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Inferential undecidablity is that not every proposition can be proved or disproved in the most powerful foundational theories. For example, the proposition Ha
by ProfHewitt 5y ago
Inferential undecidablity is that not every proposition can be
proved or disproved in the most powerful foundational theories.
For example, the proposition Halt[e] means that evaluation
of the expression e halts. It is not the case for every
expression e that the following holds:
*Halt*[e} is provable
or
not *Halt*[e] is provable.
Inferential incompleteness is that there are true propositions
in a foundational theories can cannot be proved. For example,
the following proposition is true but unprovable:
Theorems can be enumerated.
See the following for more information:
https://papers.ssrn.com/abstract=3603021 https://papers.ssrn.com/abstract=3603021