61. Sets http//en.wikipedia.org/wiki/Cardinal_number http//en.wikipedia.org/wiki/Transfinite http//en.wikipedia.org/wiki/continuum_hypothesis http://sci4um.com/about12654.html

FAQ Search Memberlist Usergroups Register Profile Preferences Log in to check your private messages Log in Forum index Science and Technology Math sets Page of [9 Posts] View previous topic View next topic Author Message ohi science forum beginner Joined: 23 Sep 2005 Posts: 2 Posted: Fri Sep 23, 2005 6:25 pm Post subject: sets I have 3 questions about sets: 1. how can a set on natural numbers be countable, when it is infinite? 2. what is a cardinal number and how does it differ from all other numbers? 3. what are aleph0 and aleph1? thanks Back to top Jason Pawloski science forum beginner Joined: 30 Apr 2005 Posts: 10 Posted: Fri Sep 23, 2005 6:43 pm Post subject: Re: sets Quote: I have 3 questions about sets: I'll take a stab... Quote: 1. how can a set on natural numbers be countable, when it is infinite? Its the (most accepted) definition of countable: either a set is finite OR there exists a bijection on N. So this may force you to abandon your old ideas of what countability means (in the colloquial sense). Quote: 3. what are aleph0 and aleph1?

62. All Articles: Page 67 continuum_hypothesis Continuum_mechanics Contoocook,_New_Hampshire Contra Contra_Costa_County,_California Contract Contract_bridge http://www.kreditvergleiche.net/everything-67.html

All Articles - Page 67 Pages: Conradin Conrath,_Wisconsin Conroe,_Texas Consciousness ... Startseite

63. Kurt Goedel(1906 - 1978) Logical_implication Gödel_(programming_language) The_Time_Ships Relevance_logic continuum_hypothesis Timeline_of_mathematics ? http://no.searchalldetails.com/p/137563

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64. All Articles: Page 34 continuum_hypothesis Continuum_mechanics Contoocook,_New_Hampshire Contra Contra_Costa_County,_California Contract Contract_bridge http://www.sparen-versicherung.de/everything-34.html

All Articles: Page 34 All Articles - Page 34 Pages: Conjugate Conjugation Conjunction Conjunctivitis ... Impressum

65. Poems At The Poetry Free-for-all - Snow White Faces The Turing Test, Brooklyn 20 Alephnull (http//en.wikipedia.org/wiki/Aleph-null) and the Continuum (http//en.wikipedia.org/wiki/continuum_hypothesis) were first explored in detail by http://www.everypoet.org/pffa/archive/index.php/t-21181.html

Poems at the Poetry Free-for-all Amorphous All-Purpose Anarchy PDA View Full Version : Snow White Faces the Turing Test, Brooklyn 2003 BrianIsSmilingAtYou 01-19-2004, 04:41 AM Snow White Faces the Turing Test, Brooklyn 2003 I. The Mirror The mirror lies in splinters, shattered in the hallway; the apple lies beside her on the floor. She barely made tuition; even rent split out eight ways would mean skipped meals and dirty laundry. But food and clothes were little thingsthe others helped they bought her fruit at the downstairs market, woke her for class, did double loads. II. Simple Axioms She used to count the problems out on nights before exams: non-linear equations, formal systems tied up tidy but now she counted empty sets, and ashes on the floor. Gödel’s theorem taught her mathematics was no refuge. Uncertainties of life were found as much in simple axioms as late semester nights of study with the man who’d left for London and the child in her belly he would never claim. III. One Hand Free

66. فرض ٠تصله - Continuum Hypothesis ( Translation Glossary) Continuum Hypothesis Continuum Hypothesis http//en.wikipedia. org/wiki/continuum_hypothesis. Mohammad Reza Razaghi Farsi http://chi.proz.com/kudoz/2043749

Translators - Translator Resources The translation workplace Looking for translators or interpreters? Free: Post translation job Search translator directory Premium service 31 Mar 07:04 GMT New to ProZ.com? Login Help Translation Home Language Translation Services ... Professional Language Translators KudoZ The KudoZ network provides a framework for translators More 英语 translation: Continuum Hypothesis Latest questions Ask question My KudoZ About KudoZ Your KudoZ points: To start earning KudoZ points, please register Advertise here 返回 KudoZ 列表 Continuum Hypothesis Mohammad Reza Razaghi 6:30pm Jul 22, 2007 Login or register (free) for more options. Science - 数学计算与统计 From the title: بررسی نقش فرض ٠تصله در ریاضیات KudoZ活动 Continuum Hypothesis Continuum Hypothesis Mohammad Reza Razaghi You are awesome buddy! 已将4分KudoZ分数奖给了此答案 Continuum Hypothesis Mohammad Reza Razaghi Continuum Hypothesis Continuum Hypothesis http://en.wikipedia.org/wiki/Continuum_hypothesis Mohammad Reza Razaghi You are awesome buddy! Behnam Koleili Alireza Yazdunpanuh Armineh Johannes : armineh johannes Abdi-Cyrus DR Maryam Taghavi Login to enter a peer comment (or grade) 返回 KudoZ 列表 ... Rahi Moosavi 请遵守KudoZ规则： 查看KudoZ规则 For freelance translators Translation jobs Translator forums Translation help network Glossary translations ... Translation articles For translation companies Freelance translators Professional translation services ProZ.com Connect

