Link to the Final Exam |
Truth Tables |
A student wrote to ask about truth tables. I'm not by and large going to
comment on what's correct or incorrect, but because I realize the notes
weren't entirely clear on this particular point, I want to go ahead and
clarify now.
You need to make sure your options cover each combination of possibilities
for p, q, and r. So in the (relevant bits of the) truth table the student
sent:
p q r
T T F
T F T
F T F
F F T
T T F
T F T
F T F
F F T
...the given student was right to worry that the lower half is the same as
the upper half. The 1st and 5th rows both cover the case where p is true,
q is true, and r is false; you need to be sure that there's a row covering
the case where p is true, q is true, and r is true.
If that wasn't clear, you can always take a look at the answer key to
Homework 6, where there are a few tables illustrating the eight options
for the truth/falsity of p, q, and r; you can model answers on those, if
you need to.
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Question 3.2 |
It's just been pointed out to me that question 3.2 isn't entirely clear. It asks for a true-or-false judgment on whether something is (a) one-to-one and (b) onto. That could mean either "true or false: it's both one-to-one and onto"; or "(a) true or false: it's one-to-one. (b) true or false: it's onto."
I intended the second. Answer 3.2a and 3.2b separately (for 2.5 points each).
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