## PHIL 151: Metalogic (PHIL 251)

In this course we will go through some of the seminal ideas, constructions, and results from modern logic, focusing especially on classical first-order ("predicate") logic. After introducing general ideas of induction and recursion, we will study a bit of elementary (axiomatic) set theory before then covering basic definability theory, viz. assessing the theoretical limits of what can and cannot be expressed in a first-order language. The centerpiece result of the class is the completeness - and closely related compactness - of first-order logic, a result with a number of momentous consequences, some useful, some philosophically puzzling. We will then study a connection with game theory, whereby a certain type of game characterizes precisely the expressive power of first-order logic. Further topics may include: the 0-1 law in finite model theory, second-order logic, and the algebraic approach to logic. Prerequisite: 150 or consent of instructor.

Terms: Win
| Units: 4
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Icard, T. (PI)
;
Bassett, R. (TA)
;
Kemmann, B. (TA)
...
more instructors for PHIL 151 »

Instructors:
Icard, T. (PI)
;
Bassett, R. (TA)
;
Kemmann, B. (TA)
;
Schechtman, K. (TA)
;
Tilton, S. (TA)

## PHIL 151D: Measurement Theory (PHIL 251D)

Graduate students enroll in 251D.

Terms: Spr
| Units: 4

Instructors:
Briggs, R. (PI)

Filter Results: