Explore the second lecture in the graduate course on O-minimality and Applications, delivered by Gareth Jones from the University of Manchester. Delve into the intricacies of O-minimality and the Pila-Wilkie Theorem as part of the Fields Institute's comprehensive series. Gain advanced insights into this mathematical topic through a 48-minute presentation that builds upon the foundations laid in the previous lecture. Enhance your understanding of tame geometry and its applications in this in-depth exploration of cutting-edge mathematical concepts.