Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | SpringerBriefs in Philosophy
|
| Schlagworte: | |
| Online-Zugang: | UBG01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (IX, 77 S.) |
| ISBN: | 9783319021713 |
| DOI: | 10.1007/978-3-319-02171-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV041417552 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 131115s2014 |||| o||u| ||||||eng d | ||
| 020 | |a 9783319021713 |c Online |9 978-331-90217-1-3 | ||
| 024 | 7 | |a 10.1007/978-3-319-02171-3 |2 doi | |
| 035 | |a (OCoLC)904318077 | ||
| 035 | |a (DE-599)BSZ395818389 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-473 |a DE-739 | ||
| 050 | 0 | |a BC1-199 | |
| 082 | 0 | |a 160 | |
| 100 | 1 | |a Horská, Anna |e Verfasser |0 (DE-588)1044165685 |4 aut | |
| 245 | 1 | 0 | |a Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals |c Anna Horská |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2014 | |
| 300 | |a 1 Online-Ressource (IX, 77 S.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a SpringerBriefs in Philosophy | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Philosophy (General) | |
| 650 | 4 | |a Logic | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 4 | |a Philosophy | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-319-02170-6 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-02171-3 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SHU | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026864704 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-319-02171-3 |l UBG01 |p ZDB-2-SHU |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-02171-3 |l UPA01 |p ZDB-2-SHU |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804151532646563840 |
|---|---|
| adam_text | WHERE IS THE GOEDEL-POINT HIDING: GENTZEN’S CONSISTENCY PROOF OF 1936
AND HIS REPRESENTATION OF CONSTRUCTIVE ORDINALS
/ HORSKA, ANNA
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
ACKNOWLEDGEMENTS
1 INTRODUCTION
2 PRELIMINARIES
3 ORDINAL NUMBERS
4 CONSISTENCY PROOF
INDEX
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
WHERE IS THE GOEDEL-POINT HIDING: GENTZEN’S CONSISTENCY PROOF OF 1936
AND HIS REPRESENTATION OF CONSTRUCTIVE ORDINALS
/ HORSKA, ANNA
: 2014
ABSTRACT / INHALTSTEXT
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 INTEREST RESEARCHERS
AND STUDENTS WHO WORK ON PROOF THEORY, HISTORY OF PROOF THEORY OR
HILBERT S PROGRAM AND WHO DO NOT MIND READING MATHEMATICAL TEXTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Horská, Anna |
| author_GND | (DE-588)1044165685 |
| author_facet | Horská, Anna |
| author_role | aut |
| author_sort | Horská, Anna |
| author_variant | a h ah |
| building | Verbundindex |
| bvnumber | BV041417552 |
| callnumber-first | B - Philosophy, Psychology, Religion |
| callnumber-label | BC1-199 |
| callnumber-raw | BC1-199 |
| callnumber-search | BC1-199 |
| callnumber-sort | BC 11 3199 |
| callnumber-subject | BC - Logic |
| collection | ZDB-2-SHU |
| ctrlnum | (OCoLC)904318077 (DE-599)BSZ395818389 |
| dewey-full | 160 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 160 - Philosophical logic |
| dewey-raw | 160 |
| dewey-search | 160 |
| dewey-sort | 3160 |
| dewey-tens | 160 - Philosophical logic |
| discipline | Philosophie |
| doi_str_mv | 10.1007/978-3-319-02171-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01992nmm a2200445 c 4500</leader><controlfield tag="001">BV041417552</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">131115s2014 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319021713</subfield><subfield code="c">Online</subfield><subfield code="9">978-331-90217-1-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-02171-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)904318077</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BSZ395818389</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-473</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">BC1-199</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">160</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Horská, Anna</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1044165685</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals</subfield><subfield code="c">Anna Horská</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (IX, 77 S.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in Philosophy</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Philosophie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Philosophy (General)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic, Symbolic and mathematical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Philosophy</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-02170-6</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-02171-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SHU</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026864704</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02171-3</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-2-SHU</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-02171-3</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SHU</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV041417552 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:56:19Z |
| institution | BVB |
| isbn | 9783319021713 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026864704 |
| oclc_num | 904318077 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-739 |
| owner_facet | DE-473 DE-BY-UBG DE-739 |
| physical | 1 Online-Ressource (IX, 77 S.) |
| psigel | ZDB-2-SHU |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in Philosophy |
| spelling | Horská, Anna Verfasser (DE-588)1044165685 aut Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals Anna Horská Cham [u.a.] Springer 2014 1 Online-Ressource (IX, 77 S.) txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in Philosophy Philosophie Philosophy (General) Logic Logic, Symbolic and mathematical Philosophy Erscheint auch als Druckausgabe 978-3-319-02170-6 https://doi.org/10.1007/978-3-319-02171-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Horská, Anna Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals Philosophie Philosophy (General) Logic Logic, Symbolic and mathematical Philosophy |
| title | Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals |
| title_auth | Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals |
| title_exact_search | 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 Anna Horská |
| title_fullStr | Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals Anna Horská |
| title_full_unstemmed | Where is the Gödel-Point Hiding: Gentzen's Consistency Proof of 1936 and his Representation of Constructive Ordinals Anna Horská |
| 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 godel point hiding gentzen s consistency proof of 1936 and his representation of constructive ordinals |
| topic | Philosophie Philosophy (General) Logic Logic, Symbolic and mathematical Philosophy |
| topic_facet | Philosophie Philosophy (General) Logic Logic, Symbolic and mathematical Philosophy |
| url | https://doi.org/10.1007/978-3-319-02171-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026864704&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT horskaanna whereisthegodelpointhidinggentzensconsistencyproofof1936andhisrepresentationofconstructiveordinals |