61. Paradox Homepage paradox is a realtime talker supporting the gay, lesbian, bisexual, transgendered community, and friends. Chat with people from all around the world in a friendly and supportive environment. http://paradox.talker.com/

We have MOOOOVED! Find us now at www.geocities.com/doxer4life. This page will take you there in 5 seconds.

62. The Light Cone: Twin Paradox Applet The Light Cone Twin paradox Applet. This requires a JAVAenabled browser. In order to see the associated tutorial, you need a frames-capable browser. http://physics.syr.edu/courses/modules/LIGHTCONE/java/TwinParadox.html

The Light Cone: Twin Paradox Applet This requires a JAVA-enabled browser. In order to see the associated tutorial, you need a frames-capable browser. If you don't have one, you can access the applet itself: Twin Paradox Applet Last modified: Sun Apr 16 14:33:23 2000

63. Peter Suber, Paradox Of Self-Amendment, Table Of Contents The paradox of omnipotence, the barber, and the liar Attempts to Dissolve the paradox SelfEmbracing Omnipotence and Specific Authorization (22.5k) http://www.earlham.edu/~peters/writing/psa/

The Paradox of Self-Amendment: A Study of Law, Logic, Omnipotence, and Change Peter Suber Philosophy Department Earlham College This book was originally published by Peter Lang Publishing, 1990. It is now out of print. Peter Suber Table of Contents Now searchable Preface to the Print Edition Why bother? Outline ... Bibliography Index I omit the index from this HTML edition. Search the online edition of this book. Multiple words are linked by the selected Boolean operator. Word fragments return all completions, e.g. amend returns amend amends amended amending amendment and so on. Your search string Boolean AND OR Case insensitive sensitive Peter Suber Department of Philosophy Earlham College , Richmond, Indiana, 47374, U.S.A. peters@earlham.edu

64. Zeno And The Paradox Of Motion We arrive at Zeno s paradox only when these arguments against infinite This resolution of the paradox of motion presumably never occurred to Zeno, http://www.mathpages.com/rr/s3-07/3-07.htm

3.7  Zeno and the Paradox of Motion The Eleatic school of philosophers was founded by the religious thinker and poet Xenophanes (born c. 570 BC), whose main teaching was that the universe is singular, eternal, and unchanging.  "The all is one."  According to this view, as developed by later members of the Eleatic school, the appearances of multiplicity, change, and motion are mere illusions.  Interestingly, the colony of Elea was founded by a group of Ionian Greeks who, in 545 BC, had been besieged in their seaport city of Phocaea by an invading Persian army, and were ultimately forced to evacuate by sea.  They sailed to the island of Corsica , and occupied it after a terrible sea battle with the navies of  Carthage and the Etruscans.  Just ten years later, in 535 BC, the Carthagians and Etruscans regained the island, driving the Phocaean refugees once again into the sea.  This time they landed on the southwestern coast of Italy and founded the colony of Elea , seizing the site from the native Oenotrians.  All this happened within the lifetime of Xenophanes, himself a wandering exile from his native city of

65. The Paradox Of The Best Network The situation has been shaped by a paradox inherent in the very nature of the We can see from the reaction to today s Internet that the paradox of the http://netparadox.com/

The Paradox of the Best Network David Isenberg and David Weinberger The communications revolution has been thwarted Just a few short months ago, it seemed that humanity stood on the edge of a communications revolution.  New technology promised to topple barriers of space and time. We were on the verge of inventing new ways for the world to work and play together. We were giddy with possibility. Now a grim face replaces yesterday's optimism. Prospects of new connectedness recede as capital markets tighten, existing telephone companies back off on capital expenditures, established communications equipment suppliers falter, and ambitious new telecom companies fail. But not by technology Despite the darkened outlook, new communications capabilities are within reach that will make the current Internet look like tin cans and string. The technical know-how exists. Radically simplified technologies can blast bits a million times faster than the current network at a millionth of the cost.  These are sitting in laboratories undeveloped, in warehouses undeployed , and in the field underutilized.

