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
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
N 3. Q+ "S 4.PNS 5. NS "R 6. PMR KPremise)/:P "R 1, 3, CA 2, CONTR 4, 5, CA mts Identify which Group I or Group II Rule was used in Deductions. (2) Ask Print 1. P - Q (Premise) 2. R - ("S v T) (Premise) 3. p R (Premise)/: ("Q & S) T 4.NQ NP 5. "Q R 6. "Q ("S v T) 7. "Q ( ST) 8. ("Q & S) T References (Premise) |(Premise) (Premise)/: ("Q...
Required information 3. Q NS 4. PNS 5. NS "R 16. PR (Premise)/: PR 1, 3, CA 2, CONTR 4, 5, CA Identify which Group I or Group II Rule was used in Deductions. (1) 1. NP (Premise) 2.( QR) & ( RQ) (Premise) 3. Rv P (Premise) /: Q 4. R 5. R Q 6. Q aces 11. P 2. ( QR) & (R+Q) 3. RVP 4. R 5 R + Q 6. Q (Premise) (Premise) (Premise).
ТР ТP b) [(p V q)r) rp V)] 3. For the primitive statements p, q, r, and s simplify the compound statement
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
The tone row from a certain piece of music is p-(5, 8, 0, 4, 7, 10, 2, 6, 9, 11, 1, 3). Show that p = T4(Cg(R(rp)))). p-(5, 8, 0, 4,7, 10, 2, 6,9, 11, 1, 3) I(p) R(rp),- T4(C3(R(p))- eBook The tone row from a certain piece of music is p-(5, 8, 0, 4, 7, 10, 2, 6, 9, 11, 1, 3). Show that p = T4(Cg(R(rp)))). p-(5, 8, 0, 4,7, 10, 2, 6,9, 11, 1, 3) I(p) R(rp),-...
1. Use the DPP to decide whether the following sets of clauses are satisfiable. (a) {{¬Q,T},{P,¬Q},{¬Q,¬S},{¬P,¬R},{P,¬R,S},{Q,S,¬T},{¬P,S,¬T},{Q,¬S},{Q,R,T}} (b) {{¬Q,R,T},{¬P,¬R},{¬P,S,¬T},{P,¬Q},{P,¬R,S},{Q,S,¬T},{¬Q,¬S},{¬Q,T}} 2. Decide whether each of the following arguments are valid by first converting to a question of satisfiability of clauses (see the Proposition), and then using the DPP. (Note that using DPP is not the easiest way to decide validity for these arguments, so you may want to use other methods to check your answers) (a) (P → Q), (Q → R),...
(8) The Divergence Theorem for Flux in Space F(x, y, z) =< P, Q, R >=< xz, yz, 222 > S: Bounded by z = 4 – x² - y2 and z = 0 Flux =S} F înds S (8a) Find the Flux of the vector field F through this closed surface. (8) The Divergence Theorem for Flux in Space F(x,y,z) =< P,Q,R >=< xz, yz, 222 > S: Bounded by z = 4 – x2 - y2 and z...
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x - y > S:z = 4 - x2 - y2 and z>0 (9a) Evaluate W= $ Pdx + Qdy + Rdz с (9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R>=<-y+z, x - 2, x - y > S:z = 4 - x2 - y2 and z 20 (9b) Verify Stokes' Theorem.