Back to Sentences with one quantifier

Exercise A

Avg difficulty 3.0

Here are the syllogistic figures identified by Aristotle and his successors, along with their medieval names:

  1. Barbara. All G are F. All H are G. So: All H are F

  2. Celarent. No G are F. All H are G. So: No H are F

  3. Ferio. No G are F. Some H is G. So: Some H is not F

  4. Darii. All G are H. Some H is G. So: Some H is F.

  5. Camestres. All F are G. No H are G. So: No H are F.

  6. Cesare. No F are G. All H are G. So: No H are F.

  7. Baroko. All F are G. Some H is not G. So: Some H is not F.

  8. Festino. No F are G. Some H are G. So: Some H is not F.

  9. Datisi. All G are F. Some G is H. So: Some H is F.

  10. Disamis. Some G is F. All G are H. So: Some H is F.

  11. Ferison. No G are F. Some G is H. So: Some H is not F.

  12. Bokardo. Some G is not F. All G are H. So: Some H is not F.

  13. Camenes. All F are G. No G are H So: No H is F.

  14. Dimaris. Some F is G. All G are H. So: Some H is F.

  15. Fresison. No F are G. Some G is H. So: Some H is not F.

Symbolize each argument in FOL.

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

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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.