The logic of provability:
This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invente...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1993
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxxvi, 275 pages) |
| ISBN: | 9780511625183 |
| DOI: | 10.1017/CBO9780511625183 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043923868 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161202s1993 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511625183 |c Online |9 978-0-511-62518-3 | ||
| 024 | 7 | |a 10.1017/CBO9780511625183 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511625183 | ||
| 035 | |a (OCoLC)849887223 | ||
| 035 | |a (DE-599)BVBBV043923868 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-473 |a DE-92 | ||
| 082 | 0 | |a 160 |2 20 | |
| 084 | |a CC 2500 |0 (DE-625)17609: |2 rvk | ||
| 084 | |a CC 2600 |0 (DE-625)17610: |2 rvk | ||
| 084 | |a SK 130 |0 (DE-625)143216: |2 rvk | ||
| 100 | 1 | |a Boolos, George |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The logic of provability |c George Boolos |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1993 | |
| 300 | |a 1 online resource (xxxvi, 275 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency | ||
| 650 | 4 | |a Modality (Logic) | |
| 650 | 4 | |a Proof theory | |
| 650 | 0 | 7 | |a Beweistheorie |0 (DE-588)4145177-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modallogik |0 (DE-588)4074914-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Modallogik |0 (DE-588)4074914-9 |D s |
| 689 | 0 | 1 | |a Beweistheorie |0 (DE-588)4145177-6 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-43342-6 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-48325-4 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511625183 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029332947 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511625183 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511625183 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511625183 |l UBG01 |p ZDB-20-CBO |q UBG_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176848573169664 |
|---|---|
| any_adam_object | |
| author | Boolos, George |
| author_facet | Boolos, George |
| author_role | aut |
| author_sort | Boolos, George |
| author_variant | g b gb |
| building | Verbundindex |
| bvnumber | BV043923868 |
| classification_rvk | CC 2500 CC 2600 SK 130 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511625183 (OCoLC)849887223 (DE-599)BVBBV043923868 |
| 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 | Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9780511625183 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03043nmm a2200529zc 4500</leader><controlfield tag="001">BV043923868</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161202s1993 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511625183</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-62518-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511625183</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511625183</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849887223</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043923868</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">160</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">CC 2500</subfield><subfield code="0">(DE-625)17609:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">CC 2600</subfield><subfield code="0">(DE-625)17610:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 130</subfield><subfield code="0">(DE-625)143216:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Boolos, George</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The logic of provability</subfield><subfield code="c">George Boolos</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xxxvi, 275 pages)</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="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modality (Logic)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Proof theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Beweistheorie</subfield><subfield code="0">(DE-588)4145177-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modallogik</subfield><subfield code="0">(DE-588)4074914-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Modallogik</subfield><subfield code="0">(DE-588)4074914-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Beweistheorie</subfield><subfield code="0">(DE-588)4145177-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-43342-6</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-48325-4</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511625183</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029332947</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511625183</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511625183</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511625183</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBG_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043923868 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:42Z |
| institution | BVB |
| isbn | 9780511625183 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029332947 |
| oclc_num | 849887223 |
| open_access_boolean | |
| owner | DE-12 DE-473 DE-BY-UBG DE-92 |
| owner_facet | DE-12 DE-473 DE-BY-UBG DE-92 |
| physical | 1 online resource (xxxvi, 275 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBG_PDA_CBO |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Boolos, George Verfasser aut The logic of provability George Boolos Cambridge Cambridge University Press 1993 1 online resource (xxxvi, 275 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book, written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention. Modal logic is concerned with the notions of necessity and possibility. What George Boolos does is to show how the concepts, techniques, and methods of modal logic shed brilliant light on the most important logical discovery of the twentieth century: the incompleteness theorems of Kurt Godel and the 'self-referential' sentences constructed in their proof. The book explores the effects of reinterpreting the notions of necessity and possibility to mean provability and consistency Modality (Logic) Proof theory Beweistheorie (DE-588)4145177-6 gnd rswk-swf Modallogik (DE-588)4074914-9 gnd rswk-swf Modallogik (DE-588)4074914-9 s Beweistheorie (DE-588)4145177-6 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-43342-6 Erscheint auch als Druckausgabe 978-0-521-48325-4 https://doi.org/10.1017/CBO9780511625183 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Boolos, George The logic of provability Modality (Logic) Proof theory Beweistheorie (DE-588)4145177-6 gnd Modallogik (DE-588)4074914-9 gnd |
| subject_GND | (DE-588)4145177-6 (DE-588)4074914-9 |
| title | The logic of provability |
| title_auth | The logic of provability |
| title_exact_search | The logic of provability |
| title_full | The logic of provability George Boolos |
| title_fullStr | The logic of provability George Boolos |
| title_full_unstemmed | The logic of provability George Boolos |
| title_short | The logic of provability |
| title_sort | the logic of provability |
| topic | Modality (Logic) Proof theory Beweistheorie (DE-588)4145177-6 gnd Modallogik (DE-588)4074914-9 gnd |
| topic_facet | Modality (Logic) Proof theory Beweistheorie Modallogik |
| url | https://doi.org/10.1017/CBO9780511625183 |
| work_keys_str_mv | AT boolosgeorge thelogicofprovability |