Q250 | 7900 | J. Trueblood

Cognitive Science , Math & Logic for Cognitiv Science Q250 , 7900 , P. Williams Cognitive Science , Math & Logic for Cognitive Science Q250 , 7900 , P. Williams ________________________________________ Lecture: Time: 9:30AM – 10:45AM Mo We; Lab (7901): 9:05A-9:55A, F; Room BH 108 Cognitive science aims to provide rigorous explanations of the processes that underlie intelligent behavior. To this end, cognitive scientists employ a wide variety of tools and concepts from logic and various branches of mathematics. In this course, we explore a range of topics in math and logic that are particularly important for cognitive science: propositional and predicate logic, automata theory, and probability theory. For each topic, our goal is twofold: first, to understand the basic mathematical and conceptual underpinnings; second, to understand the relevance for cognitive science. To address the latter, we consider each mathematical topic as it fits within a certain area of cognitive science. Thus, we consider logic and automata theory as they relate to computational models of the mind, and probability theory in the context of Bayesian modeling. Ideally, then, students will come away from this course with two things: (1) a skill set of basic mathematical tools and (2) appreciation and enthusiasm for how these tools can be used to model and understand the mind. The material for the course is self-contained and no prerequisites beyond a sound high school mathematics background are needed.