Computability :: Turing, Gödel, Church, and beyond /
"In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations in...
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Weitere Verfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, Massachusetts :
The MIT Press,
[2013]
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | "In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding. Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics." |
Beschreibung: | 1 online resource |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781461931843 1461931843 0262312670 9780262312677 9780262312660 0262312662 1299688004 9781299688001 9780262312684 0262312689 9780262527484 0262527480 |
Internformat
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245 | 0 | 0 | |a Computability : |b Turing, Gödel, Church, and beyond / |c edited by Jack Copeland, Carl Posy, and Oron Shagrir. |
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504 | |a Includes bibliographical references and index. | ||
520 | 3 | |a "In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding. Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics." | |
588 | 0 | |a Print version record. | |
505 | 0 | |a Turing versus Gödel on computability and the mind / B. Jack Copeland and Oron Shagrir -- Computability and arithmetic / Martin Davis -- About and around Computing over the reals / Solomon Feferman -- The Church-Turing "thesis" as a special corollary of Gödel's completeness theorem / Saul A. Kripke -- Computability and constructibility / Carl J. Posy -- After Gödel / Hilary Putnam -- The open texture of computability / Stewart Shapiro -- Gödel's philosophical challenge (to Turing) / Wilfried Sieg -- Interactive computing and relativized computability / Robert Irving Soare -- Why philosophers should care about computational complexity / Scott Aaronson -- Is quantum mechanics falsifiable? A computational perspective on the foundations of quantum mechanics / Dorit Aharonov and Umesh V. Vazirani. | |
546 | |a English. | ||
650 | 0 | |a Computational complexity. |0 http://id.loc.gov/authorities/subjects/sh85029473 | |
650 | 0 | |a Mathematics |x Philosophy. |0 http://id.loc.gov/authorities/subjects/sh85082153 | |
650 | 6 | |a Complexité de calcul (Informatique) | |
650 | 6 | |a Mathématiques |x Philosophie. | |
650 | 7 | |a COMPUTERS |x Machine Theory. |2 bisacsh | |
650 | 7 | |a Computational complexity |2 fast | |
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700 | 1 | |a Copeland, B. Jack, |d 1950- |e editor. |0 http://id.loc.gov/authorities/names/n2003013129 | |
700 | 1 | |a Posy, Carl J., |e editor. | |
700 | 1 | |a Shagrir, Oron, |d 1961- |e editor. |0 http://id.loc.gov/authorities/names/no2005037871 | |
776 | 0 | 8 | |i Print version: |t Computability. |d Cambridge, Massachusetts : The MIT Press, [2013] |z 9780262018999 |w (DLC) 2012039321 |w (OCoLC)813540892 |
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Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn849928726 |
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adam_text | |
any_adam_object | |
author2 | Copeland, B. Jack, 1950- Posy, Carl J. Shagrir, Oron, 1961- |
author2_role | edt edt edt |
author2_variant | b j c bj bjc c j p cj cjp o s os |
author_GND | http://id.loc.gov/authorities/names/n2003013129 http://id.loc.gov/authorities/names/no2005037871 |
author_facet | Copeland, B. Jack, 1950- Posy, Carl J. Shagrir, Oron, 1961- |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA267 |
callnumber-raw | QA267.7 .C677 2013eb |
callnumber-search | QA267.7 .C677 2013eb |
callnumber-sort | QA 3267.7 C677 42013EB |
callnumber-subject | QA - Mathematics |
collection | ZDB-4-EBA |
contents | Turing versus Gödel on computability and the mind / B. Jack Copeland and Oron Shagrir -- Computability and arithmetic / Martin Davis -- About and around Computing over the reals / Solomon Feferman -- The Church-Turing "thesis" as a special corollary of Gödel's completeness theorem / Saul A. Kripke -- Computability and constructibility / Carl J. Posy -- After Gödel / Hilary Putnam -- The open texture of computability / Stewart Shapiro -- Gödel's philosophical challenge (to Turing) / Wilfried Sieg -- Interactive computing and relativized computability / Robert Irving Soare -- Why philosophers should care about computational complexity / Scott Aaronson -- Is quantum mechanics falsifiable? A computational perspective on the foundations of quantum mechanics / Dorit Aharonov and Umesh V. Vazirani. |
ctrlnum | (OCoLC)849928726 |
dewey-full | 511.3/52 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.3/52 |
dewey-search | 511.3/52 |
dewey-sort | 3511.3 252 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn849928726 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:25:24Z |
institution | BVB |
