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)

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.

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.

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.

Download or read book Leibniz on the Parallel Postulate and the Foundations of Geometry written by Vincenzo De Risi and published by Birkhäuser. This book was released on 2016-01-28 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenth-century studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the non-Euclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of non-Euclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in non-Euclidean geometry.

Download or read book Origins of Mathematical Words written by Anthony Lo Bello and published by JHU Press. This book was released on 2013-12-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive math root dictionary ever published. Outstanding Academic Title, Choice Do you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work. Origins of Mathematical Words supplies definitions for words such as conchoid (a shell-shaped curve derived from the Greek noun for "mussel") and zenith (Arabic for "way overhead"), as well as approximation (from the Latin proximus, meaning "nearest"). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.

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.

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

Download or read book Scale Space and Canon in Ancient Literary Culture written by Reviel Netz and published by Cambridge University Press. This book was released on 2020-02-20 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: Greek culture matters because its unique pluralistic debate shaped modern discourses. This ground-breaking book explains this feature by retelling the history of ancient literary culture through the lenses of canon, space and scale. It proceeds from the invention of the performative 'author' in the archaic symposium through the 'polis of letters' enabled by Athenian democracy and into the Hellenistic era, where one's space mattered and culture became bifurcated between Athens and Alexandria. This duality was reconfigured into an eclectic variety consumed by Roman patrons and predicated on scale, with about a thousand authors active at any given moment. As patronage dried up in the third century CE, scale collapsed and literary culture was reduced to the teaching of a narrower field of authors, paving the way for the Middle Ages. The result is a new history of ancient culture which is sociological, quantitative, and all-encompassing, cutting through eras and genres.

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.

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.

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Distributivity like Results in the Medieval Traditions of Euclid s Elements written by Leo Corry and published by Springer Nature. This book was released on 2021-11-19 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.

Download or read book Alfonso s Rectifying the Curved written by Ruth Glasner and published by Springer Nature. This book was released on 2020-11-26 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry. The book is a mixture of two genres: philosophical discussion and formal, Euclidean-type geometrical writing. A central issue is the use of motion and superposition in geometry, which is analyzed in depth through dialog with earlier Arab mathematicians. The author, Alfonso, was identified by Gita Gluskina (the editor of the 1983 Russian edition) as Alfonso of Valladolid, the converted Jew Abner of Burgos. Alfonso lived in Castile, rather far from the leading cultural centers of his time, but nonetheless at the crossroad of three cultures. He was raised in the Jewish tradition and like many Sephardic Jewish intellectuals was versed in Greek-Arabic philosophy and science. He also had connections with some Christian nobles and towards the end of his life converted to Christianity. Driven by his ambition to solve the problem of the quadrature of the circle, as well as other open geometrical problems, Alfonso acquired surprisingly wide knowledge and became familiar with several episodes in Greek and Arabic geometry that historians usually consider not to have been known in the West in the fourteenth century. Sefer Meyasher 'Aqov reflects his wide and deep erudition in mathematics and philosophy, and provides new evidence on cultural transmission around the Mediterranean.

Download or read book The Role of the Arab Islamic World in the Rise of the West written by Nayef R.F. Al-Rodhan and published by Springer. This book was released on 2012-08-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a fascinating look at the role of the Arab-Islamic world in the rise of the West. It examines the cultural transmission of ideas and institutions in a number of key areas, including science, philosophy, humanism, law, finance, commerce, as well as the Arab-Islamic world's overall impact on the Reformation and the Renaissance.

Download or read book The Making of Mathematics written by Carlo Cellucci and published by Springer Nature. This book was released on 2022-03-07 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.

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 625 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.