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Explain the following statements:

S1: All crabs are crustaceans.

S2: All hermit crabs are crabs.

S3: Therefore, all hermit crabs are crustaceans.

Answer :

Final answer:

The statements about crabs and hermit crabs being crustaceans are logically and biologically consistent, based on the classification of these organisms: crabs are a type of crustacean, hermit crabs are a type of crab, and therefore hermit crabs are also crustaceans.

Explanation:

The statements S1: All crabs are crustaceans, S2: All hermit crabs are crabs, and S3: Therefore, all hermit crabs are crustaceans, form a logical and biological consistency within the classification of these organisms. Let’s break it down.

S1: All crabs are crustaceans: This statement is a categorization based on the biological classification of species. Crustaceans are a large group of arthropods, including such familiar animals as crabs, lobsters, and shrimp. Crabs are specifically categorized under this group due to the characteristics they share with other crustaceans - such as having a brain formed by the fusion of the first three segmental ganglia, two compound eyes, a hard exoskeleton, and typically two pairs of antennae.

S2: All hermit crabs are crabs: Hermit crabs are a type of crab and therefore fall under the broad classification of 'crab'. Just like other crabs, hermit crabs possess fundamental crab features and are therefore classified within the crab species.

S3: Therefore, all hermit crabs are crustaceans: Following from statements 1 and 2, this statement concludes logically that all hermit crabs are crustaceans, being a subset of crabs which in turn are part of the crustacean group.

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