41. A Simple Solution To Zeno�S Paradox Ppt Presentation Oct 15, 2009 A Simple Solution to Zeno s Paradox A PowerPoint presentation. http://www.authorstream.com/Presentation/22smith-255045-simple-solution-zeno-par

42. Zeno's Paradox As Proof Of A Finite Universe@Everything2.com Zeno's Paradox says (basically) that movement is not possible because in order to move any distance one must first move half that distance, and half that distance, etc etc. http://everything2.com/title/Zeno%27s Paradox as proof of a finite universe

Near Matches Ignore Exact Everything Zeno's Paradox as proof of a finite universe cooled by themusic idea by Enzondio Mon Jun 19 2000 at 22:13:38 Zeno's Paradox says (basically) that movement is not possible because in order to move any distance one must first move half that distance, and half that distance, etc etc. He assumes that the physical universe mirrors mathematics in that you can divide a distance infinitely just as you can divide a number infinitely. Simply said he assumes that the universe is infinitely large since no finite number can be divided infinitely. However, empirically Zeno's Paradox quite obviously doesn't hold any water. So let's look at it backwards, the reason we can't move would be, indirectly, that the universe is infinitely large . Since we can move, the universe must not be infinitely large but rather be composed of a near infinite amount of fundamental units of mass I'm not suggesting this is some groundbreaking idea, but I wonder if anyone has reason to dispute it? Or if some philosopher has already stated it ( Zeno may have, I'm not sure).

43. Zeno�s Paradox - Advanced Physics Forums 2 posts 2 authors - Last post Jul 10Zeno�s Paradox Advanced Math Physics. Join Date 2010 Jul. Posts 15. netzweltler is an unknown quantity. Zeno�s Paradox http://www.advancedphysics.org/forum/showthread.php?p=66618

44. BBC - H2g2 - Zeno's Paradox - A541937 Zeno, an ancient Greek possibly too smart for his own good, developed a paradox. It postulated that motion is impossible because the moving object always has to cover half the http://www.bbc.co.uk/dna/h2g2/alabaster/A541937

Skip to main content Text Only version of this page Access keys help Home Explore the BBC Life The Universe Everything ... Sign in or register to join or start a new conversation. 3. Everything Deep Thought Philosophy 3. Everything ... Mathematics Zeno's Paradox Zeno, an ancient Greek possibly too smart for his own good, developed a paradox. It postulated that motion is impossible because the moving object always has to cover half the distance. Since the number of halves is infinite and they become infinitely small, the moving object never really gets itself going. The Basic Arrow Example Picture an arrow being fired at a target 16 yards away. Before it reaches the target, the arrow has to get to a point eight yards away, but before it gets to that point, the arrow has to get four yards away. Get it yet? If you don't, keep dividing the distance travelled by two. See how small the numbers get? Those numbers represent shorter distances travelled. After 12 of these permutations, the arrow is moving a little more than an eighth of an inch. And these divisions go on forever, so the arrow eventually moves so little that the change is virtually undetectable. The Advanced Fable Example Assuming everyone is familiar with the story of the Tortoise and the Hare (if you're not, ask your parents what they were thinking), Zeno's paradox shows how the Hare never would have stood a chance had the tortoise been given a head start.

45. Zeno S Paradox Of Measure - Cornell University File Format PDF/Adobe Acrobat Quick View http://courses.cit.cornell.edu/jdv55/teaching/184/skyrms 83 - zeno's paradox

46. Zeno's Paradox: Philosophy Forums Please note because you're not logged in, you may be viewing older cached versions of pages which are served up to reduce server load. http://forums.philosophyforums.com/threads/zenos-paradox-39597.html

var tb_pathToImage = "/templates/images_default/loadingAnimation.gif"; Forums Articles Gallery Links Style: dark default largeprint space white Go Register Login Members Calendar New Posts Search ... Help Username: Password: Register Forgot Password Please note: because you're not logged in , you may be viewing older cached versions of pages which are served up to reduce server load. Philosophy Forums Metaphysics and Epistemology Print Page: Initiate Usergroup: Members Joined: Feb 12, 2010 Total Topics: Total Posts: Posted Feb 12, 2010 - 3:09 PM: Subject: Today in philosophy we talked about Zeno's Paradox, and my professor and i had a couple disagreements that I would like to get some other opinions on. The main part of Zeno's Paradox that I disagree with is the arrow paradox, here is a link for anyone who is unfamiliar http://plato.stanford.edu/entries/paradox-zeno/#Arr . The first question I had was, if an instant is the smallest unit of time wouldn't that make time finite not infinite? If not couldn't you further break down that instant into "smaller" instants in which motion would be possible over the span of the "larger" instant? According to my teacher that doesn't work because an instant it similar to a point. A point takes up no space, but if you have a lot they will form a line, just as time is made up of many instants. He also said that although time is infinite, moments cannot be broken down any further, which to me seems to go against my beliefs about infinity.

