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Cantor's Infinities: more detail | ||||
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41. Hive 5. scampi 6. Cantor s infinities 7. half a genotype 8. seventh Quidditch player 9. bridal or baby 10. minister, reverend, priest, etc. 11. 1sphere 12. http://techhouse.brown.edu/puzzles/archive/puz/8/ | |
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42. [Phil-logic] Cantor's Axiom Right. This is the sort of thing I see as a supporting consideration for Cantor s view. What are actual infinities ? What sense of actual is meant here? http://philo.at/pipermail/phil-logic/2003-November/001959.html | |
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43. [Phil-logic] Cantor's Axiom PM Right. This is the sort of thing I see as a supporting consideration for Cantor s view. CS What are actual infinities ? http://philo.at/pipermail/phil-logic/2003-November/001960.html | |
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44. Cantor S Alpha One - Technology Services I ask because cantor s proof seems a bit shaky to me, at least the way I ve I can t comment on the idea of how many infinities there are without knowing what http://www.physicsforums.com/archive/t-23442 | |
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46. Certainty, Infinity, Impossibility Key ideas Numbers, The Pythagoreans and the irrationality of 2 , orders of infinities, Cantor s diagonalization argument, R = R n ; n=2, 3 http://cs.wwc.edu/~aabyan/CII/book.html | |
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47. Ecclectica - Aleph However, Cantor reasoned that Kronecker would only read the title and abstract, looking for some mention of Cantor s objectionable infinities. http://www.ecclectica.ca/issues/2002/1/williams.asp | |
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48. Mathematics Emperor's New Clothes. Not until the late twentieth century did Cohen prove the relationship between Cantor s infinities and the Axiom of Choice. So what s the big deal? http://www.netautopsy.org/jharempr.htm | |
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49. [math-ph/9909033] Infinities In Physics And Transfinite Numbers In Mathematics Upon examining these examples in the context of infinities from Cantor s theory of transfinite numbers, the only known mathematical theory of infinities, we http://arxiv.org/abs/math-ph/9909033 | |
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50. [math/0305310] Infinite Sets Are Non-denumerable Finally it is shown that Cantor s second diagonalization method is inapplicable at all remains no evidence for the existence of different infinities denoted by http://arxiv.org/abs/math.GM/0305310 | |
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51. The Power Set This multiplicity of infinities deserves a name. Cantor gave it the name aleph2. Each time you layer in a new bag of infinities you get a new cardinal number http://descmath.com/diag/power.html | |
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52. Rich Theory this dichotomy. As such I characterize the Cantor s view of infinity as a duality. There are two types of infinities. There is a http://descmath.com/diag/rt.html | |
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53. MIND Exchange ) It would seem to me that you would have to have a meta-mathematics , a framework larger than Cantor s set of infinities in order to prove what DS is saying http://www.kurzweilai.net/mindx/show_thread.php?rootID=22349 |
54. When You Get To The End, Keep Going Csmonitor.com While trying to parse Cantor s diagonal proof establishing that some infinities are larger than others, you ll also be attempting to parse Wallace s http://www.csmonitor.com/2003/1104/p14s02-bogn.htm |
55. DC Comics Message Boards » DC Comics » Superman Given Cantor s infinities are not equal to each other, we know some infinities are larger/stronger than others; to us, Aleph nunber is about as unattainable as http://dcboards.warnerbros.com/web/messages.jsp?topic=49758698&board=superman |
56. The Infinite And The Unknowable Cantor invented a nomenclature to keep track of all the infinities that come about by taking unions and power sets, but we shall not attempt to explain it here http://spicerack.sr.unh.edu/~dvf/Pathways/inf |
57. Everything And More: A Compact History Of Infinity (Great Discoveries) - Book Re Cantor s counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown http://www.bookfinder.us/review9/0393003388.html | |
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58. The Mystery Of The Aleph - By Aczel, Amir D. But (as he also showed) some infinities are bigger than others. To distinguish them, Cantor used the Hebrew letter aleph the number of whole numbers is aleph http://www.bookfinder.us/review6/156858105X.html | |
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59. Salon.com Books | What's Bigger Than A Kazillion? Using reasoning that I ve always thought of as his Squiggly Argument, Cantor proved that But don t jump to the conclusion that all infinities are the same size http://www.salon.com/books/review/2003/11/12/infinity/ | |
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60. Date Sun, 27 Feb 2000 141136 But the arguments of Cantor and others showed, to my satisfaction, anyhow, that none of the traditional objections to actual infinities holds water. http://personal.bgsu.edu/~roberth/triad.html | |
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