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Question 916918: (I know this is the wrong category, but did not find a logic-related one). I did these, but am not sure the REASONS are correct. Would you please look them over for me, and find any errors?
Thank you
For each of these arguments determine whether the argument is correct or incorrect and explain why.
a) All students in this class understand logic. Xavier is a student in this class. Therefore, Xavier understands logic.
Correct. Let D(x) denote “x is in this discrete mathematics class,” and let C(x) denote “x understands logic.” ∀x(D(x) → C(x)) and D(Xavier). The conclusion is C(Xavier).
b) Every computer science major takes discrete mathematics. Natasha is taking discrete mathematics. Therefore, Natasha is a computer science major.
Incorrect.. Fallacy of denying the hypotheses.
c) All parrots like fruit.My pet bird is not a parrot. Therefore,my pet bird does not like fruit.
Incorrect. Existential instantiation.
d) Everyone who eats granola every day is healthy. Linda is not healthy. Therefore, Linda does not eat granola every day.
Incorrect. Universal generalization.
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! a) Correct: universal instantiation and modus ponens
b) Invalid: fallacy of affirming the conclusion
c) Invalid: fallacy of denying the hypothesis
d) Correct: universal instantiation and modus tollens
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