81. Zeno S Paradox Considered Federal Criminal Case - Information presents an interesting application of Zeno s paradox (ie how can you get frompoint a to point b For a logically rigorous discussion of Zeno s paradox http://www.physicsforums.com/archive/t-57557_Zeno's_Paradox_Considered_Federal_C

Technology Services Philosophy Zeno's Paradox Considered Federal Criminal Case ohwilleke - Zeno's Paradox Considered Federal Criminal Case This case: http://pacer.ca10.uscourts.gov/pdf/03-2243.pdf presents an interesting application of Zeno's paradox (i.e. how can you get from point a to point b despite the fact that you must cross half the remaining distance to get there an infinite number of times), in the context of an individual who fled an immigration check point in his car. Discuss Zeno's Paradox Considered Federal Criminal Case Here, Free! properphysicist - Zeno's Paradox Considered Federal Criminal Case According to Quantum Physics space is discrete, not continuous. i.e. there are a certain finite number of intervals of space between a and b each of which is either crossed or not. Space is discrete on a very small scale, therefore, macroscopically speaking, space appears to be continuous. Thus, Zeno's paradox does in fact not exist. Discuss Zeno's Paradox Considered Federal Criminal Case Here, Free! chroot - Zeno's Paradox Considered Federal Criminal Case properphysicist

82. Zeno S Paradox Four The Stadium - Information Technology Services Tom McCurdy Zeno s paradox Four The stadium. Since the fourth one involvesspecific places in diagrams i am providing links as I havne t had much luck http://www.physicsforums.com/archive/t-42174_Zeno's_Paradox_Four--_The_stadium.h

Technology Services Philosophy Zeno's Paradox Four The stadium Tom McCurdy - Zeno's Paradox Four The stadium Since the fourth one involves specific places in diagrams i am providing links as I havne't had much luck with spaces on this forum http://plato.stanford.edu/entries/paradox-zeno/#3.4 solution should be there Discuss Zeno's Paradox Four The stadium Here, Free!

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

@import url('/includes/tbenh.css') ; Home TV Radio Talk ... A-Z Index Saturday 17th September 2005 Text only Guide ID: A541937 (Edited) Edited Guide Entry SEARCH h2g2 Advanced Search New visitors: Returning members: 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 ... Help 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. 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.

84. PEN-L Message, [PEN-L:688] Zeno's Paradox! Hi fellows, I am writing a paper on Zeno s paradox, attempting to make anapplication in economic theory. Does anyone know any particular article or book in http://archives.econ.utah.edu/archives/pen-l/1995m10.a/msg00068.htm

PEN-L mailing list archive Other Periods Other mailing lists Search Date: [ Previous Next ] Thread: [ Previous Next ] Index: [ Author Date Thread [PEN-L:688] Zeno's Paradox! Subject : [PEN-L:688] Zeno's Paradox! From Date : Fri, 6 Oct 1995 20:11:46 -0700 Hi fellows, I am writing a paper on Zeno's Paradox, attempting to make an application in economic theory. Does anyone know any particular article or book in your own language (other than English, Portuguese and Spanish) that could indicate me? I have made an extensive search, but many times the citations are made inside the text and not under a specific title. I will be very happy to thank anyone that can help me. Virtually, Dionisio Carmo-Neto, Federal University of Bahia, Brazil, dioneto@ufba.br Prev by Date: [PEN-L:687] re: NLRB cut Next by Date: [PEN-L:689] Re: opening the hood Previous by thread: [PEN-L:687] re: NLRB cut Next by thread: [PEN-L:689] Re: opening the hood Index(es): Date Thread Thread context: [PEN-L:692] Re: Greenspan and the other boyz in the hood , Michael Perelman Sat 07 Oct 1995, 22:33 GMT [PEN-L:691] Re: Greenspan and the other boyz in the hood , bill mitchell Sat 07 Oct 1995, 21:30 GMT [PEN-L:690] Greenspan and the other boyz in the hood , Michael Perelman Sat 07 Oct 1995, 16:10 GMT [PEN-L:689] Re: opening the hood , Mason Clark Sat 07 Oct 1995, 06:45 GMT [PEN-L:688] Zeno's Paradox!

