Non-Classical Logics

Spring, 2009
Curtis Brown

Schedule

This schedule will be filled in as the semester progresses.
 

Date Topic Assignment
Wed, Jan 14 Introduction to the Class  
Fri, Jan 16 Review of classical propositional logic reading: Priest, chapter 1
Mon, Jan 19

NO CLASS

Martin Luther King Day
Wed, Jan 21 Conclude discussion of classical propositional logic;
introduction to modal logic
homework: pp. 18-19: 1a-g; think about how you would answer 2
 
Fri, Jan 23 Basic modal logic reading: Priest, chapter 2
Mon, Jan 26 Basic modal logic, continued no new assignment
Wed, Jan 28 Basic modal logic, continued reading: Mathematical Prolegomenon
Fri, Jan 30 normal modal logics, introduced exercises: 2.g-i, r-t
Mon, Feb 2 normal modal logics, continued reading: Priest, 3.1-3.4
exercises: Priest, p. 55: 1, 2r-t
Wed, Feb 4 temporal logic reading: Priest, rest of chapter 3
Fri, Feb 6 non-normal modal logics; strict implication reading: Priest, chapter 4
Mon, Feb 9 begin discussing conditional logics homework: do the missing proofs in 4.5.4, 4.6.2, and 4.6.3
Wed, Feb 11 conditional logics, continued reading: chapter 5 (through 5.5)
Fri, Feb 13   class cancelled due to mass illness
Monday, Feb 16 conditional logics, continued reading: rest of chapter 5
homework: provide the proofs needed for sections 5.2.1, 5.4.3, and 5.5.4. Also do p. 101, 2a-b and 3a-b. (Re: 2a, note that we are assuming that the logic of the necessity and possibility operators is K-upsilon, that is, that every world is accessible from every world.)
Wednesday, Feb 18 begin intuitionistic logic  
Friday, Feb 20 continue intuitionistic logic reading: chapter 6
no hw assignment
Monday, Feb 23 conclude intuitionistic logic; transition to many-valued logics no new reading
homework: chapter 6, 3a-c and 4a-c
Wednesday, Feb 25 many-valued logics read: Priest, chapter 7
Friday, Feb 27 many-valued logics, continued: philosophical motivations  
Monday, March 2 supervaluations; review for midterm  
Wednesday, March 4 midterm exam  
Friday, March 6

go over exam; discuss project ideas

 
March 7-15 spring break  
Mon, March 16 First-Degree Entailment 1  
Wed, March 18 First-Degree Entailment 2 read: Priest, chapter 8
homework: problem 8.10.1.a-f, pp. 161-162
recommended: rest of problem 1, problem 2, a few from problem 6
Fri, March 20 relevant logics 1: basic relevant logic read: Priest, chapter 9
Mon, March 23 relevant logics 2: basic r.l., continued homework: problem 9.11.1, p. 185 (details for 9.4.1 and 9.4.2 only)
Wed, Mar 25 relevant logics 3: mainstream relevant logics read: Priest, chapter 10
Fri, Mar 27 fuzzy logic read: Priest, chapter 11
Mon, Mar 30 lecture: Classical first-order logic homework: try Priest chapter 11 problems 3 a-c and 4 a-c.
(We haven't done axiomatic proofs before -- they're hard compared with tableaux proofs or natural deduction proofs!)
Wed, April 1 Deontic Logic 1  
Fri, April 3

Deontic Logic 2

 
Mon, April 6    
Wed, April 8    
Fri, April 10 Good Friday - no class  
Mon, April 13    
Wed, April 15 project presentations  
Fri, April 17 project presentations  
Mon, April 20    
Wed, April 22   final project due
Fri, April 24    
Mon, April 27    
Wed, April 29    
Fri, May 1 review for final  
Friday, May 8

FINAL EXAM, 2:00 PM

 


Last update: March 20, 2009
Curtis Brown  |  Philosophy of Language  |  Philosophy Department  |  Trinity University
cbrown@trinity.edu