3 answers

(a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid

Question:

(a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
If Nicholas Thompson teaches this course, then I will get a passing grade.
I did not get a passing grade.
∴ Nicholas Thompson did not teach the course.

Answers

Assume that p = Nicholas Thompson teaches this course. Assume q = I will get a passing grade.?
The symbolic form is ~q->~p

The truth table is:

p. ? ? ? ~p ? ? ? ?q. ? ? ? ~q. ? ? ? ~q->~p

T.

? ? ? ?F ? ? ? ?T. ? ? ? ?F. ? ? ? ? ? ? ? T
T. ? ? ? ?F ? ? ? ?F. ? ? ? ?T.

? ? ? ? ? ? ? F
F. ? ? ? ?T ? ? ? ?T. ? ? ? ?F. ? ? ? ? ? ? ? T
F. ? ? ? ?T ? ? ? ?F.

? ? ? ?T. ? ? ? ? ? ? ? T

So the conclusion is valid..

F.

F t t f f.

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