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Post Ap3MoZYHFMzxnKYToW by [email protected] |
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More posts by [email protected] |
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Post #Ap2uJNMBjx82HMEjOi by [email protected] |
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Some people think medieval astronomers kept adding 'epicycles' to the o… |
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Post #Ap2uZ6sUmBIbntqncO by [email protected] |
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@johncarlosbaez John Von Neumann: "With four parameters I can fit an eleph… |
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Post #Ap2ugbqo1DF5tJdW2i by [email protected] |
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@johncarlosbaez I'd love to see references where I can verify either claim! |
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Post #Ap2v1zos69a6JIvh7g by [email protected] |
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@johncarlosbaez Another misconception I warn my students about is that Copernic… |
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Post #Ap2v540oxy2CBNyv7w by [email protected] |
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@pglpm - I'll add references. |
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Post #Ap2v5X54tDfeKzCEHw by [email protected] |
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@johncarlosbaez Ptolemy was essentially using Fourier series 1500 years before … |
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Post #Ap2vcxCUnYkau0bPW4 by [email protected] |
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@johncarlosbaez I believe you.When I was a PhD student at Imperial College, I d… |
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Post #Ap2wgEWyv8nHTUJPoO by [email protected] |
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The Encyclopædia Britannica quote comes from their 1968, volume 2, in the arti… |
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Post #Ap2yKe7LJHLOMp9bRw by [email protected] |
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@johncarlosbaez Epicycles were the Feynman diagrams of antiquity |
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Post #Ap2yqPaUrnbsZQwBl2 by [email protected] |
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@BartoszMilewski - Except the ancients didn't keep adding more and more! … |
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Post #Ap30PPVpErHqQV0NQe by [email protected] |
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@ewout - I don't really know how Kepler came up with his brand new ideas, t… |
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Post #Ap34wg49765v8hB0vQ by [email protected] |
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@johncarlosbaez Oh! But you should look into it, it's a beautiful story of … |
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Post #Ap35wjoxFiMCjtfDU0 by [email protected] |
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@johncarlosbaez I'm sure there are modern accounts of this story, but mine … |
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Post #Ap35wjw2pM1p5sysXA by [email protected] |
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@ewout - I have Dijksterhuis' book and within one minute of reading your ar… |
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Post #Ap37K1XPeAMWIo7sIa by [email protected] |
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@pglpm - okay, I added a second page of references. But I would like to find a… |
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Post #Ap37Zjay7nwNHtHT4C by [email protected] |
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@wrog wrote:"Ptolemy was essentially using Fourier series 1500 years befor… |
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Post #Ap389O6bV6OB3z4wCW by [email protected] |
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@MartinEscardo - that's a bummer! This story is part of narrative that pa… |
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Post #Ap38KtxPPvHR2EGfzs by [email protected] |
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@johncarlosbaez Enclosing relevant pages from Gingerich's book. It'd be… |
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Post #Ap38jrvU6bXFyXGzui by [email protected] |
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@pglpm - that's an excellent read - thanks! I've taken the liberty of … |
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Post #Ap39Lrr0p1qskvIh2O by [email protected] |
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@johncarlosbaez Thank you for the thank! (there was no need). And for bringing … |
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Post #Ap39tLmAatV97508i8 by [email protected] |
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@johncarlosbaez This is because the ancients were lazy. If they were serious ab… |
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Post #Ap3IGW9qxXzZbddYRM by [email protected] |
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@johncarlosbaez There seems to be a long account with many interesting details … |
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Post #Ap3LdOe5M8q2pVNYTQ by [email protected] |
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@johncarlosbaez @MartinEscardo I enjoyed the global view of medieval astronomy … |
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Post #Ap3M0QawH6oXXGtCpE by [email protected] |
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@joaquimpuig - thanks, I'll check out Poskett's book sometime!@MartinEs… |
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Post #Ap3MgpLadVdsSyvZOi by [email protected] |
