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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.
13
votes
2
answers
2k
views
Ordinals that are not sets
The class of all ordinal numbers $\mathbf{Ord}$, aside being a proper class, can be thought of an ordinal number (of course it contains all ordinal numbers that are sets, not itself). Then one could c …
4
votes
increasing bijection
The Stern-Brocot tree gives a representation of (Q+,<) as infinite binary search tree. One can create another infinite binary search tree with 0 on top, positive rationals on right and negative ones o …
13
votes
Accepted
Is there a non self-referencing non-computable function?
Check this blog post.