Middlebury

MATH 0308

Mathematical Logic

Mathematical Logic
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. 3 hrs. lect. DED (D. Velleman)
Subject:
Mathematics
Department:
Mathematics
Division:
Natural Sciences
Requirements Fulfilled:
DED
Equivalent Courses:

Sections in Spring 2014, SA UGs Full Term

Spring 2014

MATH0308A-S14 Lecture (Velleman)