CSCI 250 Spring 2013
Discrete Structures
Archived Class
Charles Cusack
Computer Science
Hope College
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Homework 4

Comments

  • Problems are taken from the textbook unless otherwise noted.
  • For full credit, provide context for each problem, show all calculations, and justify all answers by providing enough comments to explain your reasoning.
  • You will lose a significant amount of credit if you do not provide context, calculations, and justifications for a problem.
  • Numbers and/or algebra by themselves are not enough. A correct answer with no justification will be worth no more than half credit, and sometimes much less than that.
  • Precision is very important. You cannot skip steps, make guesses, or use flawed logic. Any of these things can lead to incorrect answers.
  • Homework assignments must be very neatly written or typeset (e.g. using Word or OpenOffice).
  • You must indicate any assistance/collaboration you had on an assignment as specified on the Policies page.

Details

SectionProblemNotes
1.616bcClearly state whether or not the argument is correct and give the specific rule(s) of inference or fallacy used.
20Explain why or why not, specifying rules of inference/fallacies.
1.72Be very precise, using the definition of even. You cannot not say, for instance, that 10x+14y-6z+12 is even. You must use algebra to make it look like 2k for some integer k. Similarly for future problems dealing with with either odd or even numbers. Also, a common mistake on this kind of proof is to write it in such a way that you are essentially assuming the two numbers are the same number without realizing it.
18Take the assumption that n is an integer as a given, and read the problem as "If 3n+2 is even, then n is even."
24