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@joaquimpuig @johncarlosbaez @MartinEscardo Beware and re-check. Some stories i… |
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Post #Ap3MgpTOAVserAZnYO by [email protected] |
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@vrruiz - hmm, maybe I should stick to more dry, scholarly accounts. I don'… |
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Post #Ap3MoZYHFMzxnKYToW by [email protected] |
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@BartoszMilewski @johncarlosbaez Is it the case that with epicycles, as with Fe… |
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Post #Ap3MoZiubpVOKJWyOG by [email protected] |
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@internic @johncarlosbaez I presume epicycles actually work, sort of like the F… |
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Post #Ap3MoZsU2FA4o00cJE by [email protected] |
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@BartoszMilewski @johncarlosbaez Yes, I guess any orbit could be thought of as … |
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Post #Ap3MoZxRjn8D3OKa2q by [email protected] |
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@internic - so far the amplitudohedron and its cousins work only for certain sp… |
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Post #Ap3Moa5FGnMzRZyoCW by [email protected] |
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@johncarlosbaez I guess in a rough sense that's similar to the motivation b… |
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Post #Ap40djJEcpB12Ou6JE by [email protected] |
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@dmm - a cycloid can be thought of as a curve traced out by a point on a circle… |
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Post #Ap40x8RfOVisUv6JyC by [email protected] |
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@dmm - Sure. I didn't explain the key part of Ptolemy's system, which … |
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Post #Ap449TDKInukFRy0My by [email protected] |
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@johncarlosbaez The Greeks considered the possibility of a moving Earth, looked… |
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Post #Ap46xICZidomTxV4vA by [email protected] |
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@johncarlosbaez I wouldn't be entirely surprised if @rmathematicus had a bl… |
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Post #Ap53zomrQvkZPzwfJY by [email protected] |
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@RobJLow @johncarlosbaez Not directly but the myth is very widely spread. Somew… |
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Post #Ap53zowmq1gpumaamm by [email protected] |
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@RobJLow @johncarlosbaez printed by Regiomontanus in 1472, had less circles tha… |
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Post #Ap53zp6iF7d6PZEWG0 by [email protected] |
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@RobJLow @johncarlosbaez I hadn't read all of John's posts on the topi… |
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Post #Ap53zpD5rOjYjMDcCe by [email protected] |
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@rmathematicus -do you know a thorough scholarly paper on the myths surrounding… |
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Post #Ap54waADRi2T9NtFzc by [email protected] |
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@johncarlosbaez @RobJLow I don’t think there is one |
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Post #Ap55112xRCdJgVbqMK by [email protected] |
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@rmathematicus - wow! So maybe I have to write it. @RobJLow |
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Post #Ap589B14YRtUmfJJiK by [email protected] |
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@johncarlosbaez @RobJLow Get writing then! |
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Post #Ap5H9wEhtK44oz7s7U by [email protected] |
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@rmathematicus - the hard part (for me) is doing the research. For example, ri… |
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Post #ApoSIl8TaiCJESlvv6 by [email protected] |
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@johncarlosbaez @pglpm wait, so how many epicycles did Copernicus's theory … |
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Post #ApoYs4Wk5NUzEZLOEq by [email protected] |
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@wolf480pl - It's really hard to get the correct answer to questions like h… |
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Post #ApoZZJ5pnzyirUNG0u by [email protected] |
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@johncarlosbaez @pglpm so Ptolemy used 6+6, and others who were adding more wer… |
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Post #ApoalTnlutAvVGIGrQ by [email protected] |
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@johncarlosbaez @wolf480pl According to Weinberg <https://www.harpercollins.… |
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Post #ApobA889cvOFWxa7lo by [email protected] |
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@pglpm @wolf480pl - unfortunately I've learned you can't trust anyone i… |
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Post #ApodOD9vvWbr5bFvbk by [email protected] |
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@johncarlosbaez @wolf480pl Absolutely agree. Nice to hear! |
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Post #ApolaeCM1Nxe3dpTN2 by [email protected] |
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@wolf480pl @pglpm - I no longer believe that Ptolemy used just 6+6. He used at… |
