Determine the line and the reason for the entry on line 5 given the following part of a formal proof of validity: 1. (P= Q) A (R= S) РAR 2. 3. P = Q 4. 5. 6. (R= S) ^ (P → Q) A 3,4 MODUS PONENS B 1,2 CONSTRUCTIVE DILEMMA 1 SIMPLIFICATION D 1,2 DESTRUCTIVE DILEMMA

Q: Date : (AV B)→~C CVD 'A D Proof : Statement Justification CAVB)~C Premise Premise CVD 2. Premise A ~…

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Q: d) (p→q)^(p →r) e) (p→q) v (q + r) f) (¬p →¬q) → (q + r)

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Q: 1. Which of the following is correct : a) (p V q) = -p ^ ¬q b) -(p V q) = -p ^ q с) -(p V q) — р^-д…

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Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E: Determine which of the following…

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Q: 12. What can you conclude from (PV Q) ^ ¬P? Prove it.

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Q: True or False and Why. {{1}, {42}} = {1, 42} U{{1}, {42}} = {1, 42} U{1, {1,42}} = = is What? Why?

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Q: Determine the validity of the ff. argument: ( Note: "-" means "-") a. b. С. d. u V w f. ..~t е. O…

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Q: 4. The following are the proofing steps of an argument in formal reasoning. In proofing step 5, what…

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Q: Determine the validity of the following syllogism, and explain your answer. (You may draw a picture,…

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Q: ー1 -2 -1 A2 2 ३ ५ 6 12 6 3 -2 3 '5 10 i) Riud raulk of A ) Raulk of B- ) Rauk of AtB. iv) Reule of )…

A: a) The given matrix is A=11-12-343-23. Row operation: R2→R2-2R1 and R3→R3-3R1. 1-110-12010 Row…

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Q: 13. Foofy studies if hearing an argument in favor of an issue alters participants' at- titudes…

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Q: 1. The following statements are all false. Do not simply negate the statement. Give a counterexample…

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Q: Statement Reason E. (s Ab)k - (SAb)c 1. (s Ab)→k 1. 2. -k 2. ~k 3. ~ (sab) 3. 4. ~ (SAb) →c 4. 5. c…

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Q: 5. For the given premises, determine a suitable conclusion so that the argument is valid. (a) p q, I…

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Q: CUB

A: Given as, a) (A-(~B))-[~(~A(A-(~B)))] b) ~[((A-B)CB] c) S(P(~S))(Q(~S))[~(PQS)]

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A: GivenP(B)=14P(A∪B)=12P(A|B)=23

Q: 1. Here is a model M: Domain: {1,2, 3, 4, 5} P : {1,3,5}, Q : {2,4, 5}, R : Ø, S : {3,4} a : 3, b: 4…

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Q: Draw the truth table and the logic circuit F = xy' + x'z

A: X Y Z X' Y' XY' X'Z XY'+X'Z 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1…

Q: Part II (10 points, 2 points per proof) For each of the following arguments construct a formal proof…

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Q: 1. From a single proposition p^(p⇒ q) Show that the q is the conclusion. 2. Construct a valid…

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Q: 1. Proof the following by deductive reasoning: a) (p → q) A (q → r) =p →r Transitive Law b) (p → r)…

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Q: Which of the following models are counter-models that shows that is not a logical consequence?…

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Q: EXERCISES 1. Compute the truth values of the following, given that A, B, and C are true and X, Y,…

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Q: 35. Construct a truth table for each of these compound propo sitions. a) (pvq) → (peq) c) (pv q)…

A: d). Given,             p↔q⊕¬p↔q.

Q: مسئله ۳: إذا كانت )rp_~(~ = « و = p KB، )vq(^(~qrأثبت من خلال طريقة التحليل )إثبات قائم على التناقض(…

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