Back to Sentences with one quantifier

Exercise D

Avg difficulty 3.0

For each argument, write a symbolization key and symbolize the argument in FOL.

  1. Willard is a logician. All logicians wear funny hats. So Willard wears a funny hat

  2. Nothing on my desk escapes my attention. There is a computer on my desk. As such, there is a computer that does not escape my attention.

  3. All my dreams are black and white. Old TV shows are in black and white. Therefore, some of my dreams are old TV shows.

  4. Neither Holmes nor Watson has been to Australia. A person could see a kangaroo only if they had been to Australia or to a zoo. Although Watson has not seen a kangaroo, Holmes has. Therefore, Holmes has been to a zoo.

  5. No one expects the Spanish Inquisition. No one knows the troubles I’ve seen. Therefore, anyone who expects the Spanish Inquisition knows the troubles I’ve seen.

  6. All babies are illogical. Nobody who is illogical can manage a crocodile. Berthold is a baby. Therefore, Berthold is unable to manage a crocodile.

Magnus et al., forall x: Calgary, First-order logic, Sentences with one quantifier, Exercise D

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Adapted from forall x: Calgary © 2025 P. D. Magnus, Tim Button, Robert Trueman, and Richard Zach. Licensed under CC BY 4.0. Source: forall x: Calgary. Imported at revision ec34df8.