tag:blogger.com,1999:blog-2433841880619171855.post7811082331556166056..comments2024-07-13T20:30:40.951+01:00Comments on Pat'sBlog: The Difficulties of MathUnknownnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-2433841880619171855.post-86883953775837781512011-03-18T15:02:13.556+00:002011-03-18T15:02:13.556+00:00Sue,
You are correct... De Morgan was well aware ...Sue,<br />You are correct... De Morgan was well aware in his life of the "parallel" question, and even comments in his "budget of Paradoxes"... but the big questions would come after this book was written... Lobachevsky, for instance, was little known before about 1840..Pat's Bloghttps://www.blogger.com/profile/15234744401613958081noreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-28207428618417129622011-03-18T14:51:37.649+00:002011-03-18T14:51:37.649+00:00Not just today, but throughout history, perhaps?
...Not just today, but throughout history, perhaps?<br /><br />I got a chuckle out of his assertion that: Two straight lines which pass through the same two points must either inclose a space, or coincide and be one and the same line, but they cannot inclose a space, therefore they must coincide. <br /><br />I wonder what he'd think of non-Euclidean geometry. The foundations of math have changed quite a bit since deMorgan's time, haven't they?Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.com