61. Re Tegmark S TOE Cantor S Absolute Infinity Re Tegmark s TOE Cantor s Absolute Infinity. Tim May Mon, 23 Sep 2002 1231 36 0700. On Monday, September 23, 2002, at 1134 AM, Hal Finney wrote I http://www.mail-archive.com/everything-list@googlegroups.com/msg03996.html

62. THE CANTOR DIAGONAL ARGUEMENT APPLIED TO A BINARY TREE This article is written at a layman s level, and hopefully will provide even strong supporters of Cantor s views of infinity a reason to ponder some of http://www.1001books.com/cantor.aspx

63. LogBlog: Videos Of Lectures | Richard Zach | Philosophy | University Of Calgary John H. Conway has some lectures, given at Northwestern University, on his webpage http//www.math.princeton.edu/facultypapers/Conway/ Some are logicrelated. ( Cantor's Infinities http://www.ucalgary.ca/~rzach/logblog/2007/04/videos-of-lectures.html

64. Georg Cantor And Infinity « Where The Arts Meet The Sciences Feb 11, 2009 Today Cantor is regarded as one of the most important mathematicians to ever work. His ideas regarding infinity are deeply philosophical and http://richbeveridge.wordpress.com/2009/02/11/georg-cantor-and-infinity/

Home About Where the Arts Meet the Sciences A MathBlog Feeds: Posts Comments Georg Cantor and Infinity February 11, 2009 by richbeveridge Georg Cantor was an important mathematician who lived during the late 19th century.  He devised a method for comparing different sizes of infinite quantities and demonstrated that there were differnet sizes of infinite sets. But, you can create a one-to-one correspondence between the coutning numbers and the even numbers. 1 (in the counting numbers) matches up with 2 (in the even numbers) 2 (in the counting numbers) matches up with 4 (in the even numbers) 3 matches up with 6 4 matches up with 8 and so on.  Any counting number N will match up with 2N in the set of even numbers. aleph null Diagonal Proof is actually fairly simplistic. Today Cantor is regarded as one of the most important mathematicians to ever work.  His ideas regarding infinity are deeply philosophical and have had a profound impact on mathematics, science and philosophy. Posted in 19th Century Mathematicians 2 Responses on October 16, 2009 at 2:18 PM

65. Mystery Of The Aleph: Mathematics, The Kabbalah, And The Search For Infinity, Th Here Aczel introduces notion of the intense light of the infinity of God as a metaphor for the wonder of Cantor's infinities. The metaphor continues with good effect throughout the http://findarticles.com/p/articles/mi_qa3950/is_200104/ai_n8950858/

BNET Log In Join Search All of BNET Publications Library Home Commentary Leadership Life at Work ... Newspaper Collection document.cookie='MAD_FIRSTPAGE=1;path=/;domain=findarticles.com'; Reference Publications Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity, The Mathematics and Computer Education Spring 2001 by Rauff, James V Next (ProQuest Information and Learning: Foreign characters omitted.) THE MYSTERY OF THE ALEPH: MATHEMATICS, THE KABBALAH, AND THE SEARCH FOR INFINITY by Amir Aczel Four Walls Eight Windows, New York, NY, 258 pp., 2000 Seeing a marked increase in the number of books on mathematics written for the general populace and published in the past few years has been nice, seeing so many of them take a historical view is even more exciting. The Mystery of the Aleph is a fine addition to this collection. Amir Aczel's topic is Georg Cantor and his discovery/invention of transfinite numbers. The book is a well-written nontechnical introduction to Cantor's life, set theory, transfinite numbers, the continuum hypothesis, and related mathematical and historical issues. While staying true to the mathematics Amir Aczel has written The Mystery of the Aleph with the attention to suspense and character development of a skilled story-teller. The story begins with Cantor's death in a university mental clinic in 1918. Like a fine mystery writer Aczel draws us into the tale by concluding a short (9 pages) first chapter with the following:

66. CantorLegacy < Main < TWiki Aug 11, 2010 The first infinity is the size of countably infinite sets, called . Other infinities are. Cantor wanted to show that the number of reals was http://server251.theory.cs.cmu.edu/twiki/bin/view/Main/CantorLegacy

@import url('/twiki/pub/TWiki/TWikiTemplates/base.css'); @import url('/twiki/pub/TWiki/PatternSkin/layout.css'); @import url('/twiki/pub/TWiki/PatternSkin/style.css'); @import url('/twiki/pub/TWiki/PatternSkin/colors.css'); @import url("/twiki/pub/TWiki/PatternSkin/print.css"); @import url("/twiki/pub/TWiki/TagMePlugin/tagme.css"); Tags: create new tag view all tags Cantor's Legacy: Infinity and Diagonalization Georg Cantor (1845-1918) The Ideal Computer The ideal computer has infinite memory. There are two ways to look at this: Aristotelian version: Whenever you run out of memory, the computer contacts the factory. A maintenance person is flown in by helicopter and attaches 100 Gigs of RAM and all programs resume their computations, as if they had never been interrupted. When a program is running on the ideal computer, there is no bound on the amount of memory and no bound on the amount of time. You can run a Java program and never have any overflow, or out of memory errors. An ideal computer can be programmed to print out: Computable and Describable Numbers We say that program prints out the infinite sequence if, when

