This book is a facsimile reprint and may contain imperfections such as marks, notations, marginalia and flawed pages.

In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.

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.

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.
The eighteenth-century fascination with Greek and Roman antiquity followed the systematic excavation of the ruins at Pompeii and Herculaneum in southern Italy; and after 1750 a neoclassical style dominated all artistic fields. The titles here trace developments in mostly English-language works on painting, sculpture, architecture, music, theater, and other disciplines. Instructional works on musical instruments, catalogs of art objects, comic operas, and more are also included.
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The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:
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Huntington Library

N016443



London : printed for J. Peele, 1732. 70,[2]p. : ill. ; 8°

Philosophers as diverse as Socrates, Plato, Spinoza, and Rawls have sometimes argued that ethics can be an exact discipline whose propositions can match the exactness we associate with mathematics. Yet for Aristotle, knowledge of ethical matters is essentially inexact, and his perceptive criticisms of the Socratic-Platonic ideal of ethical knowledge and its metaphysical presuppositions remain of enduring interest to contemporary moral theorists.
Georgios Anagnostopoulos offers the most systematic and comprehensive critical examination to date of Aristotle's views on the exactness of ethics. Combining rigorous philosophical argument and close analysis of the philosopher's treatises on human conduct, he gives form to Aristotle's belief that knowledge of matters of conduct, not unlike knowledge of most natural phenomena, can never be free of certain kinds of inexactness. He concludes that according to Aristotle, ethics constitutes a mode of knowledge that is neither totally nondemonstrative on account of its inexactness nor free of the important epistemological difficulties common to all nonmathematical disciplines.

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.
The eighteenth-century fascination with Greek and Roman antiquity followed the systematic excavation of the ruins at Pompeii and Herculaneum in southern Italy; and after 1750 a neoclassical style dominated all artistic fields. The titles here trace developments in mostly English-language works on painting, sculpture, architecture, music, theater, and other disciplines. Instructional works on musical instruments, catalogs of art objects, comic operas, and more are also included.
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The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:
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British Library

T142293

With an index.

London : printed for J. Peele, 1732. 70,[2]p. : ill. ; 8°

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.
The eighteenth-century fascination with Greek and Roman antiquity followed the systematic excavation of the ruins at Pompeii and Herculaneum in southern Italy; and after 1750 a neoclassical style dominated all artistic fields. The titles here trace developments in mostly English-language works on painting, sculpture, architecture, music, theater, and other disciplines. Instructional works on musical instruments, catalogs of art objects, comic operas, and more are also included.
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The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:
++++
British Library

N016444



London : printed for J. Peele, 1735. [4],68,[2]p. ; 8°

Webster's bibliographic and event-based timelines are comprehensive in scope, covering virtually all topics, geographic locations and people. They do so from a linguistic point of view, and in the case of this book, the focus is on "Exactness," including when used in literature (e.g. all authors that might have Exactness in their name). As such, this book represents the largest compilation of timeline events associated with Exactness when it is used in proper noun form. Webster's timelines cover bibliographic citations, patented inventions, as well as non-conventional and alternative meanings which capture ambiguities in usage. These furthermore cover all parts of speech (possessive, institutional usage, geographic usage) and contexts, including pop culture, the arts, social sciences (linguistics, history, geography, economics, sociology, political science), business, computer science, literature, law, medicine, psychology, mathematics, chemistry, physics, biology and other physical sciences. This "data dump" results in a comprehensive set of entries for a bibliographic and/or event-based timeline on the proper name Exactness, since editorial decisions to include or exclude events is purely a linguistic process. The resulting entries are used under license or with permission, used under "fair use" conditions, used in agreement with the original authors, or are in the public domain.

The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.
The Age of Enlightenment profoundly enriched religious and philosophical understanding and continues to influence present-day thinking. Works collected here include masterpieces by David Hume, Immanuel Kant, and Jean-Jacques Rousseau, as well as religious sermons and moral debates on the issues of the day, such as the slave trade. The Age of Reason saw conflict between Protestantism and Catholicism transformed into one between faith and logic -- a debate that continues in the twenty-first century.
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The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:
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British Library

T066328

The author is identified in the dedication as Pierre Nicole, with Antoine Arnauld as reviser. With two final advertisement leaves.

London : printed for William Taylor, 1723. [12],215,240-440,[4]p.,plate ; 12°

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.