Description

This is a study guide to help you prepare for the exam. While it aims to be comprehensive, it is not guaranteed to cover every topic that may appear on the exam. It is important to review all of your notes and the course materials.

Questions

1. Which one of the following is a QL symbol? (question id 06_ql_symbols_4)
2. Identify whether the following wff is a QL-wff: Cm (question id 06_ql_wffs_157)
3. Identify whether the following wff is a QL-wff: (∀x)Fx (question id 06_ql_wffs_1041)
4. Identify whether the following wff is a QL-wff: (∀x)(Nx ∨ ¬Ux) (question id 06_ql_wffs_1143)
5. Identify whether the following wff is a QL-wff: (∀x)(∃x)Mxx (question id 06_ql_wffs_1195)
6. Are there any free variables in the following QL wff: Sa (question id 06_ql_variables_5)
7. Are there any free variables in the following QL wff: (∀y)Ey (question id 06_ql_variables_76)
8. Are there any free variables in the following QL wff: (∀z)(Dz ∧ Vz) (question id 06_ql_variables_103)
9. Are there any free variables in the following QL wff: (∀z)(∃x)Fz → Wx (question id 06_ql_variables_138)
10. Is the following wff open or closed: Zb (question id 06_ql_closed_34)
11. Is the following wff open or closed: (∀x)Fx ∧ Sx (question id 06_ql_closed_72)
12. Is the following wff open or closed: (∃z)(Fz ∧ Xz) (question id 06_ql_closed_108)
13. Is the following wff open or closed: (∀x)(∃y)Dxy (question id 06_ql_closed_109)
14. Here is a model: 𝒟 = Blue, Brown, Purple, ℐ(b) = Blue, ℐ(r) = Brown, ℐ(p) = Purple, ℐ(Nx) = Blue, Brown, ℐ(Ux) = Purple. Relative to this model, is Nb true or false? (question id 06_ql_valuations_22)
15. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Ox) = 1, 3, ℐ(Ex) = 2, ℐ(Bx) = ⌀, ℐ(Nx) = 1, 2, 3. Relative to this model, is (∀x)Ex true or false? (question id 06_ql_valuations_35)
16. Here is a model: 𝒟 = Blue, Brown, Purple, ℐ(b) = Blue, ℐ(r) = Brown, ℐ(p) = Purple, ℐ(Nx) = Blue, Brown, ℐ(Ux) = Purple. Relative to this model, is (∀x)¬Ux true or false? (question id 06_ql_valuations_79)
17. Here is a model: 𝒟 = Jon, Liz, Tek, ℐ(t) = Tek, ℐ(l) = Liz, ℐ(j) = Jon, ℐ(Hx) = Liz, Tek, ℐ(Rx) = Jon, ℐ(Px) = Jon, Liz, Tek. Relative to this model, is (∃x)¬Hx true or false? (question id 06_ql_valuations_56)
18. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Ox) = 1, 3, ℐ(Ex) = 2, ℐ(Bx) = ⌀, ℐ(Nx) = 1, 2, 3. Relative to this model, is (∀x)(Nx → Ex) true or false? (question id 06_ql_valuations_133)
19. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Ox) = 1, 3, ℐ(Ex) = 2, ℐ(Bx) = ⌀, ℐ(Nx) = 1, 2, 3. Relative to this model, is (∃x)(Ex ∧ ¬Ox) true or false? (question id 06_ql_valuations_99)
20. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Ox) = 1, 3, ℐ(Ex) = 2, ℐ(Bx) = ⌀, ℐ(Nx) = 1, 2, 3. Relative to this model, is (∀x)(Nx → ¬Ox) true or false? (question id 06_ql_valuations_130)
21. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Gxy) = ⟨3, 2⟩, ⟨3, 1⟩, ⟨2, 1⟩. Relative to this model, is Gca true or false? (question id 06_ql_valuations_188)
22. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Gxy) = ⟨3, 2⟩, ⟨3, 1⟩, ⟨2, 1⟩. Relative to this model, is (∃x)Gxb true or false? (question id 06_ql_valuations_192)
23. Here is a model: 𝒟 = 1, 2, 3, ℐ(a) = 1, ℐ(b) = 2, ℐ(c) = 3, ℐ(Gxy) = ⟨3, 2⟩, ⟨3, 1⟩, ⟨2, 1⟩. Relative to this model, is (∀x)Gxb true or false? (question id 06_ql_valuations_199)
24. Translate the following sentence into QL: Alice is mortal. (question id 06_ql_translation_1)
25. Translate the following sentence into QL: David is nicer than Chris. (question id 06_ql_translation_79)
26. Translate the following sentence into QL: All cats are mortal. (question id 06_ql_translation_89)
27. Translate the following sentence into QL: Some zebras are mortal. (question id 06_ql_translation_117)
28. Translate the following sentence into QL: No rabbits are friendly. (question id 06_ql_translation_126)
29. Translate the following sentence into QL: Some zebras are not mortal. (question id 06_ql_translation_157)
30. Translate the following sentence into QL: Everything is a human. (question id 06_ql_translation_161)
31. Translate the following sentence into QL: Nothing is a cat. (question id 06_ql_translation_168)
32. Identify the two ways of translating this quantificationally ambiguous sentence: Rs are P (question id 06_ql_ambiguity_17)
33. Identify the two ways of translating this quantificationally ambiguous sentence: Every student did not vote in the election (question id 06_ql_ambiguity_28)