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user 7589
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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Formulas for the liar paradox
The liar paradox could be expressed in Church's original lambda calculus of 1932. Let $F$ be the function
$\lambda x. \sim x(x)$
Then $F(P) = \sim P(P)$ for any function $P$. In particular,
$F(F) …
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