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On formally undecidable propositions of Principia mathematica and related systems
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 can...
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| Lenguaje: | eng |
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Oliver and Boyd
1962
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| Acceso en línea: | http://cds.cern.ch/record/110792 |
| _version_ | 1780878300573335552 |
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| author | Gödel, Kurt |
| author_facet | Gödel, Kurt |
| author_sort | Gödel, Kurt |
| collection | CERN |
| description | 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 |
| id | cern-1986832 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1962 |
| publisher | Oliver and Boyd |
| record_format | invenio |
| spelling | cern-19868322021-04-22T05:05:04Zhttp://cds.cern.ch/record/110792engGödel, KurtOn formally undecidable propositions of Principia mathematica and related systemsMathematical Physics and MathematicsIn 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 ofOliver and Boydoai:cds.cern.ch:19868321962 |
| spellingShingle | Mathematical Physics and Mathematics Gödel, Kurt On formally undecidable propositions of Principia mathematica and related systems |
| title | On formally undecidable propositions of Principia mathematica and related systems |
| title_full | On formally undecidable propositions of Principia mathematica and related systems |
| title_fullStr | On formally undecidable propositions of Principia mathematica and related systems |
| title_full_unstemmed | On formally undecidable propositions of Principia mathematica and related systems |
| title_short | On formally undecidable propositions of Principia mathematica and related systems |
| title_sort | on formally undecidable propositions of principia mathematica and related systems |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/110792 |
| work_keys_str_mv | AT godelkurt onformallyundecidablepropositionsofprincipiamathematicaandrelatedsystems |