Explain what it is for a pattern of reasoning to be sound.

(a) Explain what it is for a pattern of reasoning to be sound.

(b) Consider the following argument forms:

In each of these cases, decide whether the pattern of reasoning is sound. [Hint: Represent each predicate by a set drawn on a Venn diagram constructed to reveal the argument form. Attempt to produce a Venn diagram where all the premises are true yet the conclusion is false. If this can be done, the argument form is unsound. Why? See Figure 17.19.]

For unsound patterns of reasoning, suggest an English example where the premises are true and the conclusion false.

[Example for (1)

No women are men TRUE

Some men are doctors TRUE

No women are doctors FALSE]

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Explain what it is for a pattern of reasoning to be sound.

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