ТР ТP b) [(p V q)r) rp V)] 3. For the primitive statements p, q, r,...
Example 1. RP 2. Q R 1:: Q = P. Answer 11. RP 2. Q R 3. Q->P (Premise) (Premise) /.. Q->P [1, 2, CA Construct deductions for each of the following arguments using Group I rules. (4) es 1. P 2. (R & S) v Q 3. NP "QI.. "(R & S) 1. P 2. "(R & S) VQ 3.`p NQ 4 5. (Premise) (Premise) (Premise)/A MR & S) If
QUESTION 23 The statements P + (Q v R) and (P +Q) v (P + R) are logically equivalent. True False QUESTION 24 The statements (P^Q) + Rand (P + R)^(Q + R) are logically equivalent. True False QUESTION 25 ( PQ) and PA-Q are logically equivalent statements True False QUESTION 26 According to De Morgan's Laws, (PAQ) is logically equivalent to 7P ^ 70. True False
Required information SIM = Simplification Example 1. RP 2. Q - R 7..QP Answer 1. RP 2. Q R 3. Q ->P (Premise) (Premise) 7.. Q->P [1, 2, CA Construct deductions for each of the following arguments using Group I rules. (3) 1. (Q v P) +R 2. P/.. R 1. (Q v P) +R 2. P 13R 14. (Premise) |(Premise) /:: R
Question 12 Let p, q and r be simple declarative statements. Which alternative provides the truth values for the biconditional ‘?, of the compound statement provided in the given table? q ? p) and Hint: Determine the truth values of p ? r, q v r, (p ? r) ^ (q v r), q ? p, (q-p) rin separate columns before determining the truth values of TIFF FTF F F T
Answer 1. RP 2. Q R 3. Q->P (Premise) (Premise) /..Q->P 1, 2, CA Construct deductions for each of the following arguments using Group I rules. (1) nces 1. PS 2. PvQ 3. QR/..SvR 1. PS 2. PvQ 3. Q R 4. (Premise) KPremise) (Premise) //. SVR
Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.~[(~p ^ q) ^ r]
Let p, q, and r represent the following simple statements. p: I get an A. q: It is snowing outside. r: I work hard. Write the following compound statement in its symbolic form. I get an A and it is snowing outside, or I work hard. The symbolic form is
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
QUESTION 2 a. Let p and q be the statements. i Construct the truth table for (-p V q) ^ q and (-p) v q. What do you notice about the truth tables? Based on this result, a creative student concludes that you can always interchange V and A without changing the truth table. Is the student, right? ii. Construct the truth tables for (-p VG) A p and (-p) v p. What do you think of the rule formulated...
3. Prove the following argument by the indireet method: P-Q Q' v R SR WA S