Jewish Law, the Koran and the Christian Bible. The Fathers of the Church, such as St. Augustine and Gregory the Great, provided examples of theology in their attempts to reconcile revealed truth and man’s philosophical knowledge and deserve attention as pre-medieval contributors to medieval intellectual life. Avicenna and Averroes, Maimonides and Gersonides, St. Thomas Aquinas and St. Bonaventure, stand out in the three traditions as special medieval contributors who deserve more attention. This second edition of Historical Dictionary of Medieval Philosophy and Theology contains a chronology, an introduction, appendixes, and an extensive bibliography. The dictionary section has over 300 cross-referenced entries on important persons, events, and concepts that shaped medieval philosophy and theology. This book is an excellent resource for students, researchers, and anyone wanting to know more about medieval philosophy and theology.
Book Synopsis European Thought and Culture, 1350-1992 by : Michael J. Sauter
Download or read book European Thought and Culture, 1350-1992 written by Michael J. Sauter and published by Routledge. This book was released on 2021-06-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the main currents of European thought between 1350 and 1992, which it approaches in two principal ways: culture as produced by place and the progressive unmooring of thought from previously set religious and philosophical boundaries. The book reads the period against spatial thought’s history (spatial sciences such as geography or Euclidean geometry) to argue that Europe cannot be understood as a continent in intellectual terms or its history organized with respect to traditional spatial-geographic categories. Instead we need to understand European intellectual history in terms of a culture that defined its own place, as opposed to a place that produced a given culture. It then builds on this idea to argue that Europe’s overweening drive to know more about humanity and the cosmos continually breached the boundaries set by venerable religious and philosophical traditions. In this respect, spatial thought foregrounded the human at the unchanging’s expense, with European thought slowly becoming unmoored, as it doggedly produced knowledge at wisdom’s expense. Michael J. Sauter illustrates this by pursuing historical themes across different chapters, including European thought’s exit from the medieval period, the Renaissance, the Reformation, the Scientific Revolution, the Enlightenment and Romanticism, the Industrial Revolution, and war and culture, offering a thorough overview of European thought during this period. The book concludes by explaining how contemporary culture has forgotten what early modern thinkers such as Michel de Montaigne still knew, namely, that too little skepticism toward one’s own certainties makes one a danger to others. Offering a comprehensive introduction to European thought that stretches from the late fourteenth to the late twentieth century, this is the perfect one-volume study for students of European intellectual history.
Book Synopsis Albertus Magnus and the Sciences by : James A. Weisheipl
Download or read book Albertus Magnus and the Sciences written by James A. Weisheipl and published by PIMS. This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
