I Proof Theory.- Some Facts from the Theory of Proofs and Some Fictions from General Proof Theory.- Proofs and the Meaning and Completeness of the Logical Constants.- Theory of Quantification and ‰-calculi.- Two Kinds of Extensions of Primitive Recursive Arithmetic.- Equality in the Presence of Apartness.- II Infinitary Languages.- Game-Theoretical Semantics and Back-and-Forth.- Infinitary Languages N?? and Generalized Partial Isomorphisms.- III Set Theory and Model Theory.- Generalizing Set-Theoretical Model Theory and an Analogue Theory on Admissible Sets.- Hierarchies of Model Theoretic Definability — An Approach to Second Order Logics.- Open Problems in the Theory of Ultrafilters.- IV Generalized Quantifiers.- The Reals Cannot Be Characterized Topologically with Strictly Local Properties and Countability Axioms.- On the Expressive Power of the Language Using the Henkin Quantifier.- Remarks on Free Quantifier Variables.- V Recursion Theory.- Recursion in 3E and a Splitting Theorem.- Retracts of Post’s Numbering and Effectivization of Quantifiers.- VI Logic and Natural Language.- Quantifiers in Natural Languages: Some Logical Problems, I.- Models for Natural Languages.- Backwards-Looking Operators in Tense Logic and in Natural Language.- VII Philosophical Logic.- Paradoxes in a Semantic Perspective.- Hintikka’s Possible Worlds and Rigid Designators.- On the Content Analysis of Two Normative Notions.- Singular Terms, Existence and Truth: Some Remarks on a First Order Logic of Existence.- VIII Truthlikeness.- On Distance From the Truth as a True Distance.- Truthlikeness in First-Order Languages.- Index of Names.