Home  - Theorems_And_Conjectures - Incompleteness Theorem

Books Baby Camera Phones Computers Games DVD Electronics Kitchen Magazines Music Garden Software Tools Toys Video Apparel & Accessories Jewelry & Watches Musical Instruments Health & Personal Care Beauty Sports & Outdoors Office Products

e99.com Bookstore

Images

Newsgroups

81-88 of 88    Back | 1  | 2  | 3  | 4  | 5

Incompleteness Theorem:     more books (36)

Godel's Incompleteness Theorems (Oxford Logic Guides) by Raymond M. Smullyan, 1992-08-20 There's Something About Godel: The Complete Guide to the Incompleteness Theorem by Francesco Berto, 2009-11-16 The Shackles of Conviction: A Novel about Kurt Gödel and his Incompleteness Theorem by James R Meyer, 2008-05-01 Aspects of Incompleteness Lecture Notes in Logic 10 (Lecture Notes in Logic, 10) by Per Lindstrom, 2003-11 Aspects of Incompleteness (Lecture Notes in Logic) by Per Lindstroem, 1997-01-15 Proof Theory: Gödel's Incompleteness Theorems The Incompleteness Phenomenon by Martin Goldstern, Haim Judah, 1995-06-15 Godel's Incompleteness Theorem; Little Mathematics Library by V. A. Uspensky, 1987 Number Theory and Mathematical Logic: Godel's Incompleteness Theorems by OU Course Team, 2004-01-01 Typographical Number Theory: Axiom, Natural Numbers, Douglas Hofstadter, Gödel, Escher, Bach, Peano Arithmetic, Gödel's Incompleteness Theorems Metatheorems: Entscheidungsproblem, Gödel's Completeness Theorem, Compactness Theorem, Gödel's Incompleteness Theorems Godel's Incompleteness Theorems by Open University Course Team, 2009-05-16 Kolmogorov complexity: English language, Complexity, Turing completeness, Godel´s incompleteness theorems, Halting problem, Grammar induction, List of ... in theoretical computer science. Mathematical Logic: Proofs of Completeness and Incompleteness: An entry from Gale's <i>Science and Its Times</i> by Eric V. D. Luft, 2000

lists with details

81. Incompleteness
    incompleteness theorem No complete truth exists. Paradoxes can alwaysbe found. Even accepted theories contain unreliable propositions.  
    http://artsci-ccwin.concordia.ca/edtech/ETEC606/principles/godel.html

82. Why Penrose Is Wrong About The Computability Of Human Mathematics
    mathematicians are noncomputable. Godel's incompleteness theorem. Hereis a brief description and proof of Godel's incompleteness theorem.  
    http://www.1729.com/consciousness/godel.html
    
    Extractions: In his book "Shadows of the Mind", Roger Penrose details an argument based on Godel's Incompleteness theorem to prove that the mathematical capabilities of human mathematicians are non-computable. Here is a brief description and proof of Godel's Incompleteness Theorem. Let X and Y be members of a data language D whose members can be used to represent executable programs that act on elements of D A program X applied to input data Y is written X(Y), and may or may not terminate in a finite number of steps. Let pair Let F be a function with the following property - if F (X,Y) terminates, then X(Y) does not terminate. Such an F is to be called consistent If the converse holds for such an F, i.e. then we call F complete. Godel's theorem tells us that there is no F which is both consistent and complete. Proof - Let F be consistent, and define G such that G(X)=F(X,X). Then G(G) = F (G,G), and if G(G) terminates then this implies G(G) does not terminate. Which is a contradiction, so we conclude that G(G) does not terminate.

83. EducationGuardian.co.uk | Maths | Lost Innocence
    (Albert Einstein ended up as Time's person of the century.). Gödel is best knownfor his discovery, in 1931, of the famous Gödel incompleteness theorem.  
    http://education.guardian.co.uk/higher/maths/story/0,9842,478766,00.html
    
    Extractions: Go to: Guardian Unlimited home UK news World news Archive search Arts Books Business EducationGuardian.co.uk Film Football Jobs MediaGuardian.co.uk Money The Observer Online Politics Shopping SocietyGuardian.co.uk Sport Talk Travel Audio Special reports The Guardian The weblog Email services The informer The northerner The wrap Crossword Headline service Syndication services Events / offers Help / contacts Information Newsroom Style guide Travel offers TV listings Weather Web guides Guardian Weekly Money Observer Because mathematics deals with abstractions, you cannot establish mathematical facts by making observations in the world or by performing experiments the way other scientists do. You have to use proofs - logically sound arguments. Those arguments have to start somewhere. So, you start off by writing down some initial set of basic assumptions, known as axioms. The axioms are supposed to be so simple that their truth is beyond question. Things like, two straight lines are either parallel or else meet in exactly one point, or when you add two numbers it does not matter which one goes first. (The first of these two examples turned out to be less "obviously true" than first appeared, but that's another story.)

84. MT5582 Syllabus
    Gödel's first incompleteness theorem. Applications of the incompleteness theoremto show the undecidability of the predicate calculus and other axiom systems.  
    http://www.ma.man.ac.uk/DeptWeb/MScCourses/Logic/Syllabus/mt5582.html
    
    Extractions: Credit rating Two lectures each week and a fortnightly tutorial, plus a reading assignment. General Description Can a computer be programmed to generate all true statements of mathematics and no false ones? An extraordinary result, proved by Kurt Gödel in 1931, shows that even if we restrict ourselves to the most fundamental part of mathematics, namely statements about the natural numbers, the answer to the above question is no. Moreover Gödel's method is such that given any "mechanical procedure" for generating true statements about the natural numbers we are actually able to construct a true statement about numbers which will not be generated by that procedure. Aims Prerequisites MT5151 or a familiarity with the predicate calculus up to the completeness theorem. Syllabus The completeness theorem for the predicate calculus: a review. [1] Recursive functions and relations. Basic properties. Primitive recursion. Closure under bounded quantification. [4] Applications of the incompleteness theorem to show the undecidability of the predicate calculus and other axiom systems. Examples of decidable theories. [6]

85. Yggdrasil's WN Library
    Recently published on the Electronic Bookshelf are Schiller's Wilhelm Tell,Orwell's Animal Farm, and Gödel's Undecidability theorem. RELATED SITES.  
    http://www.ddc.net/ygg/etext/godel/

86. An Incompleteness Theorem For Calculating The Future
    Warning php_hostconnect connect failed in /disk0/www.02Jul02/local/lib/FX.phpon line 485 Warning fopen( http//..192.12.12.338080/FMPro?db  
    http://www.santafe.edu/sfi/publications/wpabstract/199603008
    
    Extractions: Title: An Incompleteness Theorem for Calculating the Future Author(s): David H. Wolpert Files: postscript Paper #: Abstract: Keywords: uncompatibility, incompleteness, time-series analysis, indecidability Return to the 1996 working papers list. SFI Home Page Business Network Education Employment ... Find Us

87. Scientific American: Ask The Experts: Mathematics: What Is Godel's Theorem?
    KURT GODEL achieved fame in 1931 with the publication of his IncompletenessTheorem. Giving a mathematically precise statement of  
    http://www.sciam.com/askexpert_question.cfm?articleID=0002F4F1-B4F3-1C71-9EB7809

88. Godel, Escher, Bach Resources
    Gödel, Escher, Bach. A list of resources for readers of the book Gödel,Escher, Bach An Eternal Golden Braid by Douglas R. Hofstadter.  
    http://www.geocities.com/ResearchTriangle/6100/geb.html

81-88 of 88    Back | 1  | 2  | 3  | 4  | 5