tag:blogger.com,1999:blog-3776650590176552530.post73332065259766406..comments2024-03-26T04:14:09.947-07:00Comments on TeX-nical Stuff: Proclus on Euclidpqnelsonhttp://www.blogger.com/profile/12779680952736168655noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-3776650590176552530.post-57311104891513977092011-11-25T13:41:22.023-08:002011-11-25T13:41:22.023-08:00Cicero and Euclid are different. Said another way,...Cicero and Euclid are different. Said another way, Cicero's six do not equal Euclid's.<br /><br />Take a look at:<br /><br />http://www.thestructureofreason.com/the-gettysburg-address/the-gettysburg-address-demarcated<br /><br />Notice the connection between the Sought, the Specification, and the Conclusion.<br /><br />Then notice the connection between the Given and the Exposition.<br /><br />Then observe how the Given and the Exposition lead to the Construction, setting up the Proof.<br /><br />Just like Euclid.<br /><br /> -David HirschAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3776650590176552530.post-34985928991482406612011-10-27T12:25:38.462-07:002011-10-27T12:25:38.462-07:00Thank you for mentioning our book, Abraham Lincoln...Thank you for mentioning our book, Abraham Lincoln and the Structure of Reason. If you would like more information about the book, including an excerpt, or its author, please check at http://tinyurl.com/243wl3q.<br />Savas Beatie LLC<br />Publisher of Historical Titles of Distinction<br />www.savasbeatie.com<br />http://www.facebook.com/#!/pages/Savas-Beatie-LLC/92556804326Savas Beatiehttp://www.savasbeatie.com/noreply@blogger.comtag:blogger.com,1999:blog-3776650590176552530.post-21708447126581013242011-10-23T16:36:47.631-07:002011-10-23T16:36:47.631-07:00Well, when applied to public speaking of any form,...Well, when applied to public speaking of any form, it does seem quite related to Cicero's 6 components of a speech (exordium, narratio, partitio, confirmatio, refutatio, peroratio).<br /><br />In fact, to play devil's advocate, Lincoln's Gettysburg address seems to be modeled more after Pericles' funeral oration than a geometric proof.<br /><br />Again, continuing as devil's advocate, in modern America I don't believe that a logical argument would hold water when an emotional argument is given (e.g., the whole "death panels" spin in the health care debate). Thoughts?<br /><br />But, being a mathematician, I'm more interested in examining *modern* mathematics in this light.<br /><br />I think tacitly mathematicians do it anyways...but consciously knowing about this pattern enables me to write mathematics better (at least stating theorems and doing proofs)...pqnelsonhttps://www.blogger.com/profile/12779680952736168655noreply@blogger.comtag:blogger.com,1999:blog-3776650590176552530.post-12791821428672734022011-10-23T14:14:04.016-07:002011-10-23T14:14:04.016-07:00> It might be useful if anyone ever
> goes i...> It might be useful if anyone ever<br />> goes into mathematics...or Law...<br /><br />Actually it is useful for anyone who needs to demonstrate or prove *anything*. Selling, persuading, convincing, speaking, writing -- you name it. This technique was nearly lost in the dustbin of history. Turns out, properly used, it is ironclad. In addition to Lincoln, Thomas Jefferson used it at least twice. Isaac Newton used it in The Principia. Anyone can use this technique with practice. It is elegant. Simple but textured.David Hirschhttp://www.thestructureofreason.comnoreply@blogger.com