Prove that the following arguments are invalid. Use method of interpretation
Prove that the following arguments are invalid. Use method of interpretation (5) 1. (Ex)(Px. ~ Qx)...
5. Only pacifists are Quakers. 6. 1x) ("KxvLx) /(3x) (Px & Sx) There are religious Quakers. So, pacifists are sometimes religious. (Px, Qx, Rx) / (3x) (Kx & Lx) 5. Only pacifists are Quakers. 6. 1x) ("KxvLx) /(3x) (Px & Sx) There are religious Quakers. So, pacifists are sometimes religious. (Px, Qx, Rx) / (3x) (Kx & Lx)
Prove Valid: 1. (z)(Pz --> Qz) 2. (Ex) [(Oy • Py) --> (Qy • Ry)] 3. (x) (-Px v Ox) 4. (x) (Ox --> -Rx) ... :. (Ey) (-Py v -Oy) 1. (x) [(Fx v Hx) --> (Gx • Ax)] 2. -(x) (Ax • Gx) ..... :. (Ex) (-Hx v Ax) 1. (x) (Px --> [(Qx • Rx) v Sx)] 2. (y) [(Qy • Ry) --> - Py] 3. (x) (Tx --> -Sx) .... :. (y) (Py --> -Ty)
II Establishing Invalidity For each sequent, provide an interpretation that renders it invalid and set out a matrix representation (up to 5 points). 6. (x)-Fx |# (y)(Fy v Gy) 7. (3x)(Fx & -Hx), (x)(Gx & -Hx) * (3x)(Fx & Gx) 8. (3x)(Fx →B), (y)(B Fy) (1x)(B+Fx) 9. (Ex)Fx v Cb Fb v Cb 10. (Vx)(Px & -Tx) + (y)(PyTy) Next page, please
The demand for widgets (X) is given by the following equation: QX = A PX-0 .5 PW PY-1.25 PZ-0.25 I where PX is the price of widgets, PY, PW and PZ are the prices of woozles, gadgets, and whatsits respectively, and I is income. (A) The manufacturer of widgets is contemplating an increase in its price. Is it possible to know whether revenue will increase or decrease given that the initial price of widgets is not known? (2) (B) By...
prove that the arguments are valid using rules of inference and laws of predicate logic, (state the laws/rules used) Væ(P(x) + (Q(x) ^ S(x))) 3x(P(x) R(x)) - - .. Ex(R(x) ^ S(x)) - - - (0)H-TE. - – – – – – (24-TE ((x)S_(w))XA ((x)S ^ ()04)XA (2) 1 (x)d)XA
Use propositional logic to prove that the following arguments are valid. Do not use truth tables. 1. ( A C)^(C --B) AB: A 2. (P→ (QAR)) AP: (PA) 3. Z. (ZAZ) 4. A: (AV B)^(AVC) 5. (I → H) A (FV-H) AI: F
1. Use truth tables to prove whether these propositional assertions are valid or invalid
Use MP, MT, DS, and HS to prove that the following arguments are valid. Am I doing this correctly and what step am i missing? 1. A ---> (B ---> C) 2. ~ C 3. ~ D ---> A 4. C ∨ ~D PROVE: /∴ ~ B 5. ~D (2,4) Disjunctive Syllogism 6. A (3,5) Modus Ponens 7. B --->C (1,6) Modus Ponens 8.~ B
Use propositional logic to prove the validity of the following arguments: a) (P -> Q) -> (Q' -> P') b) [(P∧Q) -> R] -> [P -> (Q -> R)]