Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Kurt_Gödel> ?p ?o }
- Kurt_Gödel abstract "Kurt Friedrich Gödel (/ˈkɜrt ɡɜrdəl/; German: [ˈkʊʁt ˈɡøːdəl]; April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher. Considered with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, A. N. Whitehead, and David Hilbert were pioneering the use of logic and set theory to understand the foundations of mathematics.Gödel published his two incompleteness theorems in 1931 when he was 25 years old, one year after finishing his doctorate at the University of Vienna. The first incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example Peano arithmetic), there are true propositions about the naturals that cannot be proved from the axioms. To prove this theorem, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers.He also showed that neither the axiom of choice nor the continuum hypothesis can be disproved from the accepted axioms of set theory, assuming these axioms are consistent. The former result opened the door for mathematicians to assume the axiom of choice in their proofs. He also made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.".
- Kurt_Gödel almaMater University_of_Vienna.
- Kurt_Gödel award Albert_Einstein_Award.
- Kurt_Gödel award British_Academy.
- Kurt_Gödel award National_Medal_of_Science.
- Kurt_Gödel award Royal_Society.
- Kurt_Gödel birthDate "1906-04-28".
- Kurt_Gödel birthName "Kurt Friedrich Gödel".
- Kurt_Gödel birthPlace Austria-Hungary.
- Kurt_Gödel birthPlace Brno.
- Kurt_Gödel birthYear "1906".
- Kurt_Gödel citizenship Austria.
- Kurt_Gödel deathDate "1978-01-14".
- Kurt_Gödel deathPlace Princeton,_New_Jersey.
- Kurt_Gödel deathYear "1978".
- Kurt_Gödel doctoralAdvisor Hans_Hahn_(mathematician).
- Kurt_Gödel field Mathematical_logic.
- Kurt_Gödel field Mathematics.
- Kurt_Gödel knownFor Continuum_hypothesis.
- Kurt_Gödel knownFor Gxc3xb6dels_completeness_theorem.
- Kurt_Gödel knownFor Gxc3xb6dels_incompleteness_theorems.
- Kurt_Gödel knownFor Gxc3xb6dels_ontological_proof.
- Kurt_Gödel knownFor Gödel_metric.
- Kurt_Gödel thumbnail Kurt_gödel.jpg?width=300.
- Kurt_Gödel wikiPageExternalLink Todd.pdf.
- Kurt_Gödel wikiPageExternalLink Br%C3%BCnn&oldid=447734.
- Kurt_Gödel wikiPageExternalLink goedel.
- Kurt_Gödel wikiPageExternalLink dawson.
- Kurt_Gödel wikiPageExternalLink gregory_chaitin_interview.htm.
- Kurt_Gödel wikiPageExternalLink 1807626.htm.
- Kurt_Gödel wikiPageExternalLink 200604-toc.html.
- Kurt_Gödel wikiPageExternalLink goldstein05_index.html.
- Kurt_Gödel wikiPageExternalLink godel_fom.html.
- Kurt_Gödel wikiPageExternalLink godel_phil_view.html.
- Kurt_Gödel wikiPageExternalLink gdel-kurt.pdf.
- Kurt_Gödel wikiPageExternalLink 050228crat_atlarge.
- Kurt_Gödel wikiPageExternalLink photo_gallery.htm.
- Kurt_Gödel wikiPageID "16736".
- Kurt_Gödel wikiPageLength "36744".
- Kurt_Gödel wikiPageOutDegree "236".
- Kurt_Gödel wikiPageRevisionID "682440042".
- Kurt_Gödel wikiPageWikiLink A._N._Whitehead.
- Kurt_Gödel wikiPageWikiLink Adolf_Hitler.
- Kurt_Gödel wikiPageWikiLink Albert_Einstein.
- Kurt_Gödel wikiPageWikiLink Albert_Einstein_Award.
- Kurt_Gödel wikiPageWikiLink Albert_Einsteins_field_equations.
- Kurt_Gödel wikiPageWikiLink Alfred_North_Whitehead.
- Kurt_Gödel wikiPageWikiLink American_Mathematical_Society.
- Kurt_Gödel wikiPageWikiLink Anschluss.