66. Cantor's Donut Paradox Reassessing Uncountability and the Continuum Hypothesis with Reference to a Novel Geometrical Analogue of the Aleph Series. http://www.cantorsdonutparadox.co.uk/

cantorsdonutparadox.co.uk UNDER CONSTRUCTION For more information contact webmaster@cantorsdonutparadox.co.uk Is your domain name available? .biz .br.com .cn.com .co.uk .com .de.com .eu.com .gb.com .gb.net .hu.com .info .jpn.com .me.uk .name .net .no.com .org .org.uk .qc.com .ru.com .sa.com .se.com .se.net .uk.com .uk.net .us .us.com .uy.com .web.com .za.com

67. The Paradox Of The Best Network The situation has been shaped by a paradox inherent in the very nature of the new technology The paradox means that companies that run the old, closed, http://netparadox.com/netparadox.html

The Paradox of the Best Network David Isenberg and David Weinberger The communications revolution has been thwarted Just a few short months ago, it seemed that humanity stood on the edge of a communications revolution.  New technology promised to topple barriers of space and time. We were on the verge of inventing new ways for the world to work and play together. We were giddy with possibility. Now a grim face replaces yesterday's optimism. Prospects of new connectedness recede as capital markets tighten, existing telephone companies back off on capital expenditures, established communications equipment suppliers falter, and ambitious new telecom companies fail. But not by technology Despite the darkened outlook, new communications capabilities are within reach that will make the current Internet look like tin cans and string. The technical know-how exists. Radically simplified technologies can blast bits a million times faster than the current network at a millionth of the cost.  These are sitting in laboratories undeveloped, in warehouses undeployed , and in the field underutilized.

68. Model Theory. Goedel's Completeness Theorem. Skolem's Paradox. Ramsey's Theorem. Introductory essay by Karlis Podnieks, constituting appendices 1 and 2 of his book `Around Goedel's Theorems'. http://www.ltn.lv/~podnieks/gta.html

model theory, Skolem paradox, Ramsey theorem, Loewenheim, categorical, Ramsey, Skolem, Gödel, completeness theorem, categoricity, Goedel, theorem, completeness, Godel Back to title page Left Adjust your browser window Right Appendix 1. About Model Theory Some widespread Platonist superstitions were derived from other important results of mathematical logic (omitted in the main text of this book): Goedel's completeness theorem for predicate calculus, Loewenheim-Skolem theorem, the categoricity theorem of second order Peano axioms. In this short Appendix I will discuss these results and their methodological consequences (or lack of them). All these results have been obtained by means of the so-called model theory . This is a very specific approach to investigation of formal theories as mathematical objects. Model theory is using the full power of set theory. Its results and proofs can be formalized in the set theory ZFC Model theory is investigation of formal theories in the metatheory ZFC. The main structures of model theory are interpretations . Let L be the language of some (first order) formal theory containing constant letters c , ..., c

69. Liar Paradox [Internet Encyclopedia Of Philosophy] The Liar paradox has been discussed continually in philosophy since the middle The Strengthened Liar paradox begins with the Strengthened Liar Sentence http://www.iep.utm.edu/p/par-liar.htm

Liar Paradox The Liar Paradox is an argument that arrives at a contradiction by reasoning about a Liar Sentence. The classical Liar Sentence is the following self-referential sentence: (1) This sentence is false. Experts in the field of philosophical logic have never agreed on the way out of the trouble despite 2,300 years of attention. Here is the troublea sketch of the Liar Argument that reveals the contradiction: The argument depends upon a few more assumptions and steps, but these are apparently as uncontroversial as those above. The contradictory result throws us into the lion's den of semantic incoherence. This article explores the details of the principal attempts to resolve the paradox. Most logical paradoxes are based on circular definitions or self-referential statements, and the liar paradox is no exception. Many people, when first encountering the Liar Paradox, will react by saying that the Liar Sentence must be meaningless. This popular solution does stop the argument of the paradox, but it isn't an adequate solution if it answers the question, "Why is the Liar Sentence meaningless?" simply with the ad hoc remark, "Otherwise we get a paradox." An adequate solution would offer a more systematic treatment. For example, the sentence, "This sentence is in English," is very similar to the Liar Sentence. Is it meaningless, too? What ingredients of the Liar Sentence make it meaningless such that other sentences with those same ingredients will also be meaningless? Are disjunctions with the Liar Sentence also meaningless? The questions continue, and an adequate solution should address them systematically.

