A. Actuarial Mathematics; B. Algebra; C. Analysis; D. Foundations of Mathematics; E. Geometry; F. Probability and Statistics; G. Applied Mathematics; H. Special Topics. Prerequisite: permission of instructor. May be repeated for credit with different topics.
|Permission of instructor||1/2-1 course|
Fall Semester informationNachimuthu Manickam
490HA: Tps:Operations Research
Spring Semester informationZhixin Wu
490AA: Tps:Applied Statistics and Optimization
490AB: Tps:Applied Statistical Method
490DA: Tps:Foundations of Math:The Limits of Proof
The 20th Century bore witness to a host of dramatic intellectual developments: Einstein's Special and General Theories of Relativity, Watson & Crick's Double Helix, and the First and Second Theorems of Welfare Economics. Standing alongside these monuments are Kurt Godel's (1931) First and Second Incompleteness Theorems, which formally establish the limits of purely deductive reasoning.
In addition to having tremendous philosophical, mathematical, scientific, and humanistic interest, Godel's breakthrough represents the culmination of some two millennia's sustained effort from across the intellectual spectrum. In this course, we will explore both the historical aspects and deep philosophical aspects of Godel's unparalleled results. This is an exceedingly rare opportunity for undergraduates to learn material centered at the intersection of philosophy, mathematics, science, intellectual history, and human nature. Logic 251 is recommended, but not required. Please email me: firstname.lastname@example.org.