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Godel Kurt:     more books (100)

Kurt Gödel by Rebecca Goldstein, 2006-03-31 Types, Tableaus, and Gödel's God (Trends in Logic) by M. Fitting, 2002-05-31 Memoirs of a Proof Theorist: Gödel and Other Logicians by Gaisi Takeuti, Nicholas Passell, et all 2003-02 Consistency of the Continuum Hypothesis. (AM-3) by Kurt Godel, 1940-09-01 Collected Works: Volume I: Publications 1929-1936 (Collected Works (Oxford)) by Kurt Gödel, 2001-05-31 Incompletezza: Saggio su Kurt Godel (Italian Edition) by Gabriele Lolli, 1992 The Shackles of Conviction: A Novel about Kurt Gödel and his Incompleteness Theorem by James R Meyer, 2008-05-01 Sentences Undecidable in Formalized Arithmetic: An Exposition of the Theory of Kurt Godel by Andrzej Mostowski, 1982-10-21 Kurt Godel: Ein mathematischer Mythos (German Edition) by Werner DePauli-Schimanovich, 1997 Computer Science Logic: 17th International Workshop, CSL 2003, 12th Annual Conference of the EACSL, and 8th Kurt Gödel Colloquium, KGC 2003, Vienna, Austria, ... (Lecture Notes in Computer Science) The Disappearance of Time: Kurt Gödel and the Idealistic Tradition in Philosophy by Palle Yourgrau, 1991-10-25 Computational Logic and Proof Theory: 5th Kurt Gödel Colloquium, KGC'97, Vienna, Austria, August 25-29, 1997, Proceedings (Lecture Notes in Computer Science) Kurt Gödel: Leben und Werk (Computerkultur) (German Edition) by John W. Jr. Dawson, 1999-07-01 Gödel '96: Foundations of Mathematics, Computer Science and Physics?Kurt Gödel's Legacy (Lecture Notes in Logic, 6)

lists with details

21. Math History Project, Kurt Godel
    Kurt Gödel. Welcome to my site on the work of Kurt Gödel! One of thethings we discussed was the Incompleteness Theorem of Kurt Gödel.  
    http://cspar181.uah.edu/RbS/JOB/godel.html

22. LC '98 Abstract: RNDr. Blazena Svandova
    godel kurt, (1931), Uber formal unentscheidbare Satze der Principia Mathematica undverwandter Systeme I, Monatshefte fur Mathematik und Physik,38, 173198 2.  
    http://www.math.cas.cz/~lc98/abstracts/Svandova.html

23. Godel
    Kurt Gödel föddes den 26 april 1906 i Brünn (Brno) och dog i Princeton, NewJersey, den 14 januari 1978. Kurt Gödel var det yngre av två syskon.  
    http://www.nicolai.se/undervisning/fysik/monad/godel.htm

24. Peter Suber, "Kurt Gödel In Blue Hill"
    A brief account of kurt G¶del's trip to Blue Hill, Maine, in the summer of 1942, by Peter Suber.  
    http://www.earlham.edu/~peters/writing/godel.htm
    
    Extractions: This essay originally appeared in the Ellsworth American , August 27, 1992, Section I, p. 2. Peter Suber Ellsworth American serves the Blue Hill area.) For this HTML version I restore the footnotes , which I did not submit to the newspaper, and a sidebar , which the newspaper omitted perhaps for being too technical. 50 Years Later, The Questions Remain Peter Suber Philosophy Department Earlham College The first incompleteness theorem showed that some perfectly well-formed arithmetical statements could never be proved true or false. Worse, it showed that some arithmetical truths could never be proved true. More precisely, for every axiomatic system designed to capture arithmetic, there will be arithmetic truths which cannot be derived from its axioms, even if we supplement the original set of axioms with an infinity of additional axioms. This shattered the assumption that every mathematical truth could eventually be proved true, and every falsehood disproved, if only enough time and ingenuity were spent on them. The second incompleteness theorem showed that axiomatic systems of arithmetic could only be proved consistent by other systems. This made the proof conditional on the consistency of the second system, which in turn could only be validated by a third, and so on. No consistency proof for arithmetic could be final, which meant that our confidence in arithmetic could never be perfect.