67. C : QuicklyFind Info continuum_hypothesis Continuum_mechanics Contoocook,_New_Hampshire Contortion Contour_bunding View page 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 http://www.quicklyfind.com/infolist/C_316.htm

QUICKLY FIND Information on just about anything! Current topic : C - View Index - Search for : Total articles starting with "C" : 20004. Now showing results 15751 to 15800 Narrow Search : Starting letters : Ca Cb Cc Cd ... Contortion View page : - This content from Wikipedia is licensed under the GNU Free Documentation License Quickly Find Link Partners Joke Around Embarrassing Stories Magic Tricks Random Acts Of Comedy ... More Links...

68. Continuum Hypothesis - Wikipedia, The Free Encyclopedia Retrieved from http//www.knowledgehunter.info/w/continuum_hypothesis . This article is based on the article Continuum hypothesis of the free http://www.knowledgehunter.info/wiki/Generalized_Continuum_Hypothesis

Portals A-Z Categories Random ... discussion Continuum hypothesis fluid mechanics In mathematics , the continuum hypothesis (CH for short) is a hypothesis , advanced by Georg Cantor , about the possible sizes of infinite sets . Cantor introduced the concept of cardinality to compare the sizes of infinite sets, and he showed that the set of integers is strictly smaller than the set of real numbers . The continuum hypothesis states the following: There is no set whose size is strictly between that of the integers and that of the real numbers. Or mathematically speaking, noting that the cardinality for the integers is aleph-null ") and the cardinality of the real numbers is , the continuum hypothesis says that there is no set Failed to parse (Missing texvc executable; please see math/README to configure.): S for which This is equivalent to: The real numbers have also been called the continuum , hence the name. There is also a generalization of the continuum hypothesis called the generalized continuum hypothesis (GCH) saying: For all ordinals Contents The size of a set Impossibility of proof and disproof Arguments for and against CH The generalized continuum hypothesis ... edit The size of a set Cardinal number To state the hypothesis formally, we need a definition: we say that two sets

69. Paul Joseph Cohen(1934 - 2007) Brooklyn_College Deaths_in_March_2007 Gödel s_incompleteness_theorems Truth 1934 Stuyvesant_High_School continuum_hypothesis Forcing_(mathematics) 1966 http://en.searchalldetails.com/p/163214

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70. Á¬Ðøͳ Translate this page 1878 ( ) http://www.ikepu.com/datebase/briefing/thought/19st/continuum_hypothesis.htm

71. Index Co continuum_hypothesis. continuum_hypothesis Continuum_mechanics Continuum_postulate Contoocook,_New_Hampshire Contortion Contortionism Contortionist http://www.fastload.org/co/

Index co Home Up www.fastload.org Content co CO COBE COBOL COBRA ... Cozumel Feel this could interest others? Point them here This article is licensed under the GNU Free Documentation License You may copy and modify it as long as the entire work (including additions) remains under this license. To view or edit this article at Wikipedia, follow this link

72. فرض ٠تصله - Continuum Hypothesis ( Translation Glossary) Translate this page Continuum Hypothesis Continuum Hypothesis http//en.wikipedia. org/wiki/continuum_hypothesis. Mohammad Reza Razaghi http://rus.proz.com/kudoz/2043749

Translators - Translator Resources The translation workplace Looking for translators or interpreters? Free: Post translation job Search translator directory Premium service 31 Mar 07:04 GMT New to ProZ.com? Login Help Translation Home Language Translation Services ... Professional Language Translators KudoZ The KudoZ network provides a framework for translators More английский translation: Continuum Hypothesis Latest questions Ask question My KudoZ About KudoZ Your KudoZ points: To start earning KudoZ points, please register Advertise here Вернуться к списку вопросов KudoZ Continuum Hypothesis Mohammad Reza Razaghi 6:30pm Jul 22, 2007 Login or register (free) for more options. [PRO] Science - Математика и статистика From the title: بررسی نقش فرض ٠تصله در ریاضیات Активность KudoZ Continuum Hypothesis Continuum Hypothesis Mohammad Reza Razaghi You are awesome buddy! За этот ответ присуждено 4 очка KudoZ Continuum Hypothesis Mohammad Reza Razaghi Continuum Hypothesis Continuum Hypothesis http://en.wikipedia.org/wiki/Continuum_hypothesis

