Cognitive Science | Math & Logic for Cognitive Science
Q250 | 22162 | R. Eberle

Cognitive Science ,  Math & Logic for Cognitive Science
Q250 ,  22162 ,  R. Eberle

Time:  1:00PM - 2:15PM  TuTh;  Room WH114

Lab: 9:05A-9:55A, F;  Room BH 308


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 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, including Matlab.  The

material for the course is self-contained an no prerequisites beyond

a sound high school mathematics background are needed.