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Which of the following best captures a core activity of logic?

Memorizing lists of logical fallacies.

Analyzing arguments using formal methods to assess validity, entailment, and deduction.

In logic, the key activity is analyzing arguments using formal methods to determine whether the conclusion follows from the premises. This means checking validity, entailment, and carrying out deduction within a formal system.

That focus is exactly what the best option captures: applying rules of inference and constructing proofs to show that a conclusion necessarily follows from the premises. It centers on how arguments are structured and evaluated, not on memorizing fallacies, studying aesthetics, or designing empirical experiments. For example, a valid argument is one where, if the premises are true, the conclusion cannot be false; entailment is about whether the conclusion is a logical consequence of the premises; deduction is the process of deriving the conclusion using the logic’s rules.

Studying aesthetics of arguments.

Designing empirical experiments to test hypotheses.

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