Taught by

Language and mathematics represent two areas of human cognition characterized by significant complexity and abstraction. In this program we will study linguistics and mathematics, as well as the mental processes and structures associated with each of these areas of thought and knowledge. We will analyze language structure, including the study of phonology (speech sounds), syntax (sentence structure), and semantics (linguistic meaning). We will also study mathematics with the goal of illuminating the nature of mathematical thinking. Topics in math will include mathematical logic and proofs, number systems, and introductory concepts from set theory and abstract algebra.

Alongside our studies of linguistics and mathematics, we will engage in seminar reading and discussion relating to cognitive processes associated with language and mathematical thinking. We will explore such questions as: How does the human mind handle abstraction? What is the role of metaphor in language and math? Can particular aspects of language and math be identified as learned or innate? How do children learn language skills (such as speaking and reading) and mathematics (such as numerical and spacial reasoning)? How does mathematical thinking emerge across cultures?

The work for this program will include solving math problems, writing proofs, studying abstract principles of grammar, and reading and writing about cognition and mental structure.

Quarters

Spring Open

Location and Schedule

Campus Location

Olympia

Time Offered

Day