for
indirect proof, the conclusion is first assumed to be false and
then it is shown that the premise also becomes invalid that is
false.
3. Prove the following argument by the indireet method: P-Q Q' v R SR WA S
determine whether the argument is balud usinf the eight rules
of standard deduction
Page 2) 1.-P → (Q v (R & S)) 2. P→Q 3. -Av Q 4-Q / ~RvS 3) 1, ~P → Q 4. S
Page 2) 1.-P → (Q v (R & S)) 2. P→Q 3. -Av Q 4-Q / ~RvS 3) 1, ~P → Q 4. S
1. Use full-truth table method to check if the following argument is valid -p•(qv-I), (p=q). (qvr)>p 1: p=(-q=r) 2. Use short-cut truth table method to check if the following argument is valid p=(r v (p.-9). [=(qv(re-p)) 1:9= (pv (q.-1))
QUESTION 3 Symbolize the following argument using the variables p, q, and r. Then construct a complete truth table to show whether or not the argument is valid. Use 1 for T(true) and 0 for F(false). Valid or Invalid? Why? Prove. Explain what your truth table shows. 10 points Total: 3 points for correct symbolic form, 4 points for valid/invalid and reason, 3 points for correct truth table. If Max studies hard, then Max gets an 'A' or Max gets...
ТР ТP b) [(p V q)r) rp V)] 3. For the primitive statements p, q, r, and s simplify the compound statement
Show that the following is a valid argument. 1. y V t 2. (w V u) ^(w V x) 3. (q V r) rightarrow w 4. s V p 5. (y ^r) rightarrow x 6. (p ^q) rightarrow (t V r)
2. (a) Prove that the following sequents cannot be valid: (i) ( PQ) V ~RE (~Q ^ R) P (ii) PQ, R=~SE (PVR) = (Q V S)
3. (Logic) Answer the following questions:
Construct the truth table for (p rightarrow r) (q rightarrow r) doubleheadarrow (p q) rightarrow r Is the following argument valid? (r s) (q s) s rightarrow (p r) rightarrow t) t rightarrow (s r) p rightarrow r
Prove the following is a tautology (without using a truth table) [(p →q) (q + r)] → (p → r)
Using inference rules
Show that the argument form with premises (p t) rightarrow (r s), q rightarrow (u t), u rightarrow p, and s and conclusion q rightarrow r is valid by first using Exercise 11 and then using rules of inference from Table 1.
SUPER-LONG TRUTH TABLE METHOD Determine the validity using the super-long truth table method. P>~Q,~Q>~(R&S):P>(~R&~S)