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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.

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 …
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13 votes
Accepted

Is there a non self-referencing non-computable function?

Check this blog post.
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  • 918
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 …
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