Algebraic.net

Home  - Theorems_And_Conjectures - Cantor's Infinities

Books Popular Music Classical Music DVD VHS Toys Baby Computers Video Games Electronics Camera & Photo Software Tools & Hardware Office Products Magazines Outdoor Living Kitchen Travel Cell Phones & Service

Images

Newsgroups

41-60 of 91    Back | 1  | 2  | 3  | 4  | 5  | Next 20

Cantor's Infinities:     more detail

Satan, Cantor, and Infinity: And Other Mind-Boggling Puzzles by Raymond Smullyan, November, 1992 Satan, Cantor & Infinity by Smullyam, June, 1994 Satan, Cantor, and Infinity: And Other Mind-Boggling Puzzles by Raymond Smullyan, November, 1992 Satan, Cantor & Infinity by Smullyam, June, 1994

41. Mediev-L: Re: About Infinity
    There are other systems besides cantor's of different kinds of infinities, for exampleone introduced around the same time Cantor put forth his version, by an  
    http://www.ku.edu/~medieval/melcher/matthias/t98/0084.html

42. Bounded Infinities
    I've got ideas of bound infinities, sets whose elements are bound abstraction processes Figments - Semiotics - perfect language - cantor's paradox - Chaotic  
    http://homepages.which.net/~gk.sherman/baaaaaaa.htm

43. Infinity: You Can't Get There From Here -- Platonic Realms MiniText
    that, after all, countable infinities are the only kind of infinities there are kindof proof, which has come to be called “cantor's diagonalization argument  
    http://www.mathacademy.com/pr/minitext/infinity/index.asp

44. Re 'Uncountable': How Many Reals *are* There? (mapping All Onto One Line)
    born from a practical NEED, which IMHO cannot be said of cantor's gedanken experiments.Unless of course you admit playing with uncountable infinities to be a  
    http://home.iae.nl/users/benschop/reals.htm

45. "Uncountable": Finite Intuitions And Cantor's Diagonal (beyond Peano)
    you may imagine that the whole lattice (of infinite width and hight ) 2^N is infinitelylarger (cantor's diagonal argument). Do the infinities cancel out  
    http://home.iae.nl/users/benschop/finite.htm

46. Cantor's Conjecture
    infinities. But all these definitions and their considerations are beautiful (butquite empty) words having no legitimate attitude to mathematics. cantor's  
    http://www.ontologystream.com/beads/Cantor/Zenkin/bead1.htm

47. Visual Inspection And Sense Analysis Of Data
    popular form. It is proved that the main G.cantor's Theorem as tothe existence of different infinities is wrong. So, all modern  
    http://www.ontologystream.com/beads/visad/bead1-1.htm

48. The Continuum Hypothesis
    There were others, such as David Hilbert, Ernst Zermelo and Leibniz, that wouldgo on to show that cantor's higher infinities are in fact necessary for  
    http://www.math.rutgers.edu/courses/436/436-s00/Papers2000/brazza.html

49. 6.2 Finite Or Infinite?
    in the philosophy of mathematics itself to reject cantor's assumptions, most Thesearguments tie together the problems of natural and mathematical infinities.  
    http://www.generativescience.org/books/pnb/node24.html

50. Spicerack.sr.unh.edu/~dvf/Pathways/inf
    to difficult problems before they developed careful rules for manipulating infinities. Theelaboration of cantor's ideas becomes a major theme of mathematics  
    http://spicerack.sr.unh.edu/~dvf/Pathways/inf

51. The Power Set
    consisitent until you have an infinite number of infinities embedded in infinities. upwith a number system that looks an awful like cantor's cardinal numbers.  
    http://descmath.com/diag/power.html

52. Rich Theory
    of a rich infinity, I think you would find that cantor's transfinite numbers It simplyshows that Galileo's conjecture that all infinities are the same size  
    http://descmath.com/diag/rich.html

53. BBC - Radio 4 - 5 Numbers - Infinity
    The result, confusing though it may seem, is that some infinities are bigger thanothers! cantor's work represented a threat to the entrenched complacency of  
    http://www.bbc.co.uk/radio4/science/5numbers5.shtml

54. Search AZ Directory Contacting People About Us
    No First Order axiomatization, then, can categorically describe a systemwhose size is one of cantor's higher infinities. (Systems  
    http://www.philosophy.unimelb.edu.au/handouts/161016/tennant.html

55. LA Weekly: Columns: Quark Soup: To Infinity And Beyond
    has led to the discovery of numbers that dwarf even cantor's remotest dreams Theclasses of infinities now under study sound indeed like refugees from Lewis  
    http://www.laweekly.com/ink/03/16/quark-wertheim.php

56. Certainty, Infinity, Impossibility
    Key ideas Numbers, The Pythagoreans and the irrationality of 2 , ordersof infinities, cantor's diagonalization argument, R = R n ; n=2, 3  
    http://cs.wwc.edu/~aabyan/CII/book.html

57. CII Paper
    Key ideas The Pythagoreans and the irrationality of 2 , orders of infinities,cantor's diagonalization argument, R = R n ; n=2, 3, , describability.  
    http://cs.wwc.edu/~aabyan/CII/paperCII.html

58. 4.06: PHYSICS AND MATHEMATICS -- Logic And Computational Theory
    research over the years indicates that these peculiar infinities are firmly Oneof the most successful attempts used cantor's original conceptual framework  
    http://www.imprint-academic.demon.co.uk/SPECIAL/04_06.html

59. EMail Msg <9305050249.AA05043@turing.pacss.binghamton.edu>
    I agree, analysis does not explicitly depend on cantor's construction, but I havea preference for avoiding talk about completed infinities unless absolutely  
    http://www-ksl.stanford.edu/email-archives/interlingua.messages/310.html

60. EMail Msg <9305241234.AA14945@turing.pacss.binghamton.edu>
    does seem to lead to the dreaded swamp of confusions or cantor's paradise Therefore,I believe that talk of countable infinities in foundational studies is OK  
    http://www-ksl.stanford.edu/email-archives/interlingua.messages/338.html

41-60 of 91    Back | 1  | 2  | 3  | 4  | 5  | Next 20

contact: support@algebraic.net