51. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
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52. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Kurt Godel 
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Description: ISBN10: 0486669807, ISBN13: 9780486669809, [publisher: Dover Publications Inc.] Softcover 1992. New ed. Paperback. Series: Dover Books on Mathematics. Num Pages: 80 pages. BIC Classification: PBCD. Category: (G) General (US: Trade). Dimension: 204 x 153 x 5. Weight in Grams: 92. . . . . . Books ship from the US and Ireland. [Olney, MD, U.S.A.] [Publication Year: 1992]  

53. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
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54. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
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55. On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Paperback)
by Kurt Godel 
Price: USD 18.24
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Description: ISBN10: 0486669807, ISBN13: 9780486669809, [publisher: Dover Publications Inc., New York] Softcover Paperback. In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. [Wilmington, DE, U.S.A.] [Publication Year: 2003]  

56. On Formally Undecidable Propositions of Principia Mathematica and Related Systems Dover Books on Mathematics
by Kurt Godel 
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57. On Formally Undecidable Propositions of Principia Mathematica and Related Systems Dover Books on Mathematics
by Kurt Godel 
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58. On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Dover Books on Mathematics)
by Godel, Kurt 
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59. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
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Description: New York, NY Dover Publications 1992 Revised ed. Trade paperback Good. Trade paperback (US). Glued binding. 80 p. Dover Books on Mathematics. 

60. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Kurt Gödel 
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61. On Formally Undecidable Propositions of Principia Mathematica and Related Systems [Soft Cover ]
by Gödel, Kurt 
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62. On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Paperback)
by Kurt Godel 
Price: USD 20.78
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Description: ISBN10: 0486669807, ISBN13: 9780486669809, [publisher: Dover Publications Inc., New York] Softcover Paperback. In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. [Stevenage, United Kingdom] [Publication Year: 2003]  

63. On Formally Undecidable Propositions of Principia Mathematica and
by Kurt Godel 
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64. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
Price: USD 20.98
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Description: New York, NY Dover Publications 1992 Revised ed. Trade paperback New. Trade paperback (US). Glued binding. 80 p. Dover Books on Mathematics. 

65. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by GÃ del, Kurt 
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66. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Kurt Godel 
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Description: Dover Publications 1992 Revised ed. Trade paperback New 1992. New ed. Paperback. Series: Dover Books on Mathematics. Num Pages: 80 pages. BIC Classification: PBCD. Category: (G) General (US: Trade). Dimension: 204 x 153 x 5. Weight in Grams: 92......We ship daily from our Bookshop. 

67. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
Price: USD 22.51
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Description: New York, NY Dover Publications 1992 Revised ed. Trade paperback New. Trade paperback (US). Glued binding. 80 p. Dover Books on Mathematics. 

68. On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Paperback)
by Kurt Godel 
Price: USD 24.68
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Description: ISBN10: 0486669807, ISBN13: 9780486669809, [publisher: Dover Publications Inc., New York] Softcover Paperback. In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. [Truganina, VIC, Australia] [Publication Year: 2003]  

69. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by GÃ del, Kurt 
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70. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by G?del, Kurt 
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71. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
Price: USD 53.43
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72. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Gödel, Kurt 
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Description: Dover Publications 1992-04-01 Revised ed. Paperback New Size: 84x8x128; New. In shrink wrap. Looks like an interesting title! 

73. ON FORMALLY UNDECIDABLE PROPOSIT
by Gödel, Kurt 
Price: USD 58.28
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74. On Formally Undecidable Propositions of Principia Mathematica and Related Systems
by Godel Kurt 
Price: USD 61.19
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Description: Dover Publications, Date: 1992-04-01. Paperback. New. New. In shrink wrap. Looks like an interesting title! 1992. Dover Publications ISBN 0486669807 9780486669809 [US]