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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.

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Is there a relational countable ultra-homogeneous structure whose countable substructures do...

An example is the "complete rainbow graph without monochromatic triangles". Let $L = \{R_i : i \in \omega\}$ be a language consisting of $\omega$-many binary relation symbols $R_i$, and take the class …
Rob Sullivan's user avatar