70. Return Path To Eden Includes five essays which summarize the Aquarian Gospel, the book that reunifies Judaism and Christianity. Also includes the entire text of the Aquarian Gospel, which purports to reveals the teachings of Jehoshua the prophet. http://home.netcom.com/~mokeeffe/

Welcome to Return Path to Eden A message from the Sounds of Silence By Michael F. O’Keeffe Announcement There has been a Thunderous Silent Blast from a Silent Trumpet. God has given us a new book of Scripture: The Aquarian Gospel of Jesus the Christ Transcribed by Levi H. Dowling This Newest Testament is given to us to help us prepare. Below is a book review, based on a 22-year study. This review is a summary of the book that re-unifies Judaism and Christianity; and unites all cultures and traditions, which cherish truth, kindness, peace, decency and liberty; and clearly explains why all human beings are God’s Children. The Aquarian Gospe l tells us how to prepare for the coming terrible turbulent times and Judgment Day. This book tells us how to overcome This precious book is nothing less than “The Little Book” – described in Revelation 10 Levi’s sacred transcript discloses many mystical mysteries, and these disclosures are sweet to consume, but bitter to digest (during these times of Revelations Preliminary Comments The Review In this astounding sacred text, Jesus reveals that

71. Russell's Paradox [Internet Encyclopedia Of Philosophy] Russell s paradox represents either of two interrelated logical antinomies. The paradox was named after Bertrand Russell, who discovered it in 1901. http://www.iep.utm.edu/p/par-russ.htm

Russell's Paradox Russell's paradox represents either of two interrelated logical antinomies. The most commonly discussed form is a contradiction arising in the logic of sets or classes. Some classes (or sets) seem to be members of themselves, while some do not. The class of all classes is itself a class, and so it seems to be in itself. The null or empty class, however, must not be a member of itself. However, suppose that we can form a class of all classes (or sets) that, like the null class, are not included in themselves. The paradox arises from asking the question of whether this class is in itself. It is if and only if it is not. The other form is a contradiction involving properties. Some properties seem to apply to themselves, while others do not. The property of being a property is itself a property, while the propery of being a cat is not itself a cat. Consider the property that something has just in case it is a property (like that of being a cat ) that does not apply to itself. Does this property apply to itself? Once again, from either assumption, the opposite follows. The paradox was named after Bertrand Russell, who discovered it in 1901. Table of Contents (Clicking on the links below will take you to those parts of this article) 1. History

72. Introduction To Gnosis #20 An article by Richard Smoley on the historical Gurdjieff and his teachings. Originally published in Gnosis magazine. http://www.lumen.org/intros/intro20.html

Meetings With a Remarkable Paradox by Richard Smoley He was by any account one of the most remarkable men the human race has produced. His name was George Ivanovich Gurdjieff (pronounced "gur-jeef" or "gur-jeff"), and he proved to be one of the most challenging, paradoxical, and enigmatic spiritual teachers of our time. His principal biographer called him "a fraud, a liar, a cheat, a scoundrel" - and then went on to note his "sympathy, compassion, charity," and his "eccentric code of honor."1 He is chiefly remembered for imparting, through the most extraordinary and difficult methods, the fundamentals of an esoteric system known as the Fourth Way - also called, austerely, "the Work." What is this Fourth Way? Gurdjieff said there were three comparatively common ways to spiritual attainment: the way of the fakir, that is, the man who masters his physical organism to the point where he can, say, stand "motionless in the same position for hours, days, months, or years."2 The second is the way of the monk, the man who masters his emotions through prayer and devotional practices. The third way is the way of the yogi, the man who gains control of his mind. Yet, Gurdjieff believed, none of these ways is complete in itself. A man, for example, may master his mind - he may genuinely know something - but may be incapable of putting it into action. Or his emotions may be developed, but his intellect may remain at a primitive state. To compound these difficulties, each of these first three ways requires withdrawal from the world, from day-to-day life.

