1. Russell's Paradox MAY 1 2003. Russell s paradox. Russell s paradox is the most famous of the logical or settheoretical paradoxes. History of the paradox. http://plato.stanford.edu/entries/russell-paradox/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z This document uses XHTML-1/Unicode to format the display. Older browsers and/or operating systems may not display the formatting correctly. last substantive content change MAY Russell's Paradox Russell's paradox is the most famous of the logical or set-theoretical paradoxes. The paradox arises within naive set theory by considering the set of all sets that are not members of themselves. Such a set appears to be a member of itself if and only if it is not a member of itself, hence the paradox. Some sets, such as the set of all teacups, are not members of themselves. Other sets, such as the set of all non-teacups, are members of themselves. Call the set of all sets that are not members of themselves " R ." If R is a member of itself, then by definition it must not be a member of itself. Similarly, if R is not a member of itself, then by definition it must be a member of itself. Discovered by Bertrand Russell in 1901, the paradox has prompted much work in logic, set theory and the philosophy and foundations of mathematics. History of the paradox Significance of the paradox Bibliography Other Internet Resources ... Related Entries History of the paradox Russell appears to have discovered his paradox in the late spring of 1901

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5. Sorites Paradox last substantive content change AUG 1 2002. Sorites paradox. 1213.). 3.5 Embracing the paradox. A final option is to simply embrace the paradox. http://plato.stanford.edu/entries/sorites-paradox/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z This document uses XHTML-1/Unicode to format the display. Older browsers and/or operating systems may not display the formatting correctly. last substantive content change AUG Sorites Paradox This phenomenon at the heart of the paradoxes is now recognised as the phenomenon of vagueness . Once identified, vagueness can be seen to be a feature of syntactic categories other than predicates, nonetheless one speaks primarily of the soriticality of predicates. Names, adjectives, adverbs and so on are only susceptible to paradoxical sorites reasoning in a derivative sense. Sorites arguments of the paradoxical form are to be distinguished from multi-premise syllogisms (polysyllogisms) which are sometimes also referred to as sorites arguments. Whilst both polysyllogisms and sorites paradoxes are chain-arguments, the former need not be paradoxical in nature and the latter need not be syllogistic in form. 1. The Sorites In History 2. Its Paradoxical Forms 3. Responses Bibliography ... Related Entries 1. The Sorites In History soros The Heap It was one of a series of puzzles attributed to the Megarian logician Eubulides of Miletus. Also included were:

6. Paradox Security Systems Ltd - Headquarters Known for being an innovative research and development company, paradox Security Systems is a recognized worldwide force in the security industry. http://www.paradox.ca/

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@import url(misc/drupal.css); @import url(modules/event/event.css); about booking venue press ] Email: unsubscribe Home Events Upcoming Events Always All Ages Start: June 8, 2004 - 8:00pm Location: @ The New Paradox 1401 NW Leary Way, Seattle Cost: FREE Bands: Lahar, A Taste for Murder, The Assailant, and more Line up will be: Lahar, A Taste for Murder, The Assailant, Stop at Nothing, and A Reason for Living Every now and then, a volcano explodes, sending ash into the air, soot into the lungs and lava into nearby villages... it kills all life and demolishes everything in its wake of doom. LAHAR brings that violence to your doorstep. In February of 2003, LAHAR formed from the ashes of two of Seattle's most brutal hardcore bands: Left With Nothing and Contingent. LAHAR is an intelligent and aggressive hardcore-metal hybrid, hellbent on taking over the scene with raw power and making their place in this world as a hard working, take-no-prisoners heavy metal, bone-crushing machine. calendar Always All Ages Start: June 12, 2004 - 8:00pm

8. Paradox -- A First-Order Logic Model Finder paradox Welcome to the homepage of paradox! paradox is a tool that processes firstorder logic problems and tries to find finite-domain models for them. http://www.cs.chalmers.se/~koen/paradox/

