Today I gave a talk at the Graduate student seminar on some recent combinatorial results that produce sequences that grow *very *fast (in a precise sense). The talk is titled **Very large finite numbers **and here is the .pdf file.

It is based on two recent papers of mine that can be found on my papers page: *Regressive functions on pairs*, that has been submitted to the European Journal of Combinatorics, and *Goodstein’s function*, that appeared in Revista Colombiana de Matemáticas **41 (2)**(2007), 381-391.

For a nice introduction to incompleteness and Goodstein’s theorem, see Will Sladek’s paper here.