Question: 1. Oranges are sweet. Also, oranges are fragrant. Therefore, oranges are sweet and fragrant. (O, S, F) 2. Tomatoes are vegetables. Therefore, the tomatoes in
1. Oranges are sweet. Also, oranges are fragrant. Therefore, oranges are sweet and fragrant. (O, S, F)
2. Tomatoes are vegetables. Therefore, the tomatoes in the garden are vegetables. (T, V, G)
3. Apples and pears grow on trees. Therefore, apples grow on trees. (A, P, G)
4. Carrots are vegetables and peaches are fruit. Furthermore, there are carrots and peaches in the garden. Therefore, there are vegetables and fruit in the garden. (C, V, P, F, G)
5. Beans and peas are legumes. There are no legumes in the garden. Therefore, there are no beans in the garden. (B, P, L, G)
Translate the following arguments into symbolic form. Then use the eighteen rules of inference to derive the conclusion of each. Do not use conditional or indirect proof.
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