A Commentary on the First Book of Euclid's Elements

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Author: Proclus

Publisher: Princeton University Press

ISBN: 9780691020907

Category: Mathematics

Page: 355

View: 3639

In Proclus' penetrating exposition of Euclid's method's and principles, the only one of its kind extant, we are afforded a unique vantage point for understanding the structure and strenght of the Euclidean system. A primary source for the history and philosophy of mathematics, Proclus' treatise contains much priceless information about the mathematics and mathematicians of the previous seven or eight centuries that has not been preserved elsewhere.

Proclus' Commentary on Plato's Parmenides

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Author: Proclus

Publisher: Princeton University Press

ISBN: 9780691020891

Category: Philosophy

Page: 616

View: 5624

This is the first English translation of Proclus' commentary on Plato's Parmenides. Glenn Morrow's death occurred while he was less than halfway through the translation, which was completed by John Dillon. A major work of the great Neoplatonist philosopher, the commentary is an intellectual tour de force that greatly influenced later medieval and Renaissance thought. As the notes and introductory summaries explain, it comprises a full account of Proclus' own metaphysical system, disguised, as is so much Neoplatonic philosophy, in the form of a commentary.

The Commentary of Al-Nayrizi on Books II-IV of Euclid's Elements of Geometry

With a Translation of that Portion of Book I Missing from Ms Leiden Or. 399.1 But Present in the Newly Discovered Qom Manuscript Edited by Rèudiger Arnzen

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Author: Anaritius,Anthony Lo Bello

Publisher: BRILL

ISBN: 9004173897

Category: Philosophy

Page: 215

View: 9502

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.

The Commentary of al-Nayrizi on Books II-IV of Euclid's Elements of Geometry

With a Translation of That Portion of Book I Missing from MS Leiden Or. 399.1 but Present in the Newly Discovered Qom Manuscript Edited by Rüdiger Arnzen

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Author: Anthony Lo Bello

Publisher: BRILL

ISBN: 9047444418

Category: Philosophy

Page: 248

View: 9528

The Commentary of al-Nayrizi (circa 920) on Euclid’s Elements occupies an important place in the history of mathematics and of philosophy. The present work presents an annotated English translation of Books II-IV and of a hitherto lost portion of Book I.

From Discrete to Continuous

The Broadening of Number Concepts in Early Modern England

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Author: K. Neal

Publisher: Springer Science & Business Media

ISBN: 940170077X

Category: Mathematics

Page: 175

View: 3432

In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways. This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.

Proceedings of the Boston Area Colloquium in Ancient Philosophy

Volume XVIII, 2002

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Author: John J. Cleary,Gary M. Gurtler

Publisher: BRILL

ISBN: 9789004131934

Category: Philosophy

Page: 332

View: 9534

This latest BACAP Proceedings covers three key areas in ancient philosophy, ethics, method and physics. Under ethics, there are three papers on Socratic piety, Aristotelian friendship, and Augustinian-Platonic virtue. Under method, Socratic elenchos, Socratic maieutic, and Aristotelian aporematic inquiry. Under physics, life in Plato and mo

The Irrationals

A Story of the Numbers You Can’t Count On

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Author: Julian Havil

Publisher: Princeton University Press

ISBN: 1400841704

Category: Mathematics

Page: 312

View: 8913

The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

The First Book of Euclid's Elements

With a Commentary Based Principally Upon that of Proclus Diadochus

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Author: Euclid,Proclus

Publisher: N.A

ISBN: N.A

Category: Euclid's Elements

Page: 139

View: 5231

New Perspectives on Galileo

Papers Deriving from and Related to a Workshop on Galileo held at Virginia Polytechnic Institute and State University, 1975

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Author: Robert E. Butts,Joseph C. Pitt

Publisher: Springer Science & Business Media

ISBN: 940099799X

Category: Science

Page: 264

View: 5516

The essays in this volume (except for the contribution of Dr. Le Grand) are extremely revised versions of papers originally delivered at a workshop on Galileo held in Blacksburg, Virginia in October, 1975. The meeting was organized by Professor Joseph Pitt and sponsored by the Department of Philosophy and Religion, The College of Arts and Sciences, and the Division of Research of Virginia Polytechnic Institute and State University. The papers that follow deal with problems OIf Galileo's philosophy of science, specific and general problems connected with his methodology, and with historical and conceptual questions concerning the relationship of his work to that of contemporaries and both earlier and later scientists. New perspectives take many forms. In this book the 'newness' has, for the most part, two forms. First, in the papers by Wisan, Shea, Le Grand and Wallace (the concerns will also appear in some of the other contributions), greatly enriched historical discoveries of how Galileo's science and its method ology developed are provided. It should be stressed that these papers are attempts to recapture a deep sense of the kind of science Galileo was creating. Other papers in the volume, for example, those by McMullin, Machamer, Butts and Pitt, underscore the importance of this historical venture by discussing various aspects of the philosophical background of Galileo's thought. The historical and philosophical evaluations and analyses compliment one another.

The Greek Qabalah

Alphabetical Mysticism and Numerology in the Ancient World

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Author: Kieren Barry

Publisher: Weiser Books

ISBN: 1609252276

Category: Religion

Page: 312

View: 6970

This book will be of interest to a wide range of readers, from students of Ancient History and early Christianity, to Qabalists and modern magicians. Extensive notes and citations from original sources will make this authoritative work an essential reference for researchers and practitioners for years to come. Includes are appendices for tables of alphabetic symbolism, a list of authors, and a numeric dictionary of Greek words, which represents the largest collection of gematria in print.

Proclus

An Introduction

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Author: Radek Chlup

Publisher: Cambridge University Press

ISBN: 0521761484

Category: History

Page: 328

View: 9516

An introduction to the philosophical and religious thought of Proclus the Neoplatonist, one of the most complex thinkers of antiquity.

Alhacen's Theory of Visual Perception

A Critical Edition, with English Translation and Commentary, of the First Three Books of Alhacen's De Aspectibus, the Medieval Latin Version of Ibn Al-Haytham's Kitab Al-Manazir

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Author: Alhazen,A. Mark Smith

Publisher: N.A

ISBN: 9780871699145

Category: Optics

Page: 819

View: 4019

A History of Mathematics

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Author: Jeff Suzuki

Publisher: Pearson College Division

ISBN: N.A

Category: Mathematics

Page: 815

View: 6865

Blending relevant mathematics and history, this book immerses readers in the full, rich detail of mathematics. It provides a description of mathematics and shows how mathematics was actually practiced throughout the millennia by past civilizations and great mathematicians alike. As a result, readers gain a better understanding of why mathematics developed the way it did. Chapter topics include Egyptian Mathematics, Babylonian Mathematics, Greek Arithmetic, Pre-Euclidean Geometry, Euclid, Archimedes and Apollonius, Roman Era, China and India, The Arab World, Medieval Europe, Renaissance, The Era of Descartes and Fermat, The Era of Newton and Leibniz, Probability and Statistics, Analysis, Algebra, Number Theory, the Revolutionary Era, The Age of Gauss, Analysis to Mid-Century, Geometry, Analysis After Mid-Century, Algebras, and the Twentieth Century. For teachers of mathematics.

Proclus

neo-platonic philosophy and science

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Author: Lucas Siorvanes

Publisher: N.A

ISBN: N.A

Category: Philosophy

Page: 336

View: 4693