a) List the proofs you've seen in class so far and classify them as direct, negation introduction, or reductio ad absurdum (RAA).
b) Discuss proofs by contradiction addressing the following questions:
The following questions refer to Handout #3, Proofs (Glymour).
a) Describe the Socratic method.
b) Answer study question 1, on page 15.
c) Answer study question 2, on page 15.
a) Find a definition in any textbook you like, copy it and determine
its primitive terms.
b) Discuss in a few sentences whether you think your example is a good definition or not.
Try to solve the following problem: Write numbers, using each of the ten digits (0,1,2,3,4,5,6,7,8,9) exactly once, so that the sum of the numbers is exactly 100.
An example for a possible solution would be: 19+28+30+7+6+5+4. Here all ten digits are used exactly once, but unfortunately the sum is only 99, instead of 100. Thus, this isn't a solution to the problem!
Write a paragraph describing your experiences in solving this
problem addressing the following issues:
- Did you employ inductive or deductive reasoning?
- Did you find a solution, how?
- If you did not find a solution, what is your conclusion about this problem?