Study examples

# Study examples - ∀ x (Dodec(x) → Medium(x)) ∀ x...

This preview shows pages 1–2. Sign up to view the full content.

Which of the following formulae are sentences? What kinds of sentences are they? 1. x Cube(x) y Tet(y) 2. y (Tet(y) Dodec(y)) 3. x (Dodec(x) Large(x)) 4. x Smaller(b, x) 5. Medium(z) 6. x Tet(x) Small(x) 7. x (Cube(x) z ¬ Dodec(z)) 8. ¬ x Smaller(b, x) 9. y Medium(y) z Tet(z) 10. x y Likes(x, y) What would be proper translations for the following sentences? 1. x (Tet(x) Small(x)) 2. ¬ x (Tet(x) Small(x)) 3. x ¬ (Tet(x) Small(x)) 4. x (Tet(x) ¬ Small(x)) 5. x (Large(x) Cube(x)) 6. ¬ x (Large(x) Cube(x)) 7. x ¬ (Large(x) Cube(x)) 8. x ( ¬ Large(x) Cube(x)) 9. x y Likes(x, y) 10. y x Likes(x, y) What would be a counterexample for the following invalid argument?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ∀ x (Dodec(x) → Medium(x)) ∀ x (Medium(x) → LeftOf(x, a)) So, ∃ x (Dodec(x) ∧ LeftOf(x, a)) Consider the following premises (from Lewis Carroll). What conclusion(s) can be drawn from them? (1) Babies are illogical. (2) Nobody is despised who can manage a crocodile. (3) Illogical persons are despised. Predicate symbols needed: Baby(x), [ “x is a baby.” ] Logical(x) [ “x is logical.” ] CanManageCrocodile(x) [ “x can manage a crocodile.” ] Despised(x) [ “x is despised.” ] Translations: (1) (2) (3) Proof for ∀ x (Baby(x) → ¬ CanManageCrocodile(x)) or, “No baby can manage a crocodile.”...
View Full Document

## This note was uploaded on 06/07/2011 for the course PHIL 110 taught by Professor ? during the Fall '06 term at South Carolina.

### Page1 / 2

Study examples - ∀ x (Dodec(x) → Medium(x)) ∀ x...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online