Phil 450: Intermediate Symbolic Logic

This course will be taught from Boolos, Burgess, and Jeffrey, Computability and Logic

The readings and topics we will cover are (in order) the following:

Chapter 1 - enumerability

Chapter 2 - uncountability

Chapter 9 - syntax of first-order logic

Chapter 10 - semantics of first-order logic

Handout on deduction

Chapter 6 - primitive recursive functions

Chapter 7 - recursive functions and relations

Chapter 15 - computability and logic

Chapter 16 - representation of recursive functions in logic

Chapter 17 - the first incompleteness theorem

For Monday, August 29: Exercise 1.3

For Wednesday, September 7: Exercises 2.8 and 2.9

For Monday, September 19: Exercise 9.5

For Monday, September 26: Exercise 10.6

For Monday, October 3: The Negation Theorem, 3.2.4 in the updated handout (p. 15)

For Monday, October 10: nothing

For Monday, October 17: Exercise 6.5 (not graded - just for evaluation)

For Monday, October 24: Exercises 7.5 and 7.6

For Monday, October 31: Exercise 15.5

For Monday, November 7: nothing

For Monday, November 14: Exercise 16.17

For Monday, November 21: Exercise 16.16

For Monday, November 28: nothing