Gödel's incompleteness theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible.
known for
Wikipage disambiguates
Arithmetization of syntaxBewFirst incompleteness theoremGodel's Incompleteness TheoremGodel's Incompleteness TheoremsGodel's TheoremGodel's Undecidability theoremGodel's consistency theoremGodel's diagonalization methodGodel's first incompleteness theoremGodel's incompleteness TheoremGodel's incompleteness theoremGodel's incompleteness theoremsGodel's incompleteness theoryGodel's second incompleteness theoremGodel-Rosser theoremGodel first incompleteness theoremGodel incompletenessGodel incompleteness theoremGodel incompleteness theoremsGodel incompleteness theormGodel second incompleteness theoremGodel sentenceGodel theoremGodel theoremsGodels theoremGodel’s incompleteness theoremGodel’s incompleteness theoremsGoedel's Incompleteness TheoremGoedel's TheoremGoedel's diagonalization methodGoedel's first incompleteness theoremGoedel's incompleteness theoremGoedel's incompleteness theoremsGoedel's incompleteness theoryGoedel's proofGoedel's second incompleteness theoremGoedel's theoremGoedel's theoremsGoedel first incompleteness theorem
Wikipage redirect
20th century20th century in scienceActor–network theoryAda LovelaceAlexey IvakhnenkoAlfred_North_WhiteheadAlfred TarskiAlgorithmic information theoryAndrzej_GrzegorczykAnti-realismAreas of mathematicsArithmetization of syntaxAutomated reasoningAutomated theorem provingAxiomAxiom of infinityAxiom schema of replacementAxiomatic systemBEWBarber paradoxBerry paradoxBertrand Russell's philosophical viewsBewBrouwer–Heyting–Kolmogorov interpretationBusy beaverCalculus of constructionsCantor's diagonal argumentCausal decision theoryCertaintyChaitin's constantChinese remainder theoremCodeCognitive closure (philosophy)Cognitivism (psychology)Complete theoryCompleteness (logic)Computability theoryComputable setComputably inseparableComputational irreducibility
Link from a Wikipage to another Wikipage
seeAlso
primaryTopic
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible.
has abstract
Chruthaigh an matamataiceoir M ...... hoinne a fháil amach i gcónaí.
@ga
De onvolledigheidsstellingen v ...... en de wiskunde een nieuw elan.
@nl
Der Gödelsche Unvollständigkei ...... ig exemplarisch hervorgehoben.
@de
En lògica matemàtica, els teor ...... de cap altre sistema més fort.
@ca
Gödel's incompleteness theorem ...... to solve the halting problem.
@en
Gödelovy věty o neúplnosti jso ...... aritmetiku přirozených čísel.
@cs
Gödels ofullständighetsteorem ...... er kan visas vara, konsistent.
@sv
In logica matematica, i teorem ...... emi formali non possono avere.
@it
La teoremoj de nekompleteco es ...... raŭdirecon de tiu sistemo mem.
@eo
Les théorèmes d'incomplétude d ...... tre pas sa propre cohérence ».
@fr
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,024,741,992
Link from a Wikipage to another Wikipage
id
p/g044530
@en
title
Gödel incompleteness theorem
@en
wikiPageUsesTemplate
subject
hypernym
type
comment
Chruthaigh an matamataiceoir M ...... hoinne a fháil amach i gcónaí.
@ga
De onvolledigheidsstellingen v ...... en de wiskunde een nieuw elan.
@nl
Der Gödelsche Unvollständigkei ...... ischen Mathematiker Kurt Gödel
@de
En lògica matemàtica, els teor ...... per demostrar-se a si mateix.
@ca
Gödel's incompleteness theorem ...... all mathematics is impossible.
@en
Gödelovy věty o neúplnosti jso ...... 931 rakouský logik Kurt Gödel.
@cs
Gödels ofullständighetsteorem ...... sats till det första teoremet:
@sv
In logica matematica, i teorem ...... i limitativi, che precisano le
@it
La teoremoj de nekompleteco es ...... raŭdirecon de tiu sistemo mem.
@eo
Les théorèmes d'incomplétude d ...... t par le programme de Hilbert.
@fr
label
Cruthú Gödel
@ga
Gödel's incompleteness theorems
@en
Gödelovy věty o neúplnosti
@cs
Gödels ofullständighetssatser
@sv
Gödelscher Unvollständigkeitssatz
@de
Onvolledigheidsstellingen van Gödel
@nl
Teorema d'incompletesa de Gödel
@ca
Teorema ketaklengkapan Gödel
@in
Teoremas da incompletude de Gödel
@pt
Teoremas de incompletitud de Gödel
@es