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This lecture explores the historical evolution of world population and economic growth, emphasizing the challenges and opportunities presented by the current trends. It delves into the impact of declining fertility rates, the relationship between GDP and population growth, and the implications of an extractive economy on planetary boundaries. The instructor discusses the lessons learned from past growth patterns, the need for a sustainable economic model, and the risks associated with exceeding planetary boundaries. By analyzing data and models, the lecture highlights the uncertainties and risks posed by current socio-economic systems and emphasizes the importance of transitioning towards a more sustainable approach.