47. Metaphor - A Propositional Comment And An Invitation To Intimacy File Format PDF/Adobe Acrobat Quick View http://www.speakeasy.net/~anamshane/intima.pdf

48. Potential And Actual Infinite In Cognitive Models Of Time L Infini File Format PDF/Adobe Acrobat Quick View http://perso.telecom-paristech.fr/~jld/papiers/pap.cogni/01040906.pdf

49. Zeno's Paradoxes -- From Wolfram MathWorld Pappas, T. Zeno's ParadoxAchilles the Tortoise. The Joy of Mathematics. San Carlos, CA Wide World Publ./Tetra, pp. 116117, 1989. Russell, B. http://mathworld.wolfram.com/ZenosParadoxes.html

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Interactive Demonstrations Zeno's Paradoxes A set of four paradoxes dealing with counterintuitive aspects of continuous space and time. 1. Dichotomy paradox: Before an object can travel a given distance , it must travel a distance . In order to travel , it must travel , etc. Since this sequence goes on forever, it therefore appears that the distance cannot be traveled. The resolution of the paradox awaited calculus and the proof that infinite geometric series such as can converge, so that the infinite number of "half-steps" needed is balanced by the increasingly short amount of time needed to traverse the distances. 2. Achilles and the tortoise paradox: A fleet-of-foot Achilles is unable to catch a plodding tortoise which has been given a head start, since during the time it takes Achilles to catch up to a given position, the tortoise has moved forward some distance. But this is obviously fallacious since Achilles will clearly pass the tortoise! The resolution is similar to that of the dichotomy paradox. 3. Arrow paradox: An arrow in flight has an instantaneous position at a given instant of time. At that instant, however, it is indistinguishable from a motionless arrow in the same position, so how is the motion of the arrow perceived?

50. CHAPTER 2 File Format Microsoft Word View as HTML http://cob.jmu.edu/rosserjb/CHAP2.CCG.doc

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51. Zeno's Paradox: Achilles And The Tortoise - Wolfram Demonstrations Project Zeno of Elea (circa 450 BC) is credited with creating several famous paradoxes, but by far the best known is the paradox of the tortoise and Achilles. http://demonstrations.wolfram.com/ZenosParadoxAchillesAndTheTortoise/

52. Zeno's Paradoxes: A Timely Solution - PhilSci-Archive Oct 7, 2010 Zeno of Elea s motion and infinity paradoxes, excluding the Stadium, are stated (1), commented on (2), and their historical proposed http://philsci-archive.pitt.edu/1197/

@import url(/style/auto.css); @import url(/style/print.css); @import url(/style/nojs.css); Login Create Account Simple Search Advanced Search ... Latest Additions Information Home About the Archive Archive Policy History ... Contact Us Zeno's Paradoxes: A Timely Solution Lynds, Peter Zeno's Paradoxes: A Timely Solution. [Preprint] (Unpublished) Preview PDF Download (166Kb) Preview Abstract Export/Citation: EndNote BibTeX Dublin Core ASCII (Chicago style) ... OpenURL Social Networking: Share Item Type: Preprint Additional Information: Keywords: Time, Zeno's Paradoxes, Zeno of Elea, Classical Mechanics, Quantum Mechanics, Indeterminacy, Discontinuity, Motion Subjects: Depositing User: Peter Lynds Date Deposited: 15 Sep 2003 Last Modified: 07 Oct 2010 11:11 Item ID: Public Domain: No URI: http://philsci-archive.pitt.edu/id/eprint/1197 Commentary/Response Threads Lynds, Peter Zeno's Paradoxes: A Timely Solution. (deposited 15 Sep 2003) [Currently Displayed] Engle, Eric Allen Zeno's Paradox: A response to Mr. Lynds. (deposited 15 Aug 2003) Actions (login required) View Item ULS D-Scribe This site is hosted by the University Library System of the University of Pittsburgh as part of its D-Scribe Digital Publishing Program E-Prints Philsci Archive is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton.

