Cognitive Science | Math & Logic for Cognitive Science
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.