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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
16
votes
Metamathematics of buts
(not enough reputation to comment)
I would understand "but" to introduce some unexpected consequences (against implicit assumptions) of the truth value of a claim, or that there are some other element …
4
votes
1
answer
206
views
Extending the class of primitive recursive functions with higher order recursion schema
I'm trying to extend the class of primitive recursive functions by extending the recursion schema over higher types.
We usually define the class of primitive recursive functions by using zero function …