isbn | 9781461931843 1461931843 0262312670 9780262312677 9780262312660 0262312662 1299688004 9781299688001 9780262312684 0262312689 9780262527484 0262527480 |
language | English |
oclc_num | 849928726 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource |
psigel | ZDB-4-EBA |
publishDate | 2013 |
publishDateSearch | 2013 |
publishDateSort | 2013 |
publisher | The MIT Press, |
record_format | marc |
spelling | Computability : Turing, Gödel, Church, and beyond / edited by Jack Copeland, Carl Posy, and Oron Shagrir. Cambridge, Massachusetts : The MIT Press, [2013] 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. "In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding. Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics." Print version record. Turing versus Gödel on computability and the mind / B. Jack Copeland and Oron Shagrir -- Computability and arithmetic / Martin Davis -- About and around Computing over the reals / Solomon Feferman -- The Church-Turing "thesis" as a special corollary of Gödel's completeness theorem / Saul A. Kripke -- Computability and constructibility / Carl J. Posy -- After Gödel / Hilary Putnam -- The open texture of computability / Stewart Shapiro -- Gödel's philosophical challenge (to Turing) / Wilfried Sieg -- Interactive computing and relativized computability / Robert Irving Soare -- Why philosophers should care about computational complexity / Scott Aaronson -- Is quantum mechanics falsifiable? A computational perspective on the foundations of quantum mechanics / Dorit Aharonov and Umesh V. Vazirani. English. Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Complexité de calcul (Informatique) Mathématiques Philosophie. COMPUTERS Machine Theory. bisacsh Computational complexity fast Mathematics Philosophy fast COMPUTER SCIENCE/General MATHEMATICS & STATISTICS/General PHILOSOPHY/General Copeland, B. Jack, 1950- editor. http://id.loc.gov/authorities/names/n2003013129 Posy, Carl J., editor. Shagrir, Oron, 1961- editor. http://id.loc.gov/authorities/names/no2005037871 Print version: Computability. Cambridge, Massachusetts : The MIT Press, [2013] 9780262018999 (DLC) 2012039321 (OCoLC)813540892 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=601413 Volltext |
spellingShingle | Computability : Turing, Gödel, Church, and beyond / Turing versus Gödel on computability and the mind / B. Jack Copeland and Oron Shagrir -- Computability and arithmetic / Martin Davis -- About and around Computing over the reals / Solomon Feferman -- The Church-Turing "thesis" as a special corollary of Gödel's completeness theorem / Saul A. Kripke -- Computability and constructibility / Carl J. Posy -- After Gödel / Hilary Putnam -- The open texture of computability / Stewart Shapiro -- Gödel's philosophical challenge (to Turing) / Wilfried Sieg -- Interactive computing and relativized computability / Robert Irving Soare -- Why philosophers should care about computational complexity / Scott Aaronson -- Is quantum mechanics falsifiable? A computational perspective on the foundations of quantum mechanics / Dorit Aharonov and Umesh V. Vazirani. Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Complexité de calcul (Informatique) Mathématiques Philosophie. COMPUTERS Machine Theory. bisacsh Computational complexity fast Mathematics Philosophy fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85029473 http://id.loc.gov/authorities/subjects/sh85082153 |
title | Computability : Turing, Gödel, Church, and beyond / |
title_auth | Computability : Turing, Gödel, Church, and beyond / |
title_exact_search | Computability : Turing, Gödel, Church, and beyond / |
title_full | Computability : Turing, Gödel, Church, and beyond / edited by Jack Copeland, Carl Posy, and Oron Shagrir. |
title_fullStr | Computability : Turing, Gödel, Church, and beyond / edited by Jack Copeland, Carl Posy, and Oron Shagrir. |
title_full_unstemmed | Computability : Turing, Gödel, Church, and beyond / edited by Jack Copeland, Carl Posy, and Oron Shagrir. |
title_short | Computability : |
title_sort | computability turing godel church and beyond |
title_sub | Turing, Gödel, Church, and beyond / |
topic | Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Complexité de calcul (Informatique) Mathématiques Philosophie. COMPUTERS Machine Theory. bisacsh Computational complexity fast Mathematics Philosophy fast |
topic_facet | Computational complexity. Mathematics Philosophy. Complexité de calcul (Informatique) Mathématiques Philosophie. COMPUTERS Machine Theory. Computational complexity Mathematics Philosophy |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=601413 |
work_keys_str_mv | AT copelandbjack computabilityturinggodelchurchandbeyond AT posycarlj computabilityturinggodelchurchandbeyond AT shagriroron computabilityturinggodelchurchandbeyond |