FRSEMR 26s - Mathematical Structures and Godel's Completeness Theorem

Institution:

Harvard University

Subject:

Description:

Mathematics is about structures. Some examples of structures are: the integers, the real numbers, and Euclidian plane geometry. Model theory, a branch of mathematical logic, provides a useful definition of structure. Godel's completeness theorem shows how logically consistent definitions imply the existence of arbitrary mathematical structures. Model theory is applicable to problems that arise in algebra. An example is: the elementary theory of the real numbers is decidable.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.harvard.edu

Phone Number:

(617) 495-1000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Semester

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