Explore the fundamental concepts of computational interaction through this seminar lecture delivered at Johns Hopkins University's Center for Language & Speech Processing. Examine key conjectures, established results, and common misconceptions surrounding interactive computation models. Delve into theoretical computer science perspectives on how computational systems engage with their environments beyond traditional input-output paradigms. Analyze the mathematical foundations and practical implications of interactive computing systems. Investigate how interaction challenges classical notions of computation and algorithmic thinking. Consider the broader impact of interactive models on computer science theory and practice through rigorous academic discussion and analysis.