85. PEN-L Message, [PEN-L:699] Re:Zeno's Paradox! on Zeno s paradox, attempting to make an application in economic theory. PENL699 ReZeno s paradox!, Alan Freeman Sun 08 Oct 1995, 1808 GMT http://archives.econ.utah.edu/archives/pen-l/1995m10.b/msg00004.htm

PEN-L mailing list archive Other Periods Other mailing lists Search Date: [ Previous Next ] Thread: [ Previous Next ] Index: [ Author Date Thread [PEN-L:699] Re:Zeno's Paradox! To Subject : [PEN-L:699] Re:Zeno's Paradox! From Date : Sun, 8 Oct 1995 11:02:10 -0700 Prev by Date: [PEN-L:698] Re: Greenspan and the other boyz in the hood Next by Date: [PEN-L:700] USE the INTERNET to CHANGE THE WORLD: An Online Course for Activists Previous by thread: [PEN-L:698] Re: Greenspan and the other boyz in the hood Next by thread: [PEN-L:700] USE the INTERNET to CHANGE THE WORLD: An Online Course for Activists Index(es): Date Thread Thread context: [PEN-L:703] Looking for Mr. Good Bar(graph) , Jim Jaszewski Mon 09 Oct 1995, 04:51 GMT [PEN-L:702] the mighty greenspan , Michael Perelman Mon 09 Oct 1995, 01:49 GMT [PEN-L:701] Re: USE the INTERNET to CHANGE THE WORLD: An Online Course for Activists , Louis N Proyect Sun 08 Oct 1995, 22:27 GMT [PEN-L:700] USE the INTERNET to CHANGE THE WORLD: An Online Course for Activists , Harel Barzilai Sun 08 Oct 1995, 21:13 GMT [PEN-L:699] Re:Zeno's Paradox!

86. Zeno's Paradox - Part 1 - Debolaz's Personal Super Weblog Today, I had a rather interesting discussion about Zeno s paradox in an IRCchannel on Zeno s paradox is a paradox by a really old greek named Zeno. http://www.debolaz.com/archives/1-Zenos-paradox-Part-1.html

Zeno's paradox - Part 1 Debolaz's Personal Super Weblog Sunday, January 23. 2005 Zeno's paradox - Part 1 Today, I had a rather interesting discussion about Zeno's paradox in an IRC channel on EFNet . I'll attempt to sum it up in this post for those of you who has way too much spare time since you're reading my blog. [Added later: Before you make an comments about this problem being solved mathematically, realize that I'm not trying to show you a mathematical problem here, and the fact that it has been used as an example to teach you calculus does not change this] Zeno's paradox is a paradox by a really old greek named Zeno. Achilles (You might've seen him in the recent movie Troy ) decides one day that he wants to challenge a turtle to a race. Achilles considers himself the best runner in Greece and graciously allows the turtle 100 feet head start. They start racing but today everything is not working out right for Achilles. You see, in the time that Achilles has used to run 100 feet, the turtle has actually been able to get 10 feet further and while this might not sound as such a terrible thing for Achilles, observe what happens next: Achilles thinks that he has just about won, but by the time he passes the 10 feet the turtle covered during Achilles' opening, the turtle has now boggled 1 feet forward. Achilles keeps running, but as he has gotten 1 more feet forward, the turtle has snuck another 0,1 feet forward. And no matter how hard Achilles tries, the turtle is always able to get just a little bit in front of him and mighty Achilles eventually have to give up to the little non-mammal creature in front of him.

87. Not From Here To Eternity Dr. David Harbater of the University of Pennsylvania explains Zeno s paradox .(Tape 0124301310) Before you can get to the wall you have to walk http://www.msri.org/activities/jir/bwachtel/NotFromHeretoEternity.html

88. Richard Artschwager - Zeno's Paradox Richard Artschwager View available works of art, prices and exhibitions by theartist Richard Artschwager in galleries worldwide. http://www.artnet.com/artwork/424105072/richard-artschwager-zenos-paradox.html

JavaScript is disabled within your browser, several site items like the menu will not show up correctly. Artists Richard Artschwager Zeno's Paradox More from this Artist Print this Page TITLE: Zeno's Paradox ARTIST: Richard Artschwager WORK DATE: CATEGORY: Prints MATERIALS: Suite of four etchings with aquatint, spitbite, softground, and drypoint with mountable rubberized horsehair portfolio box EDITION/SET OF: SIZE: h: 19.5 x w: 23.2 in / h: 49.5 x w: 58.9 cm STYLE: Contemporary PRICE: USD 12500 (Convert prices to your currency with our Currency Converter GALLERY: Brooke Alexander Editions Send Email ONLINE CATALOGUE(S): Inventory Catalogue artnet.com artnet.de Artnet Worldwide Corporation, New York, NY.

