gptkbp:instance_of
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gptkb:Research_Institute
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gptkbp:author
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gptkb:Kurt_Gödel
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gptkbp:contains
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proofs
theorems
examples
definitions
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gptkbp:contributed_to
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foundations of mathematics
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gptkbp:discusses
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consistency
axiomatic systems
completeness
formal languages
decidability
formal systems
Hilbert's program
mathematical truth
mathematical provability
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gptkbp:ends_at
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limitations of formal systems
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gptkbp:famous_quote
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First incompleteness theorem
Second incompleteness theorem
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gptkbp:field
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mathematical logic
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gptkbp:historical_significance
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philosophy of mathematics
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https://www.w3.org/2000/01/rdf-schema#label
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Gödel's original paper
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gptkbp:impact
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foundational mathematics
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gptkbp:influenced
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gptkb:philosopher
gptkb:computer_science
cognitive science
linguistics
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gptkbp:influenced_by
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gptkb:David_Hilbert
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gptkbp:is_available_in
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libraries
online archives
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gptkbp:is_cited_in
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gptkb:books
scholarly articles
theses
dissertations
many subsequent works in logic
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gptkbp:is_considered_as
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seminal work
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gptkbp:is_discussed_in
|
gptkb:academic_conferences
workshops
seminars
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gptkbp:is_part_of
|
gptkb:Gödel's_works
mathematical canon
logic canon
|
gptkbp:is_referenced_in
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mathematical literature
|
gptkbp:is_studied_in
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computer science courses
mathematics courses
philosophy courses
|
gptkbp:language
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gptkb:Native_American_tribe
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gptkbp:official_language
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gptkb:Native_American_tribe
|
gptkbp:page_count
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173-198
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gptkbp:published_by
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gptkb:Collected_Works_of_Kurt_Gödel
gptkb:Monatshefte_für_Mathematik
gptkb:Issue_1
Volume 38
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gptkbp:published_year
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1931
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gptkbp:related_concept
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gptkb:Gödel_numbering
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gptkbp:related_to
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gptkb:collection
computability theory
proof theory
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gptkbp:significance
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revolutionized mathematical logic
|
gptkbp:subject
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incompleteness theorems
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gptkbp:technique
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arithmetization
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gptkbp:title
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Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
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gptkbp:translated_into
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English
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gptkbp:bfsParent
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gptkb:Gödel's_first_incompleteness_theorem
gptkb:Gödel's_incompleteness_theorems
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gptkbp:bfsLayer
|
5
|