TY - BOOK ID - 77944217 TI - Thinking about Godel and Turing : essays on complexity, 1970-2007 PY - 2007 SN - 1281918679 9786611918675 9812708979 9789812708977 9789812708960 9812708960 9789812708953 9812708952 PB - Singapore ; Hackensack, NJ : World Scientific, DB - UniCat KW - Godel's theorem. KW - Incompleteness theorems. KW - Logic, Symbolic and mathematical. KW - Metamathematics. KW - Computational complexity. KW - Algebra of logic KW - Logic, Universal KW - Mathematical logic KW - Symbolic and mathematical logic KW - Symbolic logic KW - Mathematics KW - Algebra, Abstract KW - Metamathematics KW - Set theory KW - Syllogism KW - Theorems, Incompleteness KW - Constructive mathematics KW - Proof theory KW - Complexity, Computational KW - Electronic data processing KW - Machine theory KW - Logic, Symbolic and mathematical KW - Gödel's incompleteness theorem KW - Undecidable theories KW - Arithmetic KW - Completeness theorem KW - Incompleteness theorems KW - Number theory KW - Decidability (Mathematical logic) KW - Philosophy KW - Foundations UR - https://www.unicat.be/uniCat?func=search&query=sysid:77944217 AB - Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as Gödel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size co ER -