Cognitive Science | Math & Logic for Cognitive Science
Q250 | 1056 | Eberle

Lecture:  MW 2:30-3:45pm, WY 125
Lab section 1057: F, 9:05-9:55am, LI 503

One source of scientific theory comes from the analysis of empirical
data. Often, however, it is not possible for the subject of study to
be investigated directly and empirically, and, even when it is
possible, it turns out that a very useful way to gain insights into
scientific phenomena is to build models of them.  Mathematics
provides methods for the analysis of data.  It also provides tools
for building models of objects, states and processes studied in the
different specific areas of science.

The purpose of this course is to introduce students to some of the
main mathematical and logical tools used in building models in
cognitive science.  The emphasis will be on the intuitive ideas
behind the mathematics, i.e. the main goal will be to have the
students learn the ideas first at an intuitive level and then to go
towards a deeper acquaintance with the ideas.  The course will
introduce the main concepts, notions and results from first-order
logic, machines, set theory, and linear algebra for parallel
distributed processing (neural networks).  The lab hours will be
devoted primarily to the use of computational tools.  The material
for the course is self-contained and no prerequisites beyond a sound
high school mathematics background are needed.