Day 26 in Mat115H

Today:

• Announcements:
  • Due today: one-page, typed, revised update on your project: Take II

  • Assignment for next time (Tuesday, 12/1):
    • Write up (and resolve) the following syllogisms of Lewis Carroll:
      1. Easy:
         1. All Dragons are uncanny;
         2. All Scotchmen are canny.
      2. Harder!
         1. All my sons are slim.
         2. No child of mine is healthy who takes no exercise.
         3. All gluttons, who are children of mine, are fat.
         4. No daughter of mine takes any exercise.
    • Write up (and resolve) a syllogism of your own requiring three different blocks (trilateral diagram) in the Logic Game

• Finding the Day of the Week (slight reprise -- p. 167)
  • On what day of the week was Charles Dodgson born?
  • Today's date...
• Fit the Eighth
  • symbolic logic "as an entertainment for children to develop their powers of logical thought."
  • Elements of The Logic Game
    • An example:
      1. Babies are crazy;
      2. Crazy people should be in an asylum.
    • Fundamentals
      • What's a syllogism? Give some examples. (p. 174)
      • What's a proposition? (p. 175)
      • What is negation?
      • The method: eliminating the common term (p. 173)
      • Three types of propositions (p. 175)
      • The board
        • Bilateral
        • Trilateral
      • The universe
    • Example: p. 186
    • Example: top of p. 174
      • Using Venn Diagrams (and their problems), and comparing
      • Carroll's method
    • Other Diagrams to help us solve these problems