73. Re: I Believe In A Supreme Being of reality,http//en.wikipedia.org/wiki/continuum_hypothesis (talk.origins); Re I believe in a supreme being What is the problem with the concept http://newsgroups.derkeiler.com/Archive/Talk/talk.origins/2007-07/msg04748.html

Re: I believe in a supreme being From Date : Tue, 10 Jul 2007 14:18:11 -0700 I believe in a supreme being now, but I do not necessarily think that he is always benevolent. I think he may have a life of his own. What is the problem with beings existing that are superior to our makeup? Many species on this planet have characteristics that are superior to us. What is the problem with the concept of an alpha male above all beings? Many people would say that an alpha male is sufficient power to justify the term God. The problem I see is that many people are not willing to conceive an omnipotent, omniscient, omnipresent being. This kind of alpha male implies an eternal authority. Not necessarily an anal authority, but an authority, and some people apparently have a distaste for that. The current models of the building blocks of reality are either point particles, or strings with one dimension being that of a point, within a continuum (the real number line of some number of dimensions in spacetime). We are not finite. Any mass besides a point particles spans an aleph-null infinity within the aleph-one continuums of reality

74. Do You Think 0.9999999~ =1 , That Is Infinite 9s. [Archive] - Page 7 - Bad Astro Archive Page 7 Do you think 0.9999999~ =1 , that is infinite 9s. OffTopic Babbling. http://www.bautforum.com/archive/index.php/t-14593-p-7.html

Bad Astronomy and Universe Today Forum General Off-Topic Babbling PDA View Full Version : Do you think 0.9999999~ =1 , that is infinite 9s. Pages : rahuldandekar 06-November-2006, 12:23 AM Mister Earl, you seem to have the same misconception as many other "doubters": namely, that the notation 0.99~ (or 0.99... or 0.99R) represents a process. It doesn't. It represents a number, one with an infinite number of 9s to the right of the decimal. Why don't people get this even after 50 pages The topic has not "wandered" much even after 50 pages, we're still there, trying to explain the same thing over and over again. Reminds me of :wall:. Moose 06-November-2006, 01:45 AM Why don't people get this even after 50 pages 38, but it's because people are intrinsically lazy. Unfortunately, we're becomming an instant gratification society. Not wanting to take the time to do the appropriate research needed to justify our instincts. Unfortunately, a person's first instinct is that 0.999~ cannot possibly be equal to 1, for the various misconceptions we've seen so often in this thread. The fact of it is, 0.999~ is, and indeed must be equal to 1. The math bears it out, physics bears it out. Engineering bears it out. So does Computer Science. I can say that because engineering works. We can build bridges. We can make computer chips. We can launch rockets.

75. - Full Text Free Book (Part 19/89) Part 19 out of 89. FullBooks.com homepage; Index of; Previous part (18); Next part (20). coneshaped k/oU/n_/S//eI/pt coneflower k/oU/n,fl/AU//@/r http://www.fullbooks.com/820519.html

Part 19 out of 89 FullBooks.com homepage Index of Previous part (18) Next part (20) cone-shaped k/oU/n_/S//eI/pt coneflower 'k/oU/n,fl/AU//@/r Conegliano_Veneto k/oU/n/E/l'/j//A/n/A/_v/eI/'n/eI/t/oU/ conenose 'k/oU/n,n/oU/z Conestoga ,k/A/n/@/'st/oU/g/@/ coney 'k/oU/n/i/ coney_leopard 'k/oU/n/i/_'l/E/p/@/rd coney_mole 'k/oU/n/i/_m/oU/l coney_parsley 'k/oU/n/i/_'p/A/rsl/i/ cone_bearing k/oU/n_'b/(@)/r/I//N/ cone_bit k/oU/n_b/I/t cone_brake k/oU/n_br/eI/k cone_center k/oU/n_'s/E/nt/@/r cone_chuck k/oU/n_/tS//@/k cone_clutch k/oU/n_kl/@//tS/ cone_compass k/oU/n_'k/@/mp/@/s cone_coupling k/oU/n_'k/@/pl/I//N/ cone_delta k/oU/n_'d/E/lt/@/ cone_joint k/oU/n_/dZ///Oi//nt cone_key k/oU/n_k/i/ cone_pepper k/oU/n_'p/E/p/@/r cone_plate k/oU/n_pl/eI/t cone_pulley k/oU/n_'p/U/l/i/ cone_shaver k/oU/n_'/S//eI/v/@/r cone_shell k/oU/n_/S//E/l cone_speaker k/oU/n_'sp/i/k/@/r cone_tree k/oU/n_tr/i/ cone_vision k/oU/n_'v/I//Z//@/n cone_wheat k/oU/n_/hw//i/t Confalonieri k/oU/n'f/A/l/oU/n'/j//E/r/i/ confect k/@/n'f/E/kt confect/n 'k/A/nf/E/kt confect/v k/@/n'f/E/kt confection k/@/n'f/E/k/S//@/n confectionary k/@/n'f/E/k/S//@/,n/E/r/i/

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