8 (Prob 29, 32 on Page 62) For the following two arguments, first
use symbols to write the logical form of the argument, and decide
whether it’s valid (which rule of inference is used), or invalid
(converse error or inverse error).
(a) If at least one of these two numbers is divisible by 6, then
the product of these two numbers is divisible by 6. Neither of
these two numbers is divisible by 6. ∴ The product of these two
numbers is not divisible by 6.
(b) If I get a Christmas bonus, I will buy a stereo. If I sell my
motorcycle, I will buy a stereo. ∴ If I get a Christmas bonus or I
sell my motorcycle, then I will buy a stereo.
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