Select an argument from
below to solve and discuss. Translate the selected argument into symbolic form,
using the letters in the order in which they are listed. Then use indirect
proof and the eighteen rules of inference to derive the conclusion. Having done
so, attempt to derive the conclusion without using indirect proof. Share your
translation and conclusions with the class.
As this discussion progresses, compare and contrast your classmates’ proofs
with your own. Include any comments or questions you have on this discussion
that will extend the conversation.
1. If either the sea turtle population continues to decrease or rescue efforts
are commenced to save the sea turtle from extinction, then nesting sanctuaries
will be created and the indiscriminate slaughter of these animals will be
halted. If either nesting sanctuaries are created or poachers are arrested,
then if the indiscriminate slaughter of these animals is halted, then the sea
turtle population will not continue to decrease. Therefore, the sea turtle
population will not continue to decrease. (C, R, N, I, P)
2. Either deposits should be required on beer and soft drink containers, or
these containers will be discarded along highways and the countryside will look
like a dump. If these containers will be discarded either in parks or along
highways, then deposits should be required on soft drink containers. Therefore,
deposits should be required on soft drink containers. (B, S, H, C, P)
3. If asbestos workers sue their employers, then if punitive damages are
awarded, then their employers will declare bankruptcy. If asbestos workers sue
their employers, then punitive damages will be awarded. If asbestos workers
contract asbestosis, then either they will sue their employers or their
employers will declare bankruptcy. Therefore, either asbestos workers will not
contract asbestosis or their employers will declare bankruptcy. (S, P, B, C)
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