89. Zeno's Paradox And Chaos. real numbers and the biological relevance of chaos theory. http://myweb.lsbu.ac.uk/~dirt/museum/paradox.html

Archimedes and the tortoise are in a race. Archimedes gives the tortoise a head start. Archimedes catches up the tortoise. No no, let's try that again, this time using discrete numbers. We'll give the tortoise 100 metres start. Both archimedes and the tortoise start runnning. After time T, Archimedes has run 100 metres.... BUT the tortoise has covered another 0.1 metres. Lets run that again. After time dT, Archimedes has run 0.1 metres.... BUT the tortoise has covered another 0.0001 metres. and so on, while you can extend the decimal places to describe the result. Using discrete numbers to model the situation, Archimedes does not catch the tortoise. What about chaos? If you take any situation that you might want to model, you have to define your starting position. It will be a set of numbers. Your accuracy will depend on how precise your number is, the number of decimal places. Complex situations mean that imprecision in the starting position will mean great differences in the final position. Real life situations like the weather or human relations require numbers of infinite length to define the starting position. Since I'm a medic, I'll give you a medical example.

90. David Robjant I present my hypothesis for the structure of Zeno s paradox. In order to makeAristotle s solution to Zeno s paradox necessary, I reconstruct the http://website.lineone.net/~david.robjant/contents.html

Plato's 'late' argument for the theory of Forms Welcome Synopsis CONTENTS: INTRODUCTION CHAPTER 1: Zeno in the Parmenides. I study the opening section of the Parmenides for evidence about Plato's understanding of Zeno's treatise, and its relevance to young Socrates' invocation of the forms in that dialogue. (a) Conclusions without reasoning. I suggest that the intended readership of the Parmenides were those familiar with Zeno's Treatise. (b) Anti-pluralist but not monist. I precisify Zeno's conclusions as a first step to reconstructing his reasoning. (c) Socrates' response. I take Socrates' response to Zeno as a guide to nature of Zeno's argument. (d) Analogy with nominalism. I suggest that the Zeno's likeness contradiction may be an attack on an ontology with nominalist consequences. (e) A 'great escape' argument. I discuss the use that young Socrates makes of Zeno's arguments. (f) Conclusion to Chapter 1. I conclude that if there were an argument from Zeno's treatise to Plato's theory of forms, it would be better than young Socrates' 'great escape' argument. CHAPTER 2: Aristotle's Zeno and the paradoxes of motion.

91. Zeno's Paradox zeno s paradox Time 4 54 Lyrics Andy Wagner It deals with Zeno sparadox, which states that you can never get from point A to point B without http://www.losingblueprint.com/hmmobzenos.html

[zeno's paradox] [Time: 4'54"] [Lyrics: Andy Wagner] [First performed November 22, 1997 show #4] [Appears as track #2 on "Pastor of Muppets"] [Tim: electric bass, Nevin: violin, Kort: bouzouki, Jamie: percussion, vocals, Andy: guitar, vocals, Thom: guitar, vocals] This is definitely a math-rock song. It deals with Zeno's Paradox, which states that you can never get from point A to point B without going half of the distance, and then half of the remaining distance, and then half of that remaining distance, etc., thus you have to travel through an infinite number of half-distances, and can never get there. And imagining yourself at point A, and the object of your enamoration at point B. Instant romance! Viva la math! I proffered my first step toward you And in that advance moved twice as near In calculating a foothold I thought I'd soon be there and you'd be here But the second stretch was not such a stretch And there still lay One quarter between us seamed from the half I'm trying to reach you but I'm thrown off by the math Should throw physics to the dogs And just jump, not crawl, not creep

92. Zeno S Paradox Of Plurality And Proof By Contradiction Stephen I end this story then, where it began, with Zeno s paradox of plurality, Allen, RE The interpretation of Plato s Parmenides Zeno s paradox and the http://cs.wwc.edu/~aabyan/CII/TEMP/Zeno2.html

Zeno's Paradox of Plurality and Proof by Contradiction Stephen Campbell Department of Education University of CaliforniaIrvine It is all one to me where I begin, for I will return there again in timeParmenides Zeno's paradoxes have been a source of inspiration and bewilderment for almost two and a half thousand years. Indeed, Aristotle considered Zeno of Elea (c. 450 B.C.E.) the father of dialectic, a form of reasoning that does not seem to be unrelated to the logical forms of reasoning underlying mathematical proof. Of all Zeno's paradoxes, the most renown, or at least the most familiar, are his paradoxes of motion. Much lesser known are Zeno's paradoxes of plurality. According to Proclus, Zeno composed as many as forty of these paradoxes, all but three of which have been lost. Here I will be concerned with what has come to be known as Zeno's second paradox of plurality: If there are many, it is necessary that they be as many as they are, neither more nor fewer. But if they are as many as they are, they must be finitely many. If there are many, the existents must be infinitely many. For there are always other existents between existents, and again others between these. And thus the existents are infinitely many. (adapted from Vlastos, p. 371)

