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Is the following argument valid or not? I recommend an abbreviated table. -P(a) ^ (-Q(b) v Q(c)), -Q(c)A P(d), (So)-P(a) A-Q(b) Commas separate premises

 

Is the following argument valid or not? I recommend an abbreviated table. -P(a) ^ (-Q(b) v Q(c)), -Q(c)A P(d), (So)-P(a) A-Q(b) Commas separate premises and the conclusion is the sentence on the far right. O It is valid. O It is both valid and invalid. None of these. O It is invalid.

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