73. Paradox -- From MathWorld 5) uses the term pseudoparadox to describe an apparent paradox for which, however, Kasner, E. and Newman, JR paradox Lost and paradox Regained. http://mathworld.wolfram.com/Paradox.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Logic Paradoxes Paradox A statement which appears self-contradictory or contrary to expectations, also known as an antinomy . Curry (1977, p. 5) uses the term pseudoparadox to describe an apparent paradox for which, however, there is no underlying actual contradiction. Bertrand Russell classified known logical paradoxes into seven categories. Ball and Coxeter (1987) give several examples of geometrical paradoxes. SEE ALSO: Allais Paradox Aristotle's Wheel Paradox Arrow's Paradox Banach-Tarski Paradox ... [Pages Linking Here] REFERENCES: Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 84-86, 1987. Bunch, B. Mathematical Fallacies and Paradoxes. New York: Dover, 1982. Carnap, R. Introduction to Symbolic Logic and Its Applications.

74. French Paradox: Health, Beauty Benefits Of Wine And Olive Oil Toutes les vertus sant© et beaut© du vin et de l'huile d'olive recettes exclusives, interviews de personalit©s et bonnes adresses. Multilingue fr/en/ja/pt. http://www.frenchedonist.com/

Give the gift of hedonism EXCLUSIVE RECIPES FROM THE FRENCH PARADOX This month, Lamb Chops Champvallon THE HEDONISTS OF THE MONTH Louis Orenga de Gaffory Cristina Zuccari Olivier Robert- Murphy Alexandra Peyromaure ... Christophe Malavoy THE CHEF OF THE MONTH Anne-Sophie Pic Daniel Boulud Michel Bras Alain Passard ... Daniel Hébet YOU TOO CAN BE A FRENCH HEDONIST To keep informed about the latest news , interviews and reviews on this site, give us your e-mail address HEDONISM FOR BEGINNERS 11 steps to a more pleasurable life Visit our ... French Olive Oil specialists WINE AND HEALTH - Is wine good for your health? - The book "Wine and Health" gives the answers! Visit an ... , Auvers-sur-Oise W H O I S F R E N C H P A R A D O X ? The team Doctor paradox It might seem a paradox , but studies have shown that some of the most pleasurable ingredients of the traditional French diet, including

75. Epimenides Paradox -- From MathWorld A version of the liar s paradox, attributed to the philosopher Epimenides A sharper version of the paradox (which has no such loophole) is the Eubulides http://mathworld.wolfram.com/EpimenidesParadox.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Logic Paradoxes Epimenides Paradox A version of the liar's paradox , attributed to the philosopher Epimenides in the sixth century BC . "All Cretans are liars...One of their own poets has said so." This is not a true paradox since the poet may have knowledge that at least one Cretan is, in fact, honest, and so be lying when he says that all Cretans are liars. There therefore need be no self-contradiction in what could simply be a false statement by a person who is himself a liar. A sharper version of the paradox (which has no such loophole) is the Eubulides paradox , "This statement is false." SEE ALSO: Eubulides Paradox Liar's Paradox Socrates' Paradox [Pages Linking Here] REFERENCES: Curry, H. B. Foundations of Mathematical Logic. New York: Dover, pp. 5-6, 1977. Erickson, G. W. and Fossa, J. A.

76. Document Recovery To fix corrupted documents at low cost http://documentrecovery.dwarfparadox.com.au/

H ave you ever been frustrated by documents becoming currupt? Loosing days or even months worth of work? We know how frustrating it can be as we have experienced it ourselves. You have spent hours, days, maybe even months working on a document, and one day it will not open anymore. It has somehow become corrupt, and probably not by your doing. The best way to prevent this from happening is to keep your files backed up. But what do you do if a backup doesn't exist, or if the backup is also corrupt? Fortunately, many files can be recovered, but the cost of recovery is often high. Therefore, we have created a service aimed at making life easier for the majority of people. We have chosen the most popular forms of documentation used today, and created a flat rate service for fixing the most common problems encounted. We are here to help. For more information please

77. Olbers' Paradox Olbers paradox. Why isn t the night sky as uniformly bright as the surface of This is Olbers paradox. It can be traced as far back as Kepler in 1610, http://math.ucr.edu/home/baez/physics/Relativity/GR/olbers.html

[Physics FAQ] Updated 2004 by JCB. Original by Scott I. Chase. Olbers' Paradox Why isn't the night sky as uniformly bright as the surface of the Sun? If the Universe has infinitely many stars, then it should be. After all, if you move the Sun twice as far away from us, we will intercept one quarter as many photons, but the Sun will subtend one quarter of the angular area. So the areal intensity remains constant. With infinitely many stars, every angular element of the sky should have a star, and the entire heavens should be as bright as the sun. We should have the impression that we live in the center of a hollow black body whose temperature is about 6000 degrees Celsius. This is Olbers' paradox. It can be traced as far back as Kepler in 1610, and was rediscussed by Halley and Cheseaux in the eighteen century; but it was not popularized as a paradox until Olbers took up the issue in the nineteenth century. There are many possible explanations which have been considered. Here are a few: There's too much dust to see the distant stars.