93. English : PRESS Zeno s Quantum paradox Reversed Watching A Flying Arrow Increase Its Speed Not only does Zeno s paradox not take effect in such a case but there is http://80.70.129.162/site/en/weizman.asp?pi=371&doc_id=987

94. Zeno's Quantum Paradox Reversed: Watching A Flying Arrow Increase Its Speed For over 2500 years, scientists and philosophers have been grappling with Zenoof Elea s famous paradox. More recently, scientists believed that the http://www.sciencedaily.com/releases/2000/06/000602074805.htm

@import "/styles/navbar.css"; @import "/styles/tabStyles.css"; Set home page Bookmark site Add search Latest News ... Email to friend Text Size A A A Front Page ... Advertise With Us Source Weizmann Institute Date Print this page Email to friend Is motion an illusion? Can"glimpses" freeze radioactive decay? Related News Stories (May 13, 2004) University of Toronto physicists have developed a way to entangle photons which could ultimately lead to an extremely precise new measurement ... full story Fundamental Limitation To Quantum Computers (July 18, 2005) Quantum computers that save their data in so-called quantum bits (or qubits) will be confronted with a fundamental limitation. This is the claim made by Dutch theoretical physicists from the ... full story Quantum Dots Deliver Photons One At A Time (March 1, 2004) A National Institute of Standards and Technology (NIST) scientist has demonstrated efficient production of single photons-the smallest pulses of light-at the highest temperatures reported for the ... full story Quantum Computer Could Solve Problems In A Few Months That Would Take Conventional Computers Millions Of Years (September 13, 2001) How to build a super fast computer that uses the bizarre properties of quantum physics is the aim of a project by computer scientists Fred Chong of the University of California, Davis, Isaac Chuang ...

95. Philosophy: Philosophy-of-logic: Paradoxes Spirit And Sky Zeno s paradox of the Tortoise. Zeno s paradox of the Tortoise. An article inthe Platonic Realms. (Added Thu Jan 01 2004) ID 118712 http://www.spiritandsky.com/philosophy/philosophy-of-logic/paradoxes/

Home philosophy philosophy-of-logic : paradoxes Web www.spiritandsky.com Home Search Suggest a Site Submission Guidelines ... philosophy-of-logic : paradoxes Links: Curry's Paradox Curry's Paradox Discussion of a semantic paradox due to Haskell B. Curry; from the Stanford Encyclopedia by J. C. Beall. (Added: Thu Jan 01 2004) ID 118713 Paradox or Fallacy Paradox or Fallacy A discussion on paradox, with the goal being to determine what is paradox and what is fallacy. (Added: Thu Jan 01 2004) ID 118714 Paradoxes Paradoxes Homepage maintained by Franz Kiekeben, containing short essays on well-known paradoxes, such as Newcomb's paradox. (Added: Thu Jan 01 2004) ID 118706 Paradoxes and Dilemmas Paradoxes and Dilemmas Common paradoxes and dilemmas, particularly of the social type: the Voting Paradox, Prisoner's Dilemma, Newcomb's Paradox, Unexpected Hanging, Execution Paradox, and the Self-Amendment Paradox. (Added: Thu Jan 01 2004) ID 118711 Russell's Paradox Russell's Paradox Entry in the Stanford Encyclopaedia of Philosophy by A. D. Irvine. (Added: Thu Jan 01 2004) ID 118702 Some Endeavours at Synthesising a Solution to the Sorites.

