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理則學 練習15 範例 (取自梅子姐)
2007/12/28 19:37:27瀏覽1007|回應1|推薦1

理則學 練習15 範例

A-10

1. HJ

Premise

2. H

Premise

3. J

From 1, 2 by Modus ponens

4. J (JVK)

Tautology

5. JK

From 4, 3 by Modus ponens

 

C-10. (E&F)G, HE, F (HG)

1. (E&F)G

Premise /F(HG)

2. HE

Premise

3. E (FG)

From 1 by exportation

4. H (FG)

From 2, 3 by chain argument

5. (H&F)G

From 4, by exportation

6. (F&H)G

From 5, by commutation

7. F (HG)

From 6, by exportation

 

D-1. If the patient had no fever, then malaria was not the cause of his illness. But malaria or food poisoning was the cause of his illness. The patient had no fever. Therefore, food poisoning must have caused his illness. (F, M, P)

Let "F" mean "The patient had the fever ," let "M" mean "Malaria was the cause of his illness," let "P" mean "Food poisoning was the cause of his illness."

論證簡化如下:

1.FM

2. MVP

3. F

P

 

1. FM

Premise /P

2. MVP

Premise

3. F

Premise

4. M

From 1, 3 by modus ponens

5. P

From 2, 4 by disjunctive argument

 

( 知識學習隨堂筆記 )
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2008/01/13 18:46
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