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Episodes in nineteenth and twentieth century Euclidean geometry Ross Honsberger
Publisher: The Mathematical Association of America

Mar 25, 2013 - Meanwhile, there is tension between the universe view and what is surely the principal set-theoretic discovery of the twentieth century, namely, the unexpected but pervasive phenomenon of diverse set-theoretic possibility. Aug 24, 2013 - The Modern Geometry of the Triangle and the Circle by Nathan Altshiller-Court Episodes in Nineteenth and Twentieth Century Euclidean Geometry by Ross Honsberger. Nov 30, 2012 - With the example of Euclid to appeal to, it was indeed treated that way for many centuries. Aug 31, 2007 - Both books were originally issued in the first half of the 20th century and both were aimed at a college level audience. May 7, 2009 - In Euclidean plane geometry, a quadrilateral is a polygon with four sides (or edges) and four vertices or corners. Oct 22, 2013 - Many other episodes of intellectual amnesia among homeopaths could be cited. With the discovery of non-Euclidean geometries in the 1820s, and with increased doubt about the reliability of Kant's method of transcendental proof, the view that truths about space and time are a priori truths began to lose favor. Sep 28, 2010 - In the 20th century, the philosopher of science Bas van Fraassen described time, including physical time, by saying, “There would be no time were there no beings capable of reason” just as “there would be no food were there no organisms, and no . Honsberger, Ross, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, Math. For in the Seventeenth to Nineteenth Centuries, while physicists and astronomers were busily applying to their problems the ancient geometry of Euclid—rendered more handy and more elegant but in no way altered by the new analytical methods of Descartes, Leibniz and Newton—among pure mathematicians a new form of geometry was arising. Both of them Episodes in Nineteenth and Twentieth Century Euclidean Geometry (New Mathematical Library).