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Index
Table of Contents
Basic First-Order Logic
Syntax
Syntax Facts
Natural Deduction
Natural Deduction Facts
Tarski Semantics
Tarski Soundness
Kripke Semantics
Kripke Soundness
Heyting Semantics
Heyting Soundness
Peano Arithmetic
Eliminating excluded middle
Completeness
Henkin Constructions
Tarski Completeness
Kripke Completeness
MacNeille Completion
Lindenbaum Algebra
Heyting Completeness
Boolean Completeness
Undecidability
The Entscheidungsproblem
Signature Minimisation
Trakhtenbrot's Theorem
Peano Arithmetic
Set Theory
Incompleteness
Church's Thesis
Abstract Incompleteness
Church's Thesis for Q
Essential Incompleteness of Q