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Explore the fundamental requirements for life-like properties through simple physical models in this colloquium lecture that examines the paradox of evolutionary complexity. Delve into how life simultaneously emerges from and drives evolutionary processes, while confronting the challenge that reproduction with heritable variation—essential for Darwinian evolution—depends on sophisticated mechanisms that themselves evolved over time. Investigate minimal physical models designed to isolate and understand the basic components necessary for evolutionary features, providing insights into both the nature of life and its potential origins. Learn how these simplified frameworks help clarify the essential requirements for life-like behavior by stripping away the complexity of existing biological systems while retaining their fundamental evolutionary characteristics.