Volker Halbach 

home  contact  publications  teaching  Logic Manual  Luxemburger Zirkel  Philosophy of Mathematics seminar  Nordic Logic Summer School 


Third Nordic Logic Summer School 2017Truth & ParadoxYou can find here my teaching materials for my course Truth & Paradox at the summer school. About the courseIn the five sessions I will provide an introduction to the paradoxes and formal theories of truth and other modal notions. The material should be accessible to anyone with a knowledge of the basics of firstorder logic; that is, participants should be familiar with a formal proof system such as Natural Deduction, a tableaux system, an axiomatic (Hilbert style) or sequent calculus. Knowledge of the semantics of firstorder predicate logic (definition of satisfaction in a model) and propositional modal logic is useful, but not required. In particular, I do not presuppose any knowledge of arithmetization and the Gödel incompleteness theorems. My presentation does not rely on the arithmetization of syntax theory. Instead I will present an axiomatic theory of syntax that will be explained in detail. Thereby I completely avoid the need to go through the difficult parts of the proof of Gödel's diagonal lemma. Topics to be covered include:
Here is a very preliminary draft of my pdf slides. They will still change and be expanded significantly. Much of the material is taken from a book draft coauthored with Graham Leigh. 