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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
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809 views

Category theorists stance on deductive systems

Lambek & Scott: Introduction to higher order categorical logic says that "For example, categorists may be unhappy when we treat categories as special kinds of deductive systems and logicians may …
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2 votes
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The premises of Aczel's inductive definitions

This is a follow-up to https://stackoverflow.com/questions/49650053/are-inductive-definitions-finitely-generated-in-isabelle As I said there, Aczel writes in his paper An Introduction to Inductive D …
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  • 289