25. Homage To Kurt Godel.
    A quick sketch of godel's theorem  
    http://www.chaos.org.uk/~eddy/math/Godel.html
    
    Extractions: The Berry Paradox (a cleaner variant on the `smallest non-interesting number' folly). The crucial technical terms of the discussion: ie it cannot be proven either true or false; in particular that it cannot be proven true. But `that it cannot be proven true' is Consequently, any logical system which can make up its mind about its consistency can prove itself inconsistent (provided it can count -

26. Godel, Escher, Bach Resources
    kurt Gödel. The kurt godel Society. godel's Theorems for Minds and Computers  
    http://www.geocities.com/ResearchTriangle/6100/geb.html

27. Godel
    Read a biography, remembrances and anecdotes about the mathematician whose achievements include proof of the Incompleteness Theorems. kurt Gödel. Born 28 April 1906 in Brünn, AustriaHungary (now Brno, Czech Republic) st- andrews. ac. uk/ history/ References/ godel. html  
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Godel.html
    
    Extractions: Even in High School my brother was somewhat more one-sided than me and to the astonishment of his teachers and fellow pupils had mastered university mathematics by his final Gymnasium years. ... Mathematics and languages ranked well above literature and history. At the time it was rumoured that in the whole of his time at High School not only was his work in Latin always given the top marks but that he had made not a single grammatical error. Hahn Wirtinger Menger Helly and others. As an undergraduate he took part in a seminar run by Schlick which studied Russell 's book Introduction to mathematical philosophy. It became slowly obvious that he would stick with logic, that he was to be Hahn 's student and not Schlick's, that he was incredibly talented. His help was much in demand. He completed his doctoral dissertation under Hahn 's supervision in 1929 and became a member of the faculty of the University of Vienna in 1930, where he belonged to the school of logical positivism until 1938.

28. Godel
    Other Web sites, Vienna, Austria (The home page of the kurt Gödel Society); Karlis ishttp//wwwhistory.mcs.st-andrews.ac.uk/history/References/godel.html.  
    http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Godel.html
    
    Extractions: Even in High School my brother was somewhat more one-sided than me and to the astonishment of his teachers and fellow pupils had mastered university mathematics by his final Gymnasium years. ... Mathematics and languages ranked well above literature and history. At the time it was rumoured that in the whole of his time at High School not only was his work in Latin always given the top marks but that he had made not a single grammatical error. Hahn Wirtinger Menger Helly and others. As an undergraduate he took part in a seminar run by Schlick which studied Russell 's book Introduction to mathematical philosophy. It became slowly obvious that he would stick with logic, that he was to be Hahn 's student and not Schlick's, that he was incredibly talented. His help was much in demand. He completed his doctoral dissertation under Hahn 's supervision in 1929 and became a member of the faculty of the University of Vienna in 1930, where he belonged to the school of logical positivism until 1938.

29. Godel
    Biography from the MacTutor History of Mathematics archive.  
    http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Godel.html
    
    Extractions: Even in High School my brother was somewhat more one-sided than me and to the astonishment of his teachers and fellow pupils had mastered university mathematics by his final Gymnasium years. ... Mathematics and languages ranked well above literature and history. At the time it was rumoured that in the whole of his time at High School not only was his work in Latin always given the top marks but that he had made not a single grammatical error. Hahn Wirtinger Menger Helly and others. As an undergraduate he took part in a seminar run by Schlick which studied Russell 's book Introduction to mathematical philosophy. It became slowly obvious that he would stick with logic, that he was to be Hahn 's student and not Schlick's, that he was incredibly talented. His help was much in demand. He completed his doctoral dissertation under Hahn 's supervision in 1929 and became a member of the faculty of the University of Vienna in 1930, where he belonged to the school of logical positivism until 1938.

30. References For Godel
    Symbolic Logic 1 (1) (1995), 4474. O Taussky-Todd, Remembrances of kurt Gödel,godel remembered Salzburg, 10-12 July 1983 (Naples, 1987), 29-41.  
    http://www-gap.dcs.st-and.ac.uk/~history/References/Godel.html
    
    Extractions: Mathematical logic and its applications (New York-London, 1987), 3-7. The Mathematical Intelligencer Notre Dame J. Formal Logic Notre Dame J. Formal Logic Historia Mathematica S Feferman, Philos. Natur. Historia Mathematica J. Symbolic Logic J. Symbolic Logic Biographical Memoirs of Fellows of the Royal Society of London Bull. Symbolic Logic Godel remembered : Salzburg, 10-12 July 1983 (Naples, 1987), 29-41. Philos. Sci. The Mathematical Intelligencer J. Symbolic Logic Internat. Logic Rev. Main index Birthplace Maps Biographies Index

31. BRNO - Oficialni WWW Stranky - Slavne Osobnosti
    kurt godel filozof, matematik, fyzik. 28. 4. 1906 Brno 14. Do roku 1929,kdy zemrel jeho otec, mel kurt godel i ceskoslovenske obcanstvi.  
    http://www.brno-city.cz/osobnosti/cz_index.php?osobnost=12

32. Godel, Kurt. The Columbia Encyclopedia, Sixth Edition. 2001
    2001. Gödel, kurt. 1. See DR Hofstadter, Gödel, Escher, Bach (1979); H. Wang,Reflections on kurt Gödel (1987); E. Nagel et al., Gödel’s Proof (rev.  
    http://www.bartleby.com/65/go/Godel-Ku.html
    
    Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. l) ( KEY Foundations of Mathematics See D. R. Hofstadter

33. Godel, Kurt. The American Heritage® Dictionary Of The English Language: Fourth
    godel, kurt. The American Heritage® Dictionary ofthe English Language Fourth Edition. 2000.  
    http://www.bartleby.com/61/31/G0173150.html
    
    Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference American Heritage Dictionary goddess ... BIBLIOGRAPHIC RECORD The American Heritage Dictionary of the English Language: Fourth Edition. SYLLABICATION: PRONUNCIATION l DATES: Czech-born American mathematician and logician best known for his proof that the consistency of a mathematical system in which the truths of arithmetic can be expressed cannot be proven from within that system (1931).

