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A formal theory that does not derive a contradiction.
wp-consistent-theoryopenlogic-incompletenessEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Consistency requires that contradiction is not derivable.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
openlogic-incompletenessEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Require syntactic consistency of the same first-order theory under its specified proof calculus.
Feed several structures into a construction junction and impose compatibility between them.
wp-godel-completeness-theoremnlab-completeness-theoremopenlogic-model-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Require consistency of that same formal theory.
Feed several structures into a construction junction and impose compatibility between them.
openlogic-incompletenessgodel-incompleteness-paperThis is an authored directed relation from the source endpoint to the target endpoint.
Require consistency of that same formal theory.
Feed several structures into a construction junction and impose compatibility between them.
openlogic-incompletenessgodel-incompleteness-paper