96. Philosophy: Philosophers: Z: Zeno-of-elea Spirit And Sky Zeno s paradox of the Race Course. Zeno s paradox of the Race Course Zeno s paradox of the Tortoise. An article in the Platonic Realms. http://www.spiritandsky.com/philosophy/philosophers/z/zeno-of-elea/

Home philosophy philosophers z : zeno-of-elea Web www.spiritandsky.com Home Search Suggest a Site Submission Guidelines ... z : zeno-of-elea Links: Interactive Real Analysis: Zeno of Elea Interactive Real Analysis: Zeno of Elea Reviews the legacy and what is known of the life of this Presocratic thinker. Summarizes Zeno's four most famous paradoxes. (Added: Thu Jan 01 2004) ID 115900 Stanford Encyclopedia of Philosophy: Zeno's Paradoxes Stanford Encyclopedia of Philosophy: Zeno's Paradoxes Discusses the paradoxes of Zeno of Elea, for example, Achilles and the Tortoise. By Nick Huggett. (Added: Thu Jan 01 2004) ID 115896 Zeno Commentary Zeno Commentary The Fairbanks edition of the fragments and testimonia of Zeno, as drawn from Simplicius, Aristotle and the Doxographists. Part of the Hanover Historical Texts Project. (Added: Thu Jan 01 2004) ID 115902 Zeno of Elea Zeno of Elea Life and work of the Eleatic philosopher, from the Internet Encyclopedia of Philosophy. (Added: Thu Jan 01 2004) ID 115897 Zeno of Elea Zeno of Elea Article from the Catholic Encyclopedia.

97. Sciforums.com - Zeno's Paradox Intelligent community discussion of science, religion, philosophy, and technology. http://www.sciforums.com/showthread.php?t=8426&goto=lastpost

98. Sciforums.com - Zeno's Paradox Intelligent community discussion of science, religion, philosophy, and technology. http://www.sciforums.com/showthread.php?t=8426&page=5

99. Zeno's Paradox - People Mentioned Zeno s paradox. Userati ratings last updated on 28 Apr 2005. Ron Zeno 7 Jonathan Grudin 1 Lyle Kantrovich 1 Jakob Nielsen 1 http://www.usabilityviews.com/userati_zeno.html

Zeno's Paradox - Site Mentions home timeline recent popular ... about Name Mentions on Zeno's Paradox Userati ratings last updated on 28 Apr 2005 Ron Zeno Jonathan Grudin ... Angeles none Timo Arnall none Ricardo Baeza-Yates none Bob Baxley none Dan Beauchamp none Scott Berkun none Mark Bernstein none Nigel Bevan none Peter Bogaards none Danah Boyd none Owen Briggs none Fred Brooks none Bill Buxton none Catriona Campbell none Stuart Card none John Carroll none Steve Champeon none Kevin Cheng none Tom Chi none Tom Coates none Larry Constantine none Alan Cooper none Kara Pernice Coyne none David Crow none Mary Czerwinski none Michael Dertouzos none Dan Diaper none Andrew Dillon none Paul Dourish none Allison Druin none Doug Engelbart none Tom Erickson none Meryl Evans none Xristine Faulker none Louise Ferguson none Nick Finck none Geraldine Fitzpatrick none BJ Fogg none Anne Galloway none Jesse James Garret none Adele Goldberg none Saul Greenberg none Adam Greenfield none Eszter Hargittai none Marti Hearst none Challis Hodge none Adrian Holovaty none Karen Holtzblatt none Molly Holzschlag none William Hudson none Mark Hurst none Keith Instone none Scott Isensee none Dennis Jerz none Matt Jones none Joshua Kaufman none Alan Kay none Steve Krug none Brenda Laurel none Bruce Lawson none Ann Light none Gitte Lindgaard none Lucy Lockwood none Victor Lombardi none Chad Lundgren none Erin Malone none Donna Maurer none Charles Mauro none Deborah Mayhew none Beth Mazur none Gerry McGovern none Madhu Menon none Peter Merholz none Eric Meyer none Lucian Millis none Peter Morville none Joy Mountford none Brad Myers none Carl Myhill none Elizabeth Mynatt none Bonnie Nardi none

100. Archive Of Astronomy Questions And Answers How do you reconcile Zeno s paradox with modern physics? You reconcile it byrefuting Zeno s presumption that nature is infinitely divisible. http://www.astronomycafe.net/qadir/q520.html

How do you reconcile Zeno's paradox with modern physics? You reconcile it by refuting Zeno's presumption that nature is infinitely divisible. We know that at the atomic domain, particles are defined in terms of wave functions which connect all points in spacetime by a 'probability' that a particle will be found there. We also suspect that space-time itself cannot be subdivided below a scale of 10**-33 centimeters at which point space-time becomes a quantum mechanical 'thing' lacking a definite shape. Both of these things differ from Zeno's assumption that space and motion were subdividable infinitely, and it is in the TRUE character of space, time, and motion that the mathematical paradox is resolved once and for all. We do not live in an abstract mathematical universe, but one with lots of 'dirt' and things that go bump in the night!!! Return to Ask the Astronomer

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