Explore a comprehensive lecture on model theory, focusing on its principles and applications in geometric stability theory and o-minimality. Delve into the foundations of this mathematical discipline as presented by Boris Zilber from Oxford University. Gain insights into the historical development, key concepts, and formal aspects of model theory. Examine the importance of categoricity, classification theory, and o-minimality in relation to algebraic and analytic complex geometry. Discover the connections between model theory and arithmetic aspects, including the Tarski-Seidenberg theorem and differentially closed fields. Engage with thought-provoking questions and explore the implications of model theory in various mathematical domains.