   philosophy.lander.edu Homepage > Logic >  Tests > Symbolic Logic > Part II: Argument Forms Answers Philosophy 103: Introduction to Logic Test: Symbolic Logic Topic: Theory Construction in Economics To access answers with a non-java enabled browser,  click here:  SYMBOLIC LOGIC  TEST PART II:  ARGUMENT FORMS

Part II:  Argument Forms.  Professor Usurer claims:

1. His fourth law can be deduced from the higher-level law (1).
2. His fifth law follows from higher-level law (2), and
3. His sixth law can be deduced from higher level law (4).

Evaluate his claims.

A.  His fourth law can be deduced from the higher-level law 1--Answer

 Higher Level Law (1): Form (P Q) (R T)   premiss (p q) (r t) Prof. Userer's Fourth Law: Q R q r

 premiss conclusion p q r t p q r t (p q) (r t) q r 1 T T T T T T T T 2 T T T F T F F T 3 T T F T T F F F 4 T T F F T F F F 5 T F T T F T T T 6 T F T F F F T T 7 T F F T F F T T 8 T F F F F F T T 9 F T T T F T T T 10 F T T F F F T T 11 F T F T F F T F invalid 12 F T F F F F T F invalid 13 F F T T F T T T 14 F F T F F F T T 15 F F F T F F T T 16 F F F F F F T T

Prof. Userer's claim must be rejected.

B.  His fifth law follows from higher-level law (2)--Answer.

 Argument Form of Argument (R T) V  premiss T V  conclusion (r t) v t v

 premiss conclusion r t v r t (r t) v t v
 1 T T T T T T 2 T T F T F F 3 T F T F T T 4 T F F F T T 5 F T T F T T 6 F T F F T F invalid 7 F F T F T T 8 F F F F T T

Prof. Userer's claim must be rejected

C.  His sixth law can be deduced from higher level law (4).

 Argument Form of Argument Higher Level Law (4): V (U T)  premissUserer's Sixth Law: V U  conclusion v (u t) v u
 premiss conclusion t u v u t v (u t) v u 1 T T T T T T 2 T T F T T T 3 T F T T T F invalid 4 T F F T T T 5 F T T T T T 6 F T F T T T 7 F F T F F F 8 F F F F T T

Prof. Userer's claim must be rejected

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