67. Northwestern University Mathematical Calendar Title Thinking About Mathematics (and Many Other Things) Cantor's Infinities Special Note Nemmers Prize Lectures 3 Abstract and details available http://www.math.northwestern.edu/calendar/list.cgi?seminar=Special Seminar&d

68. Satan, Cantor, And Infinity And Other Mind-Boggling Puzzles » LoveGuests Mar 15, 2010 Raymond M. Smullyan, Satan, Cantor, And Infinity and Other MindBoggling Puzzles Knopf 1992 ISBN 0679406883 270 pages Djvu 1,8 MB http://loveguests.com/books/hobbies/1321-satan-cantor-and-infinity-and-other-min

69. Georg Cantor And Infinity | Dora Badollet Library Feb 11, 2009 Today Cantor is regarded as one of the most important mathematicians to ever work. His ideas regarding infinity are deeply philosophical and http://clatsopcclibrary.org/node/224

70. Just Adventure+ Forum - A Simple Problem Or can you use Cantor's infinities type of proof by looking for a oneto-one correspondence between elements in the two sets each distance for the worm and each length of the band http://justadventure.com/yabb/YaBB.pl?num=1080235090/29

71. The Infinite Hotel [dive Into Mark] Dec 4, 2003 (cantor, infinity, math). Imagine a hotel with an infinite number of .. That s the whole reason for Cantor s convoluted relocations, http://diveintomark.org/archives/2003/12/04/infinite-hotel

dive into mark December 4, 2003 The infinite hotel cantor infinity math The answer: take the guest currently in room 1 and move him to room 2. Take the guest currently in room 2 and move him to room 3. And so forth. Put the new guy in room 1. Infinity + 1 is still infinity. There are just as many integers from 1 to infinity as there are from 2 to infinity. If any finite number of new guests show up at the hotel, you can accommodate all of them. countably Now imagine the same hotel, same situation, all rooms are full, and an infinite number of Infinity Tour Buses all show up at the same time. The tour buses are numbered 1, 2, 3 and so on forever, and each of the buses has an infinite number of passengers sitting in seats 1, 2, 3 and so forth. S Infinity squared is still infinity. Each passenger can be thought of as a rational number, with the bus number in the numerator and the seat number in the denominator, and there are as many rational numbers as there are natural numbers. There are also as many prime numbers as there are natural numbers. So this is really the same problem as the previous one, where an infinite number of people showed up on foot, but with slightly trickier math for the desk manager. Poor guy. But not all infinities are the same.

72. Paranoia Is A Heightened State Of Awareness | MetaFilter Math Cantor's infinities (never intuitive), Godel's incompleteness theorem, algebraic topology (trying to understand, at a snail pace , what Grothendieck was up to http://www.metafilter.com/75537/Paranoia-is-a-heightened-state-of-awareness

skip to main content MetaFilter AskMeFi Projects ... New User Tags: bizarre amokbooks esoterica occult ... amok Paranoia is a heightened state of awareness October 9, 2008 8:07 PM Subscribe The fringes of knowledge Amok publishers specializes in collecting the finest of esoterica. Back before the Internet had everything, people with deviant tastes would have to rely on mail order catalogs such as Amok. It has published a compendium of bizarre books known as Dispatches since the 80s. I managed to bump into this book at the University library. I also wasted half a day savoring the ridiculous annotations and drawings. Here are some reviews that hype it: "The Amok catalog is required reading for all information junkies, mutants, lunatics and anybody else interested in exploring worlds and ideas never seen... A side effect of reading the Amok catalog is that it could make you reconsider the very nature of imagination, freedom and possibility." – San Francisco Chronicle "Amok is the research guide to all the sordid thoughts you'd never discuss at lunch... the index of all that we hold obscure, perverse, and dear." – Esquire "You think you're postmodern. You give to your local National Public Radio station. You write letters on behalf of prisoners of conscience. Jesse Helms makes your knee go into involuntary spasms. You are primed for First Amendment battles and believe you stand squarely on the side of the purists. Until you start to leaf through the Amok Fourth Dispatch." – Publisher's Weekly

73. SATAN, CANTOR, AND INFINITY - Preface Books, referred to, reviewed, buy SATAN, CANTOR, AND INFINITY Preface. http://www.cut-the-knot.org/books/satan/preface.shtml

74. Ziring Book Review Pages - Current Some of the other topics covered in less depth include Turing machines, Post production systems, Cantor's infinities, NPcompleteness, Maxwell's demon, neural nets, numerical http://users.erols.com/ziring/bookrev.htm

Welcome to the Ziring Book Pages This page provides two services: links to book review, news, and catalog sources on the web, and capsule reviews of notable books. The reviews are written personally by us, so they are highly subjective; take these reviews with a grain of salt! Current book reviews (New: The Advent of the Algorithm by Dr. David Berlinsk) Book Reviews Master Index Old Review Pages: Summer '96 book reviews Winter '98 book reviews Fall '96 book reviews Spring-Summer '98 book reviews ... My Science Fiction Page (w/ top 100 authors list) For other book news and views, check out the Usenet: rec.arts.books.* newsgroups Ziring Book Reviews for March-June, 2000 Here are some books that you might find interesting. Go Figure! Using Math to Answer Everyday Imponderables by Clint Brookhart ISBN 0-8092-2608-1 Educators and social critics noticed, in the late 1980s, that general familiarity with basic arithmetical concepts and techniques was low among the American population. J.A. Paulos even coined a word to describe it: innumeracy . The real key to improving numeracy, many of its advocates point out, is to make mathematics seem more real and applicable to people's everyday lives.

