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Join a thought-provoking one-hour Topos Institute Colloquium talk exploring the fundamental tension between certainty and artificial intelligence in engineering systems. Examine how mathematical and probabilistic models can provide certainty in engineering designs, particularly valued in safety-critical systems and regulatory compliance. Delve into the challenging paradox where complex environments demand AI technologies that inherently resist absolute certainty, suggesting a potentially irreconcilable conflict between achieving both certainty and true intelligence in system design.