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Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals
This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of form...
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| Lenguaje: | eng |
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Springer
2013
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| Acceso en línea: | http://cds.cern.ch/record/1701433 |
| _version_ | 1780936270805991424 |
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| author | Horská, Anna |
| author_facet | Horská, Anna |
| author_sort | Horská, Anna |
| collection | CERN |
| description | This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. This representation is analysed and connection to set-theoretical representation is found, namely an algorithm for translating Gentzen's notation into Cantor normal form. The topic should inte |
| id | cern-1701433 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2013 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-17014332021-04-21T21:02:28Zhttp://cds.cern.ch/record/1701433engHorská, AnnaWhere is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinalsMathematical Physics and MathematicsThis book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. This representation is analysed and connection to set-theoretical representation is found, namely an algorithm for translating Gentzen's notation into Cantor normal form. The topic should inteSpringeroai:cds.cern.ch:17014332013 |
| spellingShingle | Mathematical Physics and Mathematics Horská, Anna Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title | Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title_full | Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title_fullStr | Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title_full_unstemmed | Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title_short | Where is the Gödel-point hiding: Gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| title_sort | where is the gödel-point hiding: gentzen's consistency proof of 1936 and his representation of constructive ordinals |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/1701433 |
| work_keys_str_mv | AT horskaanna whereisthegodelpointhidinggentzensconsistencyproofof1936andhisrepresentationofconstructiveordinals |