tipz Posted August 7, 2011 (edited) http://i1084.photobucket.com/albums/j406/tipp0/Infinite-Circle-Paradox.png couldn't work out how to insert the image i wanted to hence the link - good paradox though Edited August 7, 2011 by tipz Share this post Link to post Share on other sites
Sheather Posted August 7, 2011 I don't understand what about that is meant to be paradoxical? It fits into standard logic. 1 Share this post Link to post Share on other sites
ballzac Posted August 7, 2011 I was wondering the same thing Share this post Link to post Share on other sites
tipz Posted August 7, 2011 (edited) just a page i came across on stumbleupon - called the paradox of the infinite circle - heres the link - easier than copy-pasting or translating into my own words ! http://www.stumbleupon.com/su/2hSU3W/www.ponderabout.com/archives/706/the-paradox-of-the-infinite-circle/ ( isnt it a paradox to say if an infinitely large circle was constructed from a straight line it could not possibly form a circle - then again on second thoughts perhaps i am wrong - it happens ? ) Edited August 7, 2011 by tipz Share this post Link to post Share on other sites
ballzac Posted August 7, 2011 There are a couple of obvious fallacies there. Firstly, if the problem with a circle of infinite radius is that a circle has no ends but a straight line does, then the simple response to that is that an infinite straight line also has no ends. The other fallacy is with the concept of infinity. This holds even if you don't buy the first explanation. When mathematicians say "at infinity", they actually mean "the limit as (insert variable) approaches infinity". Infinity is not a point in itself. It is only something that can be approached. So if you take a circle and increase its radius towards infinity, its curvature will approach zero. If you stop increasing the radius at some point, the curvature will still be greater than zero. But if you choose an arbitrarily large radius, you can always smoothly increase the radius to above that chosen. It is a limiting process. Mathematically, one would say that the limit of 1/r as r approaches infinity is zero, where r is the radius and 1/r is the curvature. Share this post Link to post Share on other sites
Rabaelthazar Posted August 7, 2011 I think the biggest flaw in the "paradoxical circle" is that in point one from the link, we're discussing the "curvature of a given length of its circumference". In the the final point, we seem to have totally forgotten that we were originally talking about a given length of the circle's circumference and now assume that the same thing that appears to happen to a "given length" will happen to the total circle. 1 Share this post Link to post Share on other sites
tripsis Posted August 7, 2011 There are some chronically funny pictures in this thread. Share this post Link to post Share on other sites
incognito Posted August 7, 2011 love the "wheres wally" one. mate that made my night haha Share this post Link to post Share on other sites
qualia Posted August 31, 2011 (edited) This image of Earth (on the left) and the moon (on the right) was taken by NASA's Juno spacecraft on Aug. 26, 2011, when the spacecraft was about 6 million miles (9.66 million kilometers) away. It was taken by the spacecraft's onboard camera, JunoCam. The solar-powered Juno spacecraft lifted off from Cape Canaveral Air Force Station in Florida on Aug. 5 to begin a five-year journey to Jupiter. Image credit: NASA/JPL-Caltech Edited August 31, 2011 by qualia Share this post Link to post Share on other sites
qualia Posted September 1, 2011 ^^ that was part of a much bigger animation wasn't it? i remember seeing something very similar a few years ago, maybe it was in spain? Share this post Link to post Share on other sites
bluejay700777 Posted September 1, 2011 ^^ There's one just like it, if not this one in Italy. Share this post Link to post Share on other sites
Seldom Posted September 2, 2011 i think you're thinking of blu Share this post Link to post Share on other sites
Ulca Posted September 2, 2011 (edited) cool vid... Edited September 2, 2011 by Ulca Share this post Link to post Share on other sites
qualia Posted September 2, 2011 ^^ aye thats it. cool stuff that Share this post Link to post Share on other sites
Seldom Posted September 3, 2011 (edited) yep definitely cross her out Edited September 3, 2011 by bulls on parade Share this post Link to post Share on other sites
Evil Genius Posted September 5, 2011 (edited) Yeah, good old David Thorne. Kates party was epic. Edited September 5, 2011 by Evil Genius Share this post Link to post Share on other sites
ThunderIdeal Posted September 12, 2011 weird spider tree is weird. Share this post Link to post Share on other sites
etherealdrifter Posted September 12, 2011 ppft.. without that size spider tree he ;d only be able to move a fraction of that amount of spiders in one 'spider run' back to the village from the spider dam collection point@the waters edge Share this post Link to post Share on other sites
ThunderIdeal Posted September 12, 2011 wow i just realised the person in the foreground is nowhere near the tree. that is one massive spider tree and i'm sure it has fueled some very productive spider runs. villages need a good supply of spiders because, among other reasons, children need lots of spider pie to grow up healthy. Share this post Link to post Share on other sites
sapito Posted September 12, 2011 (edited) fail Edited September 13, 2011 by sapito Share this post Link to post Share on other sites