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Dirk Schlimm
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?