Books about Exactness from Amazon.com

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..
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This digital document is an article from The Review of Metaphysics, published by Philosophy Education Society, Inc. on September 1, 1995. The length of the article is 599 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Aristotle on the Goals and Exactness of Ethics.
Author: Lloyd P. Gerson
Publication:The Review of Metaphysics (Refereed)
Date: September 1, 1995
Publisher: Philosophy Education Society, Inc.
Volume: v49 Issue: n1 Page: p118(2)

Article Type: Book Review

Distributed by Thomson Gale.
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The Practice Of En Punto requires a pure heart that can only be the result of coming into covenant with God on God's terms..
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The entries cover all parts of speech (noun, verb, adverb or adjective usage) as well as use in modern slang, pop culture, 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 many unexpected examples for exactness, since the editorial decision to include or exclude terms 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. Proceeds from this book are used to expand the content and coverage of Webster's Online Dictionary (www.websters-online-dictionary.org)..
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