TY - GEN N2 - "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." AB - "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." T1 - Computability :Turing, Gödel, Church, and beyond / DA - [2013] CY - Cambridge, Massachusetts : AU - Copeland, B. Jack, AU - Posy, Carl J., AU - Shagrir, Oron, CN - QA267.7 PB - The MIT Press, PP - Cambridge, Massachusetts : PY - [2013] ID - 1385509 KW - Computational complexity. KW - Mathematics KW - COMPUTER SCIENCE/General KW - MATHEMATICS & STATISTICS/General KW - PHILOSOPHY/General SN - 9781461931843 SN - 1461931843 SN - 0262312670 SN - 9780262312677 SN - 9780262312660 SN - 0262312662 SN - 1299688004 SN - 9781299688001 SN - 9780262312684 SN - 0262312689 TI - Computability :Turing, Gödel, Church, and beyond / LK - https://univsouthin.idm.oclc.org/login?url=https://doi.org/10.7551/mitpress/8009.001.0001?locatt=mode:legacy LK - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf UR - https://univsouthin.idm.oclc.org/login?url=https://doi.org/10.7551/mitpress/8009.001.0001?locatt=mode:legacy UR - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf ER -