Comments on: Note to Leibnitz and Newton… Archimedes beat you both. http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/ The Official Weblog of The Long Now Foundation and Friends Sat, 11 Feb 2012 23:43:00 +0000 hourly 1 http://wordpress.org/?v=3.2.1 By: Mick Costigan http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6346 Mick Costigan Thu, 19 Feb 2009 23:17:30 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6346 This subject was covered in detail by BBC's Horizon back in 2001. Here's the website: http://www.bbc.co.uk/science/horizon/2001/archimedestrans.shtml This subject was covered in detail by BBC’s Horizon back in 2001. Here’s the website:

http://www.bbc.co.uk/science/horizon/2001/archimedestrans.shtml

]]> By: URNMONEY: pounds of penance http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6231 URNMONEY: pounds of penance Mon, 26 Jan 2009 17:58:26 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6231 [...] Archimedes Codex.The entire text is available for free on Google Books(you might needthis). (vialong now) Tags:archimedesissacnewtongottfriedleibnizmathematicscalculusBy [...] [...] Archimedes Codex.The entire text is available for free on Google Books(you might needthis). (vialong now) Tags:archimedesissacnewtongottfriedleibnizmathematicscalculusBy [...]

]]> By: Science Etcetera, Moonday 20090126 | ideonexus.com http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6230 Science Etcetera, Moonday 20090126 | ideonexus.com Mon, 26 Jan 2009 04:54:16 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6230 [...] Did Archimedes beat Newton and Leibnitz to calculus? [...] [...] Did Archimedes beat Newton and Leibnitz to calculus? [...]

]]> By: TobyF http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6212 TobyF Wed, 21 Jan 2009 05:54:51 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6212 The critical contribution of Newton and Leibniz to the Calculus was showing the inverse relationship between differentiation and integration. Fermat had laid out a good deal of this several decades earlier for particular cases like polynomials, but not for general functions. Archimedes' achievements were remarkable, and there's a lot we don't know about his work, but there is no evidence that he was close to this particular realization. The critical contribution of Newton and Leibniz to the Calculus was showing the inverse relationship between differentiation and integration. Fermat had laid out a good deal of this several decades earlier for particular cases like polynomials, but not for general functions. Archimedes’ achievements were remarkable, and there’s a lot we don’t know about his work, but there is no evidence that he was close to this particular realization.

]]> By: Oliver X http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6207 Oliver X Tue, 20 Jan 2009 00:28:20 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6207 It's important to remember that integration is only half of calculus. And inventing differentiation outside the context of Cartesian geometry and (ahem) Newtonian physics was not likely to happen. But there is no doubt that Archimedes pioneered limit theory that underlies both and much else besides. It’s important to remember that integration is only half of calculus. And inventing differentiation outside the context of Cartesian geometry and (ahem) Newtonian physics was not likely to happen. But there is no doubt that Archimedes pioneered limit theory that underlies both and much else besides.

]]> By: Dang…1500 Years Wasted… « Tai-Chi Policy http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6205 Dang…1500 Years Wasted… « Tai-Chi Policy Mon, 19 Jan 2009 17:43:25 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6205 [...] Ancient Greeks, Archimedes, History, Math, Newton, Science and Technology. trackback It turns out Archimedes discovered some of the basic principles of calculus that had to wait until Newton and Leibnitz to be [...] [...] Ancient Greeks, Archimedes, History, Math, Newton, Science and Technology. trackback It turns out Archimedes discovered some of the basic principles of calculus that had to wait until Newton and Leibnitz to be [...]

]]> By: Calculus and the Archimedes Palimpsest : The Computus Engine http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/comment-page-1/#comment-6204 Calculus and the Archimedes Palimpsest : The Computus Engine Mon, 19 Jan 2009 14:50:57 +0000 http://blog.longnow.org/2009/01/19/note-to-leibnitz-and-newton-archimedes-beat-you-both/#comment-6204 [...] via Long Now [...] [...] via Long Now [...]

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