CSSE 490: Logic: Week 1

DayTopicsReadings/Assignments
Day 3
  • First-order language of set theory. Presentation by Andy Spencer
  • First-order language of arithmetic. Presentation by Josh Burbrink
  • Arguments, premises and conclusions
  • Logical consequence, or logically valid arguments
  • Non valid arguments
  • Sound arguments
  • The role of logic
  • Proofs
  • Demand for rigor
  • Formal vs informal vs rigorous proofs
  • Nonconsequence proofs, counterexamples
  • Fitch style proofs
Read chapter 3
Complete assignments 2.3, 2.4, and 2.7 by Tuesday, BC. Eiher submit them to the appropriate drop box on Angel or submit a paper copy.
Day 4 Read chapter 4
Complete assignments 3.24 and 3.25 by Thursday, BC. Eiher submit them to the appropriate drop box on Angel or submit a paper copy.
Day 5 Read chapter 5 and sections 6.0, 6.1, 6.2
Complete assignments 4.41, 4,42 and 4.43 by Friday, BC. Eiher submit them to the appropriate drop box on Angel or submit a paper copy.
Day 6
  • Proof by cases
  • Proof by contradiction
  • Arguments from inconsistent premis
  • Rules of inference for formal proofs:
    • Conjunction introduction
    • Conjunction elimination
    • Disjunction introduction
    • Disjunction elimination
Read the remainder of chaper 6 and chapter 7.