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Explain why the argument “All birds can fly; penguins are birds; therefore penguins can fly” is valid but unsound.

Answer

The conclusion follows from the premises' structure: if all birds can fly and penguins are birds, penguins must be able to fly. That makes the argument valid. However, the premise that all birds can fly is false because penguins cannot fly. Since a sound argument must be valid and have true premises, this argument is unsound. Its unsoundness does not mean that every unsound argument has a false conclusion; it means at least one condition for soundness fails.

Explanation

### What a good answer covers - Explain that the conclusion follows if both premises are assumed true, which establishes validity. - Identify “All birds can fly” as false, so the argument is not sound. - Distinguish a false premise from an invalid logical structure. - Clarify that unsoundness does not automatically make a conclusion false. ### The concept A deductive argument is **valid** when its form guarantees the conclusion under the assumption that its premises are true. It is **sound** only when it is valid and all premises are actually true. The bird example preserves the logical pattern: if every member of a category can fly and penguins belong to that category, then penguins can fly. The problem is that the broad premise is factually false. This example shows why you should assess structure separately from factual accuracy. ### Terms - **Premise**: A statement used to support the conclusion. - **Validity**: A logical guarantee from premises to conclusion. - **Soundness**: Validity plus true premises. - **Unsound**: Failing at least one requirement for soundness. ### Remember A valid form can carry a false premise, so validity alone does not prove an argument sound.

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