- Kurt_Gödel wikiPageWikiLink Anselm_of_Canterbury.
- Kurt_Gödel wikiPageWikiLink Aristotle.
- Kurt_Gödel wikiPageWikiLink Association_for_Symbolic_Logic.
- Kurt_Gödel wikiPageWikiLink Austria.
- Kurt_Gödel wikiPageWikiLink Austria-Hungary.
- Kurt_Gödel wikiPageWikiLink Axiom.
- Kurt_Gödel wikiPageWikiLink Axiom_of_choice.
- Kurt_Gödel wikiPageWikiLink Axiomatic_set_theory.
- Kurt_Gödel wikiPageWikiLink Axiomatic_system.
- Kurt_Gödel wikiPageWikiLink Axioms.
- Kurt_Gödel wikiPageWikiLink BBC.
- Kurt_Gödel wikiPageWikiLink Baruch_Spinoza.
- Kurt_Gödel wikiPageWikiLink Bertrand_Russell.
- Kurt_Gödel wikiPageWikiLink Blue_Hill,_Maine.
- Kurt_Gödel wikiPageWikiLink Bologna.
- Kurt_Gödel wikiPageWikiLink British_Academy.
- Kurt_Gödel wikiPageWikiLink Brno.
- Kurt_Gödel wikiPageWikiLink Category:1906_births.
- Kurt_Gödel wikiPageWikiLink Category:1978_deaths.
- Kurt_Gödel wikiPageWikiLink Category:20th-century_mathematicians.
- Kurt_Gödel wikiPageWikiLink Category:20th-century_philosophers.
- Kurt_Gödel wikiPageWikiLink Category:20th-century_poets.
- Kurt_Gödel wikiPageWikiLink Category:American_logicians.
- Kurt_Gödel wikiPageWikiLink Category:American_mathematicians.
- Kurt_Gödel wikiPageWikiLink Category:American_people_of_Austrian_descent.
- Kurt_Gödel wikiPageWikiLink Category:American_philosophers.
- Kurt_Gödel wikiPageWikiLink Category:Austrian_emigrants_to_the_United_States.
- Kurt_Gödel wikiPageWikiLink Category:Austrian_logicians.
- Kurt_Gödel wikiPageWikiLink Category:Austrian_mathematicians.
- Kurt_Gödel wikiPageWikiLink Category:Austrian_people_of_Moravian-German_descent.
- Kurt_Gödel wikiPageWikiLink Category:Austrian_philosophers.
- Kurt_Gödel wikiPageWikiLink Category:Burials_at_Princeton_Cemetery.
- Kurt_Gödel wikiPageWikiLink Category:Deaths_by_starvation.
- Kurt_Gödel wikiPageWikiLink Category:Foreign_Members_of_the_Royal_Society.
- Kurt_Gödel wikiPageWikiLink Category:Institute_for_Advanced_Study_faculty.
- Kurt_Gödel wikiPageWikiLink Category:National_Medal_of_Science_laureates.
- Kurt_Gödel wikiPageWikiLink Category:Ontologists.
- Kurt_Gödel wikiPageWikiLink Category:People_from_Brno.
- Kurt_Gödel wikiPageWikiLink Category:Platonists.
- Kurt_Gödel wikiPageWikiLink Category:Princeton_University_faculty.
- Kurt_Gödel wikiPageWikiLink Category:Set_theorists.
- Kurt_Gödel wikiPageWikiLink Category:University_of_Notre_Dame_faculty.
- Kurt_Gödel wikiPageWikiLink Category:University_of_Vienna_alumni.
- Kurt_Gödel wikiPageWikiLink Category:Vienna_Circle.
- Kurt_Gödel wikiPageWikiLink Citizenship_in_the_United_States.
- Kurt_Gödel wikiPageWikiLink Classical_logic.
- Kurt_Gödel wikiPageWikiLink Closed_time-like_curve.
- Kurt_Gödel wikiPageWikiLink Closed_timelike_curve.
- Kurt_Gödel wikiPageWikiLink Completeness_(logic).
- Kurt_Gödel wikiPageWikiLink Computability_theory.
- Kurt_Gödel wikiPageWikiLink Computable_function.