In: Advanced Math
Consider the following catastrophic reasoning:
If I don't get an A on this test, I will fail the class. If I fail the class, I will never get a real job.
I'll either study and get an A on the test, or I'll go to work and not study.
So If I go to work, I'll never get a real job.
A) Translate this argument into the language of propositional logic. (Provide a key. E.g. C = The cat is on the mat)
B) Draw a truth table for the argument.
C) Using the truth tables determine whether the argument is valid. (This should only take one or two sentences)