Paradox Welcome to the homepage of Paradox! Paradox is a tool that processes first-order logic problems and tries to find finite-domain models for them. Paradox is written by Koen Claessen and Niklas Sörensson News Paradox won the SAT/Models class (generated most models) in the CASC 2003 competetion for first-order logic tools! The current stable version is Paradox v. 1.0-casc . You can download it below. Usage Paradox reads problems in TPTP and Otter syntax. It understands TPTP-style clauses and formulas, and it also supports the TPTP include command. Further, Paradox can read Otter-style clause sets, though only if you switch on prolog_style_variables. Paradox produces one of the following three results: CONTRADICTORY, when it has shown that there is no model, SATISFIABLE, when it has found a model, or INCONCLUSIVE, when it has given up. On request, a list of function and predicate tables over a finite domain can be produced when a model is found. Here is a list of options (which you get when typing paradox help Implementation Paradox is mainly implemented in Haskell , but a part of it is an incremental SAT-solver implemented in C++. They are linked together using Haskell's Foreign Function Interface. The techniques we use in Paradox are described in a

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Main Galleries Newest Shop ... Help available free, due in part to support by this sponsor: Night of the Alignment 1024x768 - 149 KB Welcome to VisualParadox.com Hi-res 3D desktop wallpaper and background screens for a variety of platforms, Free for your personal use (all I ask is that while you are here, check out at least one banner ad.) Your computer background (wallpaper) says a lot about you to everyone who sees it, "oohs" and "ahhs" are a good sign you are impressing people. Look around and find the background wallpaper that will make the time at your computer more enjoyable, and get you some "oohs" and "ahhs" as well. Tip: add this site to your list of favorites, and swap your wallpaper everyday. Click Here add to favorites AOL users drag the little heart icon in the top right of the window onto the "Favorites" folder in your menu bar. When people ask where you found that wallpaper, please give them this address! visualparadox.com Help for First Time Visitors New Images and Notes This Week · · Enter the Wallpaper Galleries · · Frequently Asked Questions ... Art Prints for sale! The Gallery page guest wallpaper, themes, screensavers and other skins!

11. The Possibilities Of FTL: Or Fermi's Paradox Reconsidered Discusses some of the logic behind arguments for and against humans being alone in the universe. http://www.alumni.engin.umich.edu/~fritx/Ftlessay/essay.html

Merideth Naomi is now 15 months old No new pictures posted. Yet. - Fritz. (Aug. 6th, 1998) The Possibilities of FTL: Or Fermi's Paradox Reconsidered by F.E. Freiheit IV When facts are few, speculations are most likely to represent individual psychology. - Carl Jung When you have eliminated the impossible, what is left, no matter how unlikely, is the truth. - Sherlock Holmes/Sir Arthur Conan Doyle There is nothing so big nor so crazy that one out of a million technological societies may not feel itself driven to do, provided it is physically possible. - Freeman J. Dyson 1. Are we alone in the universe? The drive to place humanity at the center of the universe has led to a stream of assumptions that, as facts have been collected, are shown to be ill founded. The Ptolemaic Earth centered view was replaced by Copernican Sun centered view which in its time was also replaced. The assumption that we are alone in the universe is also under threat of replacement. One of the more interesting aspects of our apparent aloneness was pointed out by Enrico Fermi and is know as Fermi's Paradox Fermi's Paradox may be succinctly stated as: Extraterrestrials should have colonized Earth long ago, but they have not. So where are they? Whether you agree with the point that Earth was colonized or not the fact remains that no concrete evidence has ever been found indicating a visitation of Earth by extraterrestrials. This is in itself is a very significant point whose ramifications I intend to explore here.

12. Epimenides An analysis of several attempted resolutions of the Epimenides paradox (also known as the Liar paradox), showing how they all fail. http://www.ocf.berkeley.edu/~sjblatt/notes/nottrue.html

The Epimenides Paradox I read about the Epimenides Paradox in Douglas Hofstadter's fascinating Goedel, Escher, Bach Consider Statement A. Statement A: "Statement A is not true." Is Statement A true? Statement A is not true. Argument 1 explains why. Argument 1: SUPPOSE Statement A is true. Then the proposition that Statement A states is true. But Statement A states that Statement A is not true. So, Statement A is not true, contrary to our initial supposition. So, IN FACT, Statement A is not true. Unfortunately, Statement A can't be not true either. Argument 2: 2.1 SUPPOSE Statement A is not true. 2.2. Then the proposition that Statement A states is not true. 2.3 But Statement A states that Statement A is not true. 2.4 So Statement A is not not true, contrary to our initial supposition. 2.5 So, IN FACT, Statement A is not not true. Your mind should be blown. You should not be saying, "That's puzzling." You should be saying, "My mind is exploding." Argument 1 proves that Statement A is not true. Argument 2 proves that Statement A is not not true. We have proved a contradiction, which is impossible.