75. The Existence Of Infinity Through Transfinite Numbers 1 Introduction File Format PDF/Adobe Acrobat Quick View http://www.shsu.edu/~mth_jaj/math470/woods.pdf

76. YouTube - Joniversity's Channel The God of Mathematics Georg Cantor's Infinities (Continuum Hypothesis) I'm a British-Israeli. Fascinated by physics and biology. Intrigued by history http://www.youtube.com/user/Joniversity

77. Loren Graham And Jean-Michel Kantor, Naming Infinity: A True Story Of Religious Aug 12, 2010 One is then forced, when judging models with the appropriate degree of skepticism, to hit up against Cantor s infinities. Comments (0) http://stevereads.com/weblog/2010/08/12/loren-graham-and-jean-michel-kantor-nami

@import url( http://stevereads.com/wordpress/wp-content/themes/tranquility-white-10/style.css ); @import url( http://stevereads.com/css/laniel.css ); Steve Reads Books and policy from an endlessly curious perspective Email address: steve@stevereads.com What Steve is reading right now Schlesinger Jr., Arthur Meier Age of Jackson, The Steve's books finished so far this year Venkatesh, Sudhir Gang Leader for a Day: A Rogue Sociologist Takes to the Streets (finished 24 October) Hammett, Dashiell Maltese Falcon, The Thin Man, Red Harvest (finished 12 October) Hamilton-Paterson, James Cooking with Fernet Branca (finished 7 October) Lepore, Jill The Whites of Their Eyes: The Tea Party's Revolution and the Battle over American History (finished 4 October) Anonymous Hedge Fund Manager with n+1 Diary of a Very Bad Year: Confessions of an Anonymous Hedge Fund Manager (finished 2 October) Das, Satyajit (finished 1 October) Geoghegan, Thomas Were You Born On The Wrong Continent?: How the European Model Can Help You Get A Life (finished 24 September) Baldwin, Rosecrans

78. Joniversity の動画検索 - 0km 【ゼロキロ】 The God of Mathematics Georg Cantor's Infinities (Continuum Hypothesis) Jewish DNA - The Kohanim Gene and the Lost Tribes of Israel http://0km.jp/?tag=joniversity

79. Satan, Cantor, And Infinity And Other Mind-Boggling Puzzles - 免费电子图书 Translate this page 2010 3 15 Satan, Cantor, And Infinity and Other Mind-Boggling Puzzles - chm, pdf rapidshare , ebook torrents http://www.ebookee.net/Satan-Cantor-And-Infinity-and-Other-Mind-Boggling-Puzzles

English Satan, Cantor, And Infinity and Other Mind-Boggling Puzzles ISBN: 0679406883 The poster (email) is not available. 收藏推荐: Raymond M. Smullyan, "Satan, Cantor, And Infinity and Other Mind-Boggling Puzzles" The author of What Is the Name of This Book? presents a compilation of more than two hundred challenging new logic puzzlesranging from simple brainteasers to complex mathematical paradoxes. Summary: To tell the truth... Rating: 5 Raymond Smullyan has been described (by Martin Gardner, no less) as the most entertaining logician ever (lets leave aside the lack of competition here after all, Kurt Godel wasn't known to be a bundle of laughs, etc. ...). One of the points of logic is to figure out what lines of reasoning make sense, and what can be considered true and false, given the proper rules of rational thought and the right information. This can be done by means of equations, symbolic exions and linguistic tools, but this can be rather dry. A much more enjoyable means of learning to apply logical principles is through the kinds of puzzles presented by Smullyan. It is somewhat ironic story problems are the point of greatest dread among many mathematics students, yet the logic-equivalent of story problems are the most fun! Smullyan has written several books on logic puzzles, and often starts with the device of puzzles with figuring out who is telling the truth and who is lying here it starts on the island of Knights and Knaves, where Knights always tell the truth, and Knaves always tell lies. However, apart from this distinction, it is impossible to tell them apart. Smullyan presents the problems, and then presents the solutions, not in the back of the book or in a footnote, but as part of the narrative. It is a very natural and logical progression.

80. LOGIC OF ACTUAL INFINITY AND G.CANTOR S DIAGONAL PROOF OF THE File Format PDF/Adobe Acrobat Quick View http://alexzen.by.ru/papers/2005/Zenkin-Review of ML-2004.pdf

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