A Proof-Theoretic Approach to Slow Consistency
- Date: Wednesday 29 March 2017, 14:00 – 15:30
- Location: Mathematics Level 8, MALL 1 & 2, School of Mathematics
- Type: Proofs, Constructions and Computations, Seminars, Pure Mathematics
- Cost: Free
Anton Freund, University of Leeds. Part of the proofs, constructions and computations seminar series.
The slow consistency statement for Peano Arithmetic, due to S.-D. Friedman, Rathjen and Weiermann, is strictly weaker than the usual consistency statement (but still unprovable in Peano Arithmetic). So far, all proofs of this fact use model-theoretic results of Solovay or Sommer. I will present a new argument that relies on proof-theoretic methods, thus extending the toolbox for further applications.
Anton Freund, University of Leeds