34. Godel, Kurt
    godel, kurt 190678, American mathematician and logician, b. Brünn (nowBrno, Czech Republic), grad. Univ. of Vienna (Ph.D., 1930). godel, kurt.  
    http://www.slider.com/enc/22000/Godel_Kurt.htm

35. GODEL, Kurt, Ergebnisse Eines Mathematischen Kolloquiums
    B. L. Rootenberg Rare Books. godel, kurt Ergebnisse eines mathematischenkolloquiums Leipzig Berlin BG Teubner 1931. 5 vols. 8vo  
    http://www.polybiblio.com/blroot/3424.html
    
    Extractions: GODEL, Kurt Ergebnisse eines mathematischen kolloquiums 5 vols. 8vo., 31; 38; 26; 45; 42 pp., Original printed wrappers. "In the early 1930's, Gödel had steadily advanced his knowledge in many areas of logic and mathematics. . . In the period 1932-1936 he published thirteen short but noteworthy papers in that journal on a variety of topics, including intuitionistic logic, the decision problem for the predicate calculus, geometry, and lengths of proofs. Some of the results in logic were to be of lasting interest" (Straus). Gödel provided the key theoretical concepts for modern general purpose digital computers. This item is listed on Bibliopoly by ; click here for further details.

36. EpistemeLinks.com: Encyclopedia And Other References Results
    kurt godel. Born 4/28/1906 Died 1/14/1978. The results of your search for thiscategory are Title, Resource. kurt godel, Oxford Companion to Philosophy.  
    http://www.epistemelinks.com/Main/EncyRefs.aspx?PhilCode=Gode

37. Godel, Kurt
    kurt Gödel. Back to Last Page Glossary Index Related Terms. •philosophy. Name kurt Gödel. Dates Born April 28, 1906  
    http://atheism.about.com/library/glossary/general/bldef_godelkurt.htm

38. Collected Works: Publications 1938-1974; Author: Godel, Kurt; Editor: Kleene, St
    Collected Works Publications 19381974 AuthorGodel, kurt; Editor Kleene, Stephen C.  
    http://www.opengroup.com/phbooks/019/0195039726.shtml

39. TIME 100 Scientists Thinkers - Kurt Gödel
    Mathematician kurt Gödel He turned the lens of mathematics on itself and hit uponhis famous incompleteness theorem driving a stake through the heart of  
    http://www.time.com/time/time100/scientist/profile/godel.html
    
    Extractions: He turned the lens of mathematics on itself and hit upon his famous "incompleteness theorem"driving a stake through the heart of formalism BY DOUGLAS HOFSTADTER The beauty of this mechanistic vision of mathematics was that it eliminated all need for thought or judgment. As long as the axioms were true statements and as long as the rules of inference were truth preserving, mathematics could not be derailed; falsehoods simply could never creep in. Truth was an automatic hereditary property of theoremhood. The set of symbols in which statements in formal systems were written generally included, for the sake of clarity, standard numerals, plus signs, parentheses and so forth, but they were not a necessary feature; statements could equally well be built out of icons representing plums, bananas, apples and oranges, or any utterly arbitrary set of chicken scratches, as long as a given chicken scratch always turned up in the proper places and only in such proper places. Mathematical statements in such systems were, it then became apparent, merely precisely structured patterns made up of arbitrary symbols. Page 2 Page 3

40. Gödel's Incompleteness Theorem
    A related page with some interesting links is Mårten Steinius' GEBPage. You can also look at The kurt Gödel Society. Gödel's  
    http://www.miskatonic.org/godel.html
    
    Extractions: This theorem is one of the most important proven in this century, ranking with Einstein's Theory of Relativity and Heisenberg's Uncertainty Principle. A related page with some interesting links is . You can also look at available on-line . It's also in print in a nice but inexpensive edition from Dover. outside the system in order to come up with new rules an axioms, but by doing so you'll only create a larger system with its own unprovable statements. The implication is that all logical system of any complexity are, by definition, incomplete; each of them contains, at any given time, more true statements than it can possibly prove according to its own defining set of rules. Principia , or any other system within which arithmetic can be developed, is essentially incomplete . In other words, given any consistent set of arithmetical axioms, there are true mathematical statements that cannot be derived from the set... Even if the axioms of arithmetic are augmented by an indefinite number of other true ones, there will always be further mathematical truths that are not formally derivable from the augmented set. Rucker

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