Day 25 in Mat115H

Today:

• Announcements:
  • Return of your "Knot" papers.

  • Assignment for next time:
    • Give me a one-page, typed, revised update on your project: Take II
    • Finish reading Fit the Eighth

• Fit the Seventh
  • There are more puzzles featured here:
    • A Tangled Tale
      • Let's revisit that first knot, "Knot the first": Excelsior

      • There are nine other knots:
        • Do you want to look at any of them? (We don't have to solve them).
        • Are there any that you recommend, particularly?
        • What do you think of his responses to his readers?
    • River-crossing problems
      • Three cannibals, three missionaries, and a canoe holding two people.
      • Alcuin of York, Charlemagne's mathematician (c. 800 C.E.) gave us two:
        • three men, and their sisters; no sister feels safe crossing with any man other than her brother.
        • A farmer, a fox, a goose, and a bag of beans.
    • Finding the Day of the Week (p. 167)
      • Let's try it!
        • On what day of the week were you born?
        • On what day of the week was Charles Dodgson born?
    • Arithmetical puzzles
      • 12345679
      • 1089
    • What do you think of his symmetrical poem?
• Fit the Eighth
  • symbolic logic "as an entertainment for children to develop their powers of logical thought".
  • What's a syllogism? Give some examples.
  • What's a sorites ("so-right-ease")?
  • Elements of logic....