81. Russell's Paradox, Major League Version - Statistical Modeling, Causal Inference Russell s paradox, major league version. By Andrew Gelman on December 7, 2009 3 56 AM 2 Comments From Ubs How fast is Rickey? http://www.stat.columbia.edu/~cook/movabletype/archives/2009/12/russells_parado.

82. Russell's Paradox In Appendix B Of The Principles Of Mathematics : Was Frege's R In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered http://www.informaworld.com/smpp/300091057-2951433/content~db=all~content=a71381

83. Russell's Paradox No More! Good news! I was just driving around after having done some posting and I realized something. I know the solution to Russell s paradox! I only just. http://www.toequest.com/forum/noumena/1314-russells-paradox-no-more.html

84. Abstract Math: Sets: Russell's Paradox Apr 15, 2008 Consequences of Russell s Paradox. We now know that setbuilder notation can t be depended on to give a set. To get around this difficulty, http://www.abstractmath.org/MM/MMRussellsParadox.htm

MPBodyInit('MMRussellsParadox_files') abstractmath.org help with abstract math Produced by Charles Wells. Home Website Contents    Website Index   Posted 15 April 2008 SETS: RUSSELL’S PARADOX The setbuilder notation has a bug: for some assertions P(x), the notation MPSetEqnAttrs('eq0001','',3,[[46,15,5,-1,-1],[58,19,6,-1,-1],[75,24,7,-1,-1],[65,22,7,-1,-1],[87,28,9,-1,-1],[110,35,11,-1,-1],[183,57,18,-2,-2]]) does not define a set MPSetEqnAttrs('eq0001','',3,[[46,15,5,-1,-1],[58,19,6,-1,-1],[75,24,7,-1,-1],[65,22,7,-1,-1],[87,28,9,-1,-1],[110,35,11,-1,-1],[183,57,18,-2,-2]]); MPNNCalcTopLeft(document.mpeq0001ph,'') MPDeleteCode('eq0001') Example Let P(x) be the assertion "x is a set ".  Then if MPSetEqnAttrs('eq0002','',3,[[69,15,5,-1,-1],[89,19,6,-1,-1],[113,24,7,-1,-1],[100,22,7,-1,-1],[133,28,9,-1,-1],[168,35,11,-1,-1],[279,57,18,-2,-2]])  were a set , it would be the set of all set s . However, there is no such thing as the set of all sets . This can be proved using the theory of infinite cardinals, but not here .   (See the discussion following Theorem 5 in Suber’s presentation of set theory MPSetEqnAttrs('eq0002','',3,[[69,15,5,-1,-1],[89,19,6,-1,-1],[113,24,7,-1,-1],[100,22,7,-1,-1],[133,28,9,-1,-1],[168,35,11,-1,-1],[279,57,18,-2,-2]]);

85. JSTOR: An Error Occurred Setting Your User Cookie Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.jstor.org/stable/2216146

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86. Russell`s Paradox And The Execution Of Saddam Hussein From Planck's Constant Dec 29, 2006 It was during this time that I came across Russell s Paradox and other seeming contradictions. Here is the Unexpected Hanging Paradox http://plancksconstant.org/blog1/2006/12/russells_paradox.html

Russell`s Paradox and the Execution of Saddam Hussein By Bernie on 29 Dec 2006 W ARNING - This does not shut off at the neck-tying so you will see Saddam dropping. The judge who sentenced Saddam Hussein to die within 30 days certain could have made it more interesting if he added this fillip: "And it will be on a day that you do not expect it." As to why this could be fun, a little background first. In 1966 I was sitting in a class at the Hebrew University in Jerusalem studying the Foundations of Mathematics taught entirely in Hebrew (which language I had just started learning the year before). It was the most fascinating course I had ever studied and the most revealing about the very structure and nature of existence itself: that mathematical objects exist independently of human observation and that rather than being the creators of these objects we humans merely discover them. It was during this time that I came across Russell's Paradox and other seeming contradictions. Here is the Unexpected Hanging Paradox: A man condemned to be hanged was sentenced to die within 30 days. The prisoner was told by the judge that he would be hanged at noon on one of the next 30 days and on a day that he would not be expecting it. The judge promised that this execution would be followed exactly to these two conditions.

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