For each of the following lists of premises, derive the conclusion and supply the justification for it.

Question:

For each of the following lists of premises, derive the conclusion and supply the justification for it. There is only one possible answer for each problem.

(1) 1. G ⊃­ F

2. ∼ F

3. _______ ____

(2) 1. S

2. S ⊃­ M

3. _______ ____

(3) 1. R ⊃ D

2. E ⊃ ­ R

3. _______ ____

(4) 1. B ∨ C

2. ∼ B

3. _______ ____

(5) 1. N

2. N ∨ F

3. N ⊃­ K

4. _______ ____

(6) 1. ∼J ∨ P

2. ∼J

3. S ⊃ J

4. _______ ____

(7) 1. H ⊃­ D

2. F ⊃­ T

3. F ⊃­ H

4. _______ ____

(8) 1. S ⊃­ W

2. ∼ S

3. S ∨ N

4. _______ ____

(9) 1. F ⊃ ∼ A

2. N ⊃ A

3. ∼ F

4. ∼ A

5. _______ ____

(10) 1. H ⊃­ A

2. A

3. A ∨ M

4. G ⊃­ H

5. _______ ____

(11) 1. W ∨ B

2. W

3. B ⊃­ T

4. W ⊃­ A

5. _______ ____

(12) 1. K ⊃ ∼ R

2. ∼ R

3. R ∨ S

4. R ⊃­ T

5. _______ ____

(13) 1. ∼C ⊃ ∼ F

2. L ⊃­ F

3. ∼ ∼ F

4. F ∨ ∼ L

5. _______ ____

(14) 1. N ⊃ ∼ E

2. ∼ ∼ S

3. ∼E ∨ ∼S

4. ∼S ∨ N

5. _______ ____

(15) 1. ∼R ⊃ ∼ T

2. ∼ T ∨ B

3. C ⊃ ∼ R

4. ∼ C

5. _______ ____

(16) 1. ∼ K

2. ∼ K ⊃­ ∼ P

3. ∼ K ∨ G

4. G ⊃­ Q

5. _______ ____

(17) 1. F ∨ (A ⊃­ C)

2. A ∨ (C ­⊃ F)

3. A

4. ∼ F

5. _______ ____

(18) 1. (R ⊃­ M) ⊃­ D

2. M ⊃­ C

3. D ⊃­ (M ∨ E)

4. ∼ M

5. _______ ____

(19) 1. (S ∨ C) ­⊃ L

2. ∼ S

3. ∼ L

4. S ⊃­ (K ⊃­ L)

5. _______ ____

(20) 1. (A ∨ W) ⊃­ (N ⊃­ Q)

2. Q ⊃­ G

3. ∼ A

4. (Q ⊃­ G) ⊃­ (A ∨ N)

5. _______ ____

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Related Book For  book-img-for-question

A Concise Introduction to Logic

ISBN: 978-1305958098

13th edition

Authors: Patrick J. Hurley, Lori Watson

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