When Doug wrote me, saying, "post something obscure", I am not sure if he really meant this obscure. Be that as it may.
Because I'm sure all of you can't get enough of ancient Greek advanced mathematics, let me point out this recent article in the journal Nature about the Antikythera Mechanism, a 2100-year-old geared calculator found in a Roman shipwreck in 1901. And yes, Hipparchus seems to have been involved with that one too.
To my non-stalker critics, you all should be glad I haven't posted about Neolithic dragon dice yet. (Yes, a millennium before Plato discussed the five regular solids, the inhabitants of Aberdeenshire were messing with d4, d6, d8, d12 and d20. To the world's relief, no Ogham Monster Manual survives.)
Speaking of pre-modern mathematics, have you ever thought of doing a WI based on the Oxford calculators?
Posted by: Andrew R. | December 02, 2006 at 04:30 AM
Yes, but I think it would take some special pleading for their efforts not to turn into sterile disputation -- for sociological reasons, mind, not for lack of intellectual rigor.
Posted by: Carlos | December 02, 2006 at 06:09 AM
Yeah, after conversations with folks who've encountered them and their millieu much more than I, I've had to come to the sad conclusion that the time just wasn't quite right for a Scientific Revolution.
I'm wondering, though, it it's somehow possible to make the conceptual leap from looking for innate properties and virtues and simply recording observations and building from those. The tenor of the times is more or less against it, but I tend to think that Nominalism could possibly provide a small-ish window to wriggle out of the systematizing impulse of the time.
Posted by: Andrew R. | December 02, 2006 at 06:48 AM
I know: write 'Doctor Mirabilis', but about Shen Gua.
Or 'Doctor Mirabilis' where Roger Bacon was sent to Canbaluc instead of what's his name, William of Rubruck.
Posted by: James Bodi | December 02, 2006 at 02:14 PM
What was the new news? (I read the article on the BBC site last week). I thought that the purpose of the mechanism had been generally understood for some time now.
Posted by: Dennis | December 05, 2006 at 07:48 AM
Dennis, the new imaging analysis allowed the researchers to figure out exactly which class of mathematical and astronomical theories were embodied in the mechanism. Sort of like deducing modern celestial mechanics from a planetarium projector.
It appears that the Antikythera mechanism used some basic Babylonian algorithms to predict eclipses, but also had gearing to demonstrate eccentricities in the Moon's orbit, apparently based on Hipparchus's advanced theory.
This suggests a highly sophisticated (and almost completely lost) practice of translating numerical theory into mechanical display.
Posted by: Carlos | December 05, 2006 at 11:52 AM