Spring 2022

Mathematical Logic

Listed in: Mathematics and Statistics, as MATH-385

Formerly listed as: MATH-34

Faculty

Michael C. Ching (Section 01)

Description

Mathematicians confirm their answers to mathematical questions by writing proofs. But what, exactly, is a proof? This course begins with a precise definition specifying what counts as a mathematical proof. This definition makes it possible to carry out a mathematical study of what can be accomplished by means of deductive reasoning and, perhaps more interestingly, what cannot be accomplished. Topics will include the propositional and predicate calculi, completeness, compactness, and decidability. At the end of the course we will study Gödel’s famous Incompleteness Theorem, which shows that there are statements about the positive integers that are true but impossible to prove. Four class hours per week. Offered in alternate years.

Requisite: MATH 220, 271, 272, or 355, or consent of the instructor. Spring semester. Professor Ching.

Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, In-class quizzes or exams, Take-home exams, In-class group work. Students with documented disabilities who will require accommodations in this course should be in consultation with Accessibility Services and reach out to the faculty member as soon as possible to ensure that accommodations can be made in a timely manner.

Offerings

2024-25: Not offered
Other years: Offered in Fall 2008, Fall 2010, Spring 2015, Spring 2018, Fall 2019, Spring 2022, Spring 2024