78. Mark's Paradox Page Another of Zeno s paradoxes, the Arrow paradox, also illustrates the This paradox is part of the work of Werner Heisenberg, who was awarded the 1932 http://www.geocities.com/CapitolHill/Lobby/3022/

These are old fond paradoxes to make fools laugh i' the alehouse. - Othello, Act 1, Scene 1 Paradoxes are as old as humankind. The ancient Greeks studied them intensely which eventually helped lead to the discovery of irrational numbers, and paradoxes are mentioned in the Bible: "It was one of their own prophets who said 'Cretans were never anything but liars, dangerous animals, all greed and laziness;' and that is a true statement." (Titus 1:12-13) Even today, we are surrounded by paradoxes such as Blackwood's "the more terrible the prospect of thermonuclear war becomes the less likely it is to happen," or the Moebius Strip - a topological paradox. For this article, we define a paradox as a statement or sentiment that is seemingly contradictory or opposed to common sense and yet is perhaps true in fact. Another way of thinking of a paradox is a statement that is actually self-contradictory and hence false even though its true character is not immediately apparent. One of the oldest paradoxes is the one cited by the Apostle Paul in his letter to Titus (see above.) The Liar Paradox is interesting because it cannot be true because it would make the speaker a liar and therefore what he says is false. Neither can it be true because that would imply that Cretans are truth-tellers, and consequently what the speaker says would be true. (For classic

79. Russell's Paradox [Internet Encyclopedia Of Philosophy] Examines selfreferential linguistics used to describe properties and sets. http://www.utm.edu/research/iep/p/par-russ.htm

Russell's Paradox Russell's paradox represents either of two interrelated logical antinomies. The most commonly discussed form is a contradiction arising in the logic of sets or classes. Some classes (or sets) seem to be members of themselves, while some do not. The class of all classes is itself a class, and so it seems to be in itself. The null or empty class, however, must not be a member of itself. However, suppose that we can form a class of all classes (or sets) that, like the null class, are not included in themselves. The paradox arises from asking the question of whether this class is in itself. It is if and only if it is not. The other form is a contradiction involving properties. Some properties seem to apply to themselves, while others do not. The property of being a property is itself a property, while the propery of being a cat is not itself a cat. Consider the property that something has just in case it is a property (like that of being a cat ) that does not apply to itself. Does this property apply to itself? Once again, from either assumption, the opposite follows. The paradox was named after Bertrand Russell, who discovered it in 1901. Table of Contents (Clicking on the links below will take you to those parts of this article) 1. History

80. Paradox Interactive Forums - Powered By VBulletin This is a discussion forum for Diplomacy, Crusader Kings, Hearts of Iron, Victoria and Europa Universalis. http://forum.paradoxplaza.com/forum/

Paradox Interactive Forums User Name Remember Me? Password Register FAQ Forum Rules Members List ... Mark Forums Read Welcome to the Paradox Interactive Forums. If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. Forum Last Post Threads Posts Moderator Announcements from Paradox Interactive Sub-Forums General Announcements DIPLOMACY release in October by Susana Paradox Online Shop Sub-Forums To the e-shop verification denied by Flori Today Flori Paradox Games (20 Viewing) Sub-Forums Diplomacy Hearts of Iron 2 Crusader Kings Victoria ... Best Brigade? by Today Third Party Titles Sub-Forums Galactic Civilizations II Knights of Honor Holy Rome mod, version 1.6 by elvain Today Fredrik II Non-English forums (23 Viewing) Here you can discuss all our games in German, French or Spanish Sub-Forums Foros Españoles Forum Francophone Deutsches Forum Born to be Wild! IbAARategui... by DiodonFR Today Fun Forums (52 Viewing) Sub-Forums AARs and Fanfiction - General Discussions Online RPG's History Forums The Route to Restore Hungary!

Page 4     61-80 of 176    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | Next 20