Proof Society 2025

Tutorial

The ubiquitous interpretation

Albert Visser
Utrecht University

on  Tue, 14:30in  Class A (Zaal 1.05)for  60min and on  Wed, 10:00in  Class A (Zaal 1.05)for  60min and on  Wed, 14:30in  Class A (Zaal 1.05)for  60min

In this introduction, we start with a number of examples to illustrate various features of interpretations. This is followed by a sketch of a definition of interpretation. In the second lecture, we discuss certain categories of interpretations. We show how isomorphism in these categories delivers good notions of sameness of theories. We will explain the Interpretation Existence Lemma and, if time allows it, the Orey-Hájek and the Friedman characterisation of interpretability. In the third lecture, we zoom in on the connection between the Second Incompleteness Theorem and interpretations.

Slides for Lecture 1.

Download the abstract.

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