53. Winterspeak.com: Zeno's Paradox In Zeno's paradox, Achilles keeps gaining on the Tortoise but never actually reaches it. Similarly, economists keep coming closer to the core problem behind this (and all http://www.winterspeak.com/2008/10/zenos-paradox.html

var BL_backlinkURL = "http://www.blogger.com/dyn-js/backlink_count.js";var BL_blogId = "913439"; winterspeak.com Thoughts on human interaction over the next 25 years Thursday, October 16, 2008 Zeno's paradox In Zeno's paradox, Achilles keeps gaining on the Tortoise but never actually reaches it. Similarly, economists keep coming closer to the core problem behind this (and all) credit crises, but can never bring themselves 100% there. In this NYTimes piece , Diamond and Kashyap (and Diamond in particular is closest to understanding the problem here) say: If the remaining investment banks, Goldman Sachs and Morgan Stanley, do not get more secure funding in place, they may be acquired or subject to a run too. In the current environment, relying almost exclusively on short-term debt is hazardous, even if a firm or bank has nothing wrong with it. The very next paragraph reads: The inability to secure short-term funding fundamentally comes from having insufficient capital. There are many indicators that the largest financial institutions are collectively short of capital. Perhaps Diamond and Kashyap could explain in what kind of environment relying almost exclusively on short-term debt is not hazardous, and while they are at it, perhaps they want to explain FDIC, and how sounds the retail banking system would be if FDIC did not exist. And while in this article the say that the inability to secure short-term funding comes from having insufficient capital, perhaps they could explain why the crises happened when it did, and not a year ago (where housing financials were as dubious as they are now)? As Diamond's own freakin' model demonstrates, relying almost exclusively on short-term debt is

54. Linux & Zeno's Paradox Dec 15, 2008 Linux Zeno s Paradox. � Post categories Omni, FOSS, Rant, Technology. You probably know the one You wish to get from point A to point B. http://geekblog.oneandoneis2.org/index.php/2008/12/15/linux-aamp-zeno-s-paradox

Mon, Dec 15, 2008 Omni FOSS Rant Technology You probably know the one: You wish to get from point A to point B. Before you can reach B, you have to get halfway there. Before you can get halfway, you have to get a quarter of the way. Before you can get a quarter of the way, you have to get an eighth. And so on and so forth, ad infinitum. The popular way of phrasing this one is of firing an arrow at someone running away from you. By the time the arrow gets to where he was, the target has gone a bit further on. So the arrow carries on, until it reaches where the target was, but of course no longer is. So the arrow gets closer and closer, but never actually hits the target so long as he keeps running away. There are various ways to solve the paradoxes. You can talk about how an infinite series can tend towards a finite answer; you can disagree that there are an infinite number of points between any two points, removing infinity from the equation; you can argue that dividing time into smaller and smaller quantities in order to proportionately reduce distance travelled in each step is not a valid way of creating an infinite sequence. Whatever. The point is the concept that smaller and smaller issues cause bigger and bigger problems as you get closer to the goal.

55. Zeno's Paradox - The Yin/Yang Symbol & Zeno's Paradox An exploration of the relationship between Zeno's Paradox, Thompson's Lamp and the Yin/Yang Symbol fun! http://taoism.about.com/od/otherreligions/a/Zenos_Paradox.htm

zWASL=1;zGRH=1 zGCID=this.zGCID?zGCID+" test11":" test11" zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 Home Taoism Taoism Search Taoism Basics Inner Alchemy Practices ... Share w(x2+zWl+'?p=1" zT="18/1[N" rel="nofollow">Print') Free Taoism Newsletter! Sign Up Discuss in my Forum By Elizabeth Reninger , About.com Guide See More About: yin/yang symbol zeno's paradox zSB(3,3) Western philosophy has given us a koan-like parable known as . There are several versions of the paradox, the most well-known of which features the swift-footed Achilles and a plodding tortoise. The tortoise was able to convince Achilles that catching him would be impossible, since he would never actually be able to traverse the distance that separated them i.e. that since the number of steps would be infinite, the process could never come to an end. Yet the truth was that the distance could be traversed, since the situation was one of an infinite series increasing by a factor of less than one. The standard answer given to this paradox is that neither the state of the lamp nor the state of the switch at that end-point (the sum of the series when, theoretically, the toggling is happening at an infinite speed) can be determined. going to warp-speed If we allowed the curves defining the Taoist Yin/Yang Symbol to begin to spin (like a pin-wheel) what would happen as the speed of this spinning increased? What we would likely perceive, visually, is that the once-distinct black and white areas were now appearing as a homogenous silver/gray color, yes? Would this perception represent the truth of what was actually there, or not? (It is said that for a Mahasiddha, the light of day and the light of night both appear as what we generally perceive only at dawn or dusk, i.e. as a homogeneous mixing of light and dark.)

