question archive Using the key provided, translate the following abstract argument into English: [UD: everything, Dx ? x is dangerous, xRy ? x rides/travels in y, Hx ? x wears a helmet, Ix ? x risks injury, Sx ? x may suffer a serious head injury, Mx ? x is a motorcycle] ∀x∀y((Dy & xRy) → Ix), ∀x((¬Hx & Ix) → Sx), ∀x(Mx → Dx) ∴ ∀x∀y[(¬Hx & (My & xRy)) → Sx]
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Using the key provided, translate the following abstract argument into English:
[UD: everything, Dx ? x is dangerous, xRy ? x rides/travels in y, Hx ? x wears a helmet, Ix ? x risks injury, Sx ? x may suffer a serious head injury, Mx ? x is a motorcycle]
∀x∀y((Dy & xRy) → Ix), ∀x((¬Hx & Ix) → Sx), ∀x(Mx → Dx) ∴ ∀x∀y[(¬Hx & (My & xRy)) → Sx]
Answer:
1. Any person driving any dangerous vehicle, risks injury.
2. If anyone is not wearing Helmet and risks injury then that may suffer a serious head injury.
3. All Motorcycles are Dangerous.
Therefore,
4. If someone is not wearing helmet and riding a Motorcycle, then this may suffer head injury.