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14. The Troublesome Paradox - Per Lundgren Online version of book seeking publication by Per Lundgren. Author attempts to argue that a consequence of Goedel's incompleteness theorem is that we should overturn our current approach to scientific method. http://www.yesgoyes.com/

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15. Paradox Entertainment 200404-22. paradox Entertainment and PAN Vision conclude an important agreement 2004-02-02. paradox Entertainment launches new corporate web site http://www.paradox-entertainment.com/

Profiles About Contact Latest news Paradox Entertainment and PAN Vision conclude an important agreement Crusader Kings goes gold! Paradox Entertainment launches new corporate web site Quick links Conan.com Paradoxplaza.com

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Support Tek-Tips About Us Contact Us Site Policies HANDLE PASSWORD Remember Me Forgot Password? Join Us! Keyword Search ... Browse Forums NEW Tek-Tips Groups Tell A Friend Support Tek-Tips Talk With Other Members Be Notified Of Responses To Your Posts Keyword Search Turn Off Ad Banners One-Click Access To Your Favorite Forums Automated Signatures On Your Posts Best Of All, It's Free! E-mail* Handle Select A Type MIS IS/ITManagement Programmer ISP Instructor Vendor TechnicalUser Password Verify P'word *Tek-Tips's functionality depends on members receiving e-mail. By registering you are opting in to receive e-mail. "Best Of Breed" Forums Add Stickiness To Your Site (Download This Button Today!) "...This site is awesome!...Things I have been trying to figure out for weeks, I got the answer in hours!..." More... TopXML Planet Source Code DevGuru ... Tek-Tips Forums Search Find A Forum Find An Expert Home Forums Programmers DBMS Packages Corel: Paradox Forum (2905 members) Start A New Thread or Click on Subject Lines to View Threads. DLDavis (TechnicalUser) responses 6/6/04 (posted 6/6) Use p9 or wp9?

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18. UFO Skeptic Suggests that aliens might be preparing mankind for the eventuality of meeting species from other worlds. http://www.ufoskeptic.org/contact.html

ufoskeptic.org Fermi's Paradox and the Preparation for Contact Hypothesis The famous physicist, Enrico Fermi, was referring to such an argument when he asked: "Where are they?" Since he was a prominent (and very smart) scientist, his simple question has been given a duly profound name: Fermi's paradox. The paradox is resolved, of course, if the answer is: "Well, they are already here!" (and possibly have been for a very long time and perhaps have even been involved in the rather sudden emergence of homo sapiens sapiens, but that may be over the top, so ignore that last conjecture if it is too much, though I seem to recall that even Sagan considered that possibility at some point). Their being here but surreptitiously would answer Fermi and at the same time address a second common objection to the UFO phenomenon by scientists: that the observations indicate such utterly nonsensical, bizarre behaviour that it just could not possibly be real. Intelligent visitors just would not pull such disreputable antics as have been reported. It is tempting to argue, as some do, that since the visitors are not behaving like proper alien explorers, there are no visitors in the first place. (For some reason this logic brings to mind Galileo attempting to get the Cardinals to look through his telescope.) To counter this argument, I would like to suggest one possible rationale that might, in principle at least (no real world guarantees), account for the widespread, disjoint kind of behavior that the UFO phenomenon has manifested over 50 years. The reason for proposing this "preparation for contact hypothesis" (which is certainly no original idea of mine) is simply to facilitate a "suspension of disbelief" so that the UFO evidence can be confronted on its own terms without the mental roadblock that the phenomenon violates all common sense, or more precisely the common sense of modern western society, and that of the scientific community in particular, and hence cannot be real.

19. Game's Home Page A site about Parrando's paradox alternating two losing games yield a winning game. http://seneca.fis.ucm.es/parr/GAMES

Parrondo's paradoxical games by Juan M.R. Parrondo The original games in brief. A detailed discussion. Papers and links on Brownian ratchets. (go here for a complete list of links related with Parrondo's and Braess' paradoxes) Press releases. The seminal document on the games.

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Search Your browser does not support script //create function to get next or prev function document.getElementById("trainingdata").innerHTML= aryHTML[0]; document.getElementById("resourcedata").innerHTML= aryHTML2[0]; Scheduled Courses Learn More Learn More Learn More ... Contact Us ©2003 AccessData Corp. legal notices

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