Fill in the Blank Exercises

Using MP, MT, HS, DS, CD, SM, CN, AD, CM, AS, and DN, see if you can draw inferences allowed by the rules, given these premises.   Look these over yourself and try to determine what can fill in the blanks.  For discussion, click on the mp3 recording for each one.

 

a.

1. (D v M) ⊃ T

2. ~T

3. ______ ______

 

 

 

b.

1. (P ≡ (U v I)) v (B ∙ N)

2. ~ (P ≡ (U v I))

3. _______ ______

 

 

 

c.

1. M ⊃ (P ∙ L)

2. (G ⊃ I) ⊃ M

3. ________ _____

 

 

 

d.

1. E ⊃ (Y ⊃ U)

2. (E ⊃ (Y ⊃ U)) ⊃ (C v (G ∙ M)

3. _________ ______

 

 

 

 

e.

1. (B v Y)

2. (V ⊃ O)

3. ________ _____

 

 

 

 

f.

1. P ∙ (I ⊃ L)

2. T ⊃ C

3. _______ ______

 

 

 

 

g.

1. P ∙ (I ⊃ L)

2. T ⊃ C

3. _______ _____

4. I ⊃ L 3 SM

 

 

 

h.

1. L v (C ∙ G)

2. (L ⊃ S) ∙ ((C ∙ G) ⊃ (T ≡ R))

3. _____________ _______

 

 

 

 

i.

1. ~(C ∙ G) ⊃ (T ≡ R)

2. ~ (T ≡ R)

3. ~~(C ∙ G) __ ___

4. _____ _____

 

 

 

 

j.

1. ((N v (J v L)) ⊃ T

2. ~ T

3. __________ ____

4. ~((N v J) v L) 3, AS

 

 

 

 

 

k.

1. F ⊃ (P v C)

2. (B ∙ C) ⊃ F

3. ~(C v P)

4. ________ ___

5._________ ___

6. ~(B ∙ C) ________

 

 

 

 

l.

1. T ⊃ (I ∙ O)

2. (W v (B v T)

3. ~(W v B)

4. ________ ______

5. ________ ______

6. ________ ______

7. I _______

 

 

 

 

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