56. It All Began With An End - New Theory On Origin And Future Of The File Format PDF/Adobe Acrobat Quick View http://www.peterlynds.net.nz/plcs.pdf

57. BBC - H2g2 - Zeno's Paradox h2g2 is the unconventional guide to life, the universe and everything, a guide that's written by visitors to the website, creating an organic and evolving encyclopedia of life http://www.bbc.co.uk/dna/h2g2/A541937

@import '/h2g2/skins/brunel/brunel.css'; @import '/dnaimages/bbcpage/v3-0/toolbar.xhtml-transitional.css'; Skip to main content Text Only version of this page Access keys help Home Explore the BBC 31st October 2010 Accessibility help Text only Guide ID: A541937 (Edited) Edited Guide Entry SEARCH h2g2 Edited Entries only Advanced Search Sign in or register to join or start a new conversation. BBC Homepage The Guide to Life The Universe and Everything 3. Everything Deep Thought Philosophy ... Mathematics Created: 11th May 2001 Zeno's Paradox Front Page What is h2g2? Who's Online Write an Entry ... Contact Us Like this page? Send it to a friend! Zeno, an ancient Greek possibly too smart for his own good, developed a paradox. It postulated that motion is impossible because the moving object always has to cover half the distance. Since the number of halves is infinite and they become infinitely small, the moving object never really gets itself going. The Basic Arrow Example Picture an arrow being fired at a target 16 yards away. Before it reaches the target, the arrow has to get to a point eight yards away, but before it gets to that point, the arrow has to get four yards away. Get it yet? If you don't, keep dividing the distance travelled by two. See how small the numbers get? Those numbers represent shorter distances travelled. After 12 of these permutations, the arrow is moving a little more than an eighth of an inch. And these divisions go on forever, so the arrow eventually moves so little that the change is virtually undetectable.

58. NEXT SHORTEST LINE NEXT SHORTEST LINE By Bert Schreiber 4519 Holly File Format PDF/Adobe Acrobat Quick View http://www.wbabin.net/science/schreiber40.pdf

59. Zeno's Paradox Of The Arrow Zeno’s Paradox of the Arrow A reconstruction of the argument (following Aristotle, Physics 239b57 = RAGP 10) 1. When the arrow is in a place just its own size, it’s at rest. http://faculty.washington.edu/smcohen/320/ZenoArrow.html

A reconstruction of the argument (following Aristotle, Physics 239b5-7 = RAGP 10): 2. At every moment of its flight, the arrow is in a place just its own size. 3. Therefore, at every moment of its flight, the arrow is at rest. The velocity of x at instant t can be defined as the limit of the sequence of x t x is in a place just the size of x at instant i x is resting at i nor that x is moving at i Perhaps instants and intervals are being confused War and Peace 1a. At every instant false 2a. At every instant during its flight, the arrow is in a place just its own size. ( true 1b. During every interval true 2b. During every interval of time within its flight, the arrow occupies a place just its own size. ( false A final reconstruction The order in which these quantifiers occur makes a difference! (To find out more about the order of quantifiers, click here .) Observe what happens when their order gets illegitimately switched: 1c. If there is a place just the size of the arrow at which it is located at every instant between t and t , the arrow is at rest throughout the interval between t and t 2c. At every instant between

60. YouTube - Gödel, Escher, Bach: Grelling's Paradox Sep 27, 2008 wikipedia, Zeno s_paradoxes . Added to queue Zeno s Got an Axe and I Think He s Crazy!!!by RobotOwl2049 views. Loading more suggestions. http://www.youtube.com/watch?v=QzqrdzUxI4w

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