Gödel's completeness theorem
GPTKB entity
Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Kurt_Gödel
|
| gptkbp:applies_to |
first-order logic
|
| gptkbp:developed_by |
gptkb:Kurt_Gödel
|
| gptkbp:exhibited_at |
Gödel's original proof
|
| gptkbp:has_programs |
gptkb:computer_science
|
| gptkbp:historical_debate |
every consistent set of first-order sentences has a model
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gödel's completeness theorem
|
| gptkbp:is_a |
theorem in mathematical logic
foundational result result of Gödel's work result in logic result of formal logic theorem concerning models theorem in first-order logic |
| gptkbp:is_associated_with |
completeness of logical systems
|
| gptkbp:is_cited_in |
philosophical discussions
numerous mathematical papers textbooks on mathematical logic |
| gptkbp:is_compared_to |
gptkb:Gödel's_incompleteness_theorems
|
| gptkbp:is_connected_to |
axiomatic systems
|
| gptkbp:is_considered_as |
logicians
a cornerstone of mathematical logic |
| gptkbp:is_described_as |
textbooks on logic
|
| gptkbp:is_discussed_in |
gptkb:academic_journal
logic conferences logic seminars |
| gptkbp:is_essential_for |
proof theory
|
| gptkbp:is_explored_in |
research papers
graduate studies |
| gptkbp:is_fundamental_to |
model theory
the study of formal systems |
| gptkbp:is_influential_in |
philosophy of mathematics
mathematical philosophy |
| gptkbp:is_part_of |
theoretical computer science
foundations of mathematics the history of logic the study of formal proofs |
| gptkbp:is_reflected_in |
the development of model theory
|
| gptkbp:is_related_to |
axiomatic set theory
decidability Hilbert's program proofs of consistency logical consequence semantic entailment |
| gptkbp:is_represented_in |
gptkb:High_School
|
| gptkbp:is_used_in |
mathematical logic
the study of computability |
| gptkbp:is_used_to |
analyze logical frameworks
validate logical systems |
| gptkbp:published_by |
gptkb:1930
|
| gptkbp:training |
university courses on logic
|