Consider the following argument. 1) Anything that weighs the same as a duck is m

Question

Consider the following argument.

1) Anything that weighs the same as a duck is made of wood.
2) If a woman is made of wood, then she is a witch.
3) If a woman is a witch, then we should burn her.
4) This woman weighs the same as a duck.

Therefore, we should burn her.

Determine whether or not the argument is valid or not valid and then prove that you are correct.

Explanation / Answer

1. WeightOfDuck(x) -> Wood(x) 2. Wood(woman) -> Witch(woman) 3. Witch(woman) -> Burn(woman) We'll name our woman Jill 4. Woman(Jill) & WeightOfDuck(Jill) 5. WeightofDuck(Jill) -> Wood(Jill) Rules 1, Given 4 6. Wood(Jill) & Woman(Jill) -> Witch(Jill) Conclusion from 5, Rules 2 and Given 4 7. Witch(Jill) -> Burn(Jill) Conclusion from 6, Rule 3. Line 7 conclues that we should burn Jill.

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