A correct deductive pattern guarantees the truth of the conclusion whenever the premises are true. The form βIf it rains, the ground gets wet; it is raining; therefore the ground will get wetβ is a classic example of modus ponens. Here the condition and its antecedent are both asserted, making the consequent logically necessary. There is no gap between the premises and the conclusion in such a structure.
Option A:
Option A has the structure βIf P then Q; P; therefore Q,β which is modus ponens, a standard valid deductive form where the conclusion necessarily follows if the premises are true.
Option B:
Option B, βThe ground is wet, so it must have rained,β affirms the consequent and concludes the antecedent. This is the fallacy of affirming the consequent, because wet ground can have other causes.
Option C:
Option C makes a prediction based on temporal repetition, which is inductive rather than deductive.
Option D:
Option D treats a cloudy sky as a sufficient condition for rain, which is not logically guaranteed and again represents an inductive guess, not a valid deduction.
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