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Isaac Barrow is largely responsible for that preservation and promulgation of the Euclidean tradition which invigorated the physical science and mathematics of Newton and others, and allowed for an ongoing engagement with classical Greek mathematics. Barrow's philosophy of mathematics remains relevant to many key issues still at the forefront of modern philosophies of mathematics. The tradition of mathematics as a liberal discipline, which is the main topic of this book, reaches back to the educational ideals of Plato and Aristotle, and was brought to an early state of near perfection in the Euclidean school of Greek geometry. Within this framework mathematics is practiced as the means of training and cultivating our formal powers: the intellect and imagination function together to achieve a high degree of familiarity with the geometrical structures, patterns and relations that we find embedded in the world around us. The ultimate goal is liberation of the spirit from exclusive preoccupation with mundane concerns.However, we remain at the same time anchored to a realistic philosophical conception of the world, in which our mathematical notions arise by abstraction from real, objective properties of things outside ourselves. This practice of mathematics as a liberal discipline is exemplified nowhere more completely than in the work of Isaac Barrow. The interplay between these modern philosophies and liberal educational ideals forms a recurrent theme of this book. Separate chapters are devoted to Barrow's development as a translator of Greek mathematics and as a mathematician in his own right; to his contributions to the birth of the infinitesimal calculus; to his conception of geometry as the most fundamental and realistic form of mathematics; to his treatment of physical space and time; and to the philosophical and theological implications of the constructive ideal which lies at the heart of classical geometry. ... Read more

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A comprehensive reevaluation of Isaac Barrow (1630-1677), one of the more prominent and intriguing of all seventeenth-century men of science. Barrow is remembered today--if at all--only as Sir Isaac Newton's mentor and patron, but he in fact made important contributions to the disciplines of optics and geometry. Moreover, he was a prolific and influential preacher as well as a renowned classical scholar.By seeking to understand Barrow's mathematical work, primarily within the confines of the pre-Newtonian scientific framework, the book offers a substantial rethinking of his scientific acumen.In addition to providing a biographical study of Barrow, it explores the intimate connections among his scientific, philological, and religious worldviews in an attempt to convey the complexity of the seventeenth-century culture that gave rise to Isaac Barrow, a breed of polymath that would become increasingly rare with the advent of modern science. ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishings Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Volume: 1General Books publication date: 2009Original publication date: 1859Original Publisher: The University PressSubjects: TheologyReligion / Christianity / AnglicanReligion / Christian Theology / GeneralReligion / Christian Theology / HistoryReligion / Christian Theology / SystematicReligion / TheologyNotes: This is a black and white OCR reprint of the original. It has no illustrations and there may be typos or missing text.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free.Excerpt: SERMON II.UPON THE PASSION OF OUR BLESSED SAVIOUR.Phil. II. 8.And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross.T7"HEN, in consequence of the original apostasy Serm. ' from God, which did banish us from paradise, -- and by continued rebellions against him, inevitable to our corrupt and impotent nature, mankind had forfeited the amity of Goda, (the chief of all goods, the fountain of all happiness,) and had incurredJohn "i. his displeasure; (the greatest of all evils, the foun- coi. ui. 6. dation of all misery:)When poor man having deserted his natural Lord and Protector, Other lords had got dominion l . over him, so that he was captivated by the foul, malicious, cruel spirits, and enslaved to his own vain mind, to vile lusts, to wild passionsb:When, according to an eternal rule of justice, ffen-iv-1 that sin deserveth punishment, and by an express law, wherein death was enacted to the transgressors of God's command, the root of our stock, and consequently all its branches, stood adjudged to utter destruction0:' Cyril, c. Jul. vm. [Opp. Tom. vi. p. 278 A, B. ix. p. 303 B.] b Iren. iii. 33, 34; iii, 8. c Iren. v. 16.Serm. When, according to St Paul's expressions, All the world was become guilty before God,Bom. iii.,9. -, v 0ei£, (or subjected to God's judgment:) All ... ... Read more

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The book has no illustrations or index. It may have numerous typos or missing text. However, purchasers can download a free scanned copy of the original rare book from the publisher's website (GeneralBooksClub.com). You can also preview excerpts of the book there. Purchasers are also entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Volume: 3; Original Publisher: The University Press; Publication date: 1859; Subjects: Theology; Religion / Christianity / Anglican; Religion / Christian Theology / General; Religion / Christian Theology / History; Religion / Christian Theology / Systematic; Religion / Theology; ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:SERMON III.Upon the Paffion of our blefled Saviour.Phil. ii. 8.And being found in fajhion as a man, he humbled him' fdf, and became obedient unto death, even the death of the crofs.WHEN, in confequence of the original apo-sERM. ftafy from God, which did bani(h us from m.paradife, and by continued rebellions againft him, .inevitable to our corrupt and impotent nature, man-Cyrii.c. kind had forfeited the amity of God, (the chief of J £ all goods, the fountain of all happinefs,) and had in-33- curred his difpleafure, (the greateft of all evils, tke$[$;f?' foundation of all mifery ;)When poor man having deferted his natural iren.i. 33, lord and proteftor, other lords had got dominion over if- him, fo that he was captivated by the foul, mali-13. cious, cruel fpirits, and enflaved to his own vainlreiu "' mind, to vile lufts, to wild paffions : .,When, according to an eternal rule of juftice, Gen. Jr. . that fin deferveth puniftiment, and by an exprefs"-17- law, wherein death was enadted to the tranfgrefibrs of God's command, the root of our flock, and con- iren. v. 16. fequently all its branches, ftood adjudged to-utter deftruftion :E 3 When,s E R M. When, according to St. Paul's expreffions, all the iii. world was became guilty before God, (or, fubjedled toGod's judgment:) all men (Jews and Gentiles) wereRom. iii. uuje). j) mjer condemnation, under the curfe; all men vHituat ts were concluded into difobedience, and Jhut up together Rom. iii. 9.(as clole prifoners) under fin; all men had finned, and v.is.ig. come fbort of the glory of God: death had pajj'ed over3-, 1v When for us, being plunged into fo wretched a u!t.u- comijtjon) no vifible remedy did appear, no poffible Gal. in. iz. redrefs could be obtained here below: (for what i- ... ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more