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This lecture explores the concept of complex systems, focusing on the dimension, strange attractors, and the features of epidemics. It delves into the drawbacks of box dimension, mathematical issues, and the correlation between dimensions. The presentation discusses the properties of complex systems, the emergence of behavior, and classical models of epidemic spread. The instructor emphasizes the intricate connections between individuals in defining the structure of epidemics, highlighting the influence of psychological and cognitive factors. The lecture also covers the spreading of diseases as a complex phenomenon, where contagion plays a significant role in the behavior of epidemics.