Provide a detailed theoretical analysis of Nick Bostrom's Simulation Argument. Break down the three choices of the trilemma: 1. Civilizations go extinct before reaching post-human stage. 2. Post-human civilizations have no interest in running simulations. 3. We are almost certainly living in a simulation. Discuss the mathematical probabilities assigned to each scenario and the epistemological implications of living in a simulated reality versus a base reality.