Determine the line and the reason for the entry on line 5 given the following part of a formal proof of validity: 1. E= (F ^¬G) 2. (F V G) = H 3. Е : H 4. F ^ ¬G 5. F 6. F V G 7. H A 4 SIMPLIFICATION 5 ADDITION 1,2 HYPOTHETICAL SYLLOGISM D) 4,3 MODUS PONENS

Q: Show that the following are logically equivalent using logic algebra a) pv (p^q) = p b) (p^q) v (~pv…

A: To Show- Show that the following are logically equivalent using logic algebra. p ∨ p ∧ q ≡ p p ∧ q…

Q: proofl Ant>pl An

A: Solution

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: Determine the line and the reason for the entry on line 3 given the following part of a formal proof…

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Q: Prove it by using truth table. a. a is valid if and only if True = a. b. a l= ß if and only if the…

A: As you need only (d) and (e) parts, solution is given below -

Q: Determine the line and the reason for the entry on line 4 given the following part of a formal proof…

A: For two given statements, if one statement implies the other and the first statement is valid, the…

Q: Which of the following is logically equivalent to the statement: (~p A true ) true false

A: Discrite mathematics, truth table

Q: 1. Determine the truth value of the compound statement given that p is a false statement, q is a…

A: Since you have posted multiple questions we will solve first one. For remaining questions you have…

Q: Prove using truth table KB a ?

A: Here given three variables a, b and c  So using 3 variables truth table derive result

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: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not…

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Q: Write the premise in symbols, and then in the final part, give a conclusion that yields a valid…

A: p = "one is ugly" q= "one is a doctor" r = "one is a promise-breaker" s ="one is dependable" t =…

Q: If p is true and q is false, find the truth values for each of the following in parts a through d.…

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Q: Which of the following statemens is equivalent to the statement Vq))?

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Q: 0 Xツ=) X-プ=0 の X+1y =2 X-ッツ=-) の 3×+7ソ-32=2 2x+.5y +Z = -4 2x +6ytl02 = } @ 2x +y - 2 2=10 3×+リ +2ス=…

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Q: Evaluate (A = (B = C)) = ((A ^ B) = C). O Contradiction O Tautology О АЛВ

A: We will find out the required value.

Q: (9) 1. ~ GƆ (A v B) 2. - B 3. AƆ D 4. - G/;, D

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Q: 4. let an= ( 21-114 + 3 (-1/4+1 if n=34 (-114 if n = 34+1 ü 1-14 i| n=34+2 (2/1+1) (24+3) find I9m…

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Q: 군.Re(리- %3D 2. co 8. 8 Z=0

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Q: Determine the line and the reason for the entry on line 6 given the following part of a formal proof…

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Q: 4. let an = 21-114 + 3 (-1/4+1 if n=34 (-114 if n = 34+1 ü 1-114 if n=34+2 (2/1+1) (24+3) find Ipm…

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Q: De Morgan's Laws: ~(A/B) ~AV~B ~(A V B) ~AA~B Given the statement, rewrite using De Morgan's Laws,…

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Q: Use Valid Argument Forms (i.e., Modus Ponens, etc.) to deduce the conclusion from the premises. Give…

A: Given the set of premises and the conclusion, 1. A2. ~A∨B3. ~D→~C4. ~B∧~C5. B∧C→E∨~D…

Q: Let P. Q. R be true, false true, respectively. Which of the following is true? * PA ΡAQAR PA~Q ^~R O…

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Q: II. Prove/Disprove: 1. (¬A → → ¬B) + (¬C A A) = ¬ (A V –¬B) + (В — С)

A: We will check whether the given statement is equivalent or not.

Q: WHICH OF THE FF IS FALSE TOX AC B BULA-B7 = AMB AV (B-A) = AVB

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Q: Nr- (p AN q) -pAN q

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Q: 6. ¬ (A V q) ^ (A ^ q) is a a) Tautology b) Contradiction c) Contingency d) None of the mentioned 7.…

A: tautology= is an expression involving logical variables which is true for all cases is called…

Q: Translate the following logical statements into words. W (d^ c) Suppose that: d:l lock the doors.…

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Q: Which of the following describes the following: ((p--> q)^(q-->r)) --> (p-->r) Disjunctive…

A: we have p→q∧q→r→p→r claim- to find out of these four option which one is correctly describe the…

Q: อธิบาย

A: English Translation

Q: [(p^~q) v~r] ^ (q^r)

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Q: Determine the line and the reason for the entry on line 5 given the following part of a formal proof…

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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: 1. Show that the following pairs are logically equivalent: a. P^ (Q V R); (P^ Q)V (P ^ R) b. P v (Q…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Simplify (-mvs)^-(mas) to ¬m 1. Select a law from the right to apply (-mvs)^-(mas)

A: We have ¬m∨s∧¬m∧s                       (1) By De Morgan's law ¬(a∧b)=(¬a∨¬b), we can write…

Q: Consider the argument: Premise 1: p→q Premise 2: ~r Premise 3: qvr Conclusion: r Write the above…

A: If we are given with certain premises and a conclusion, it states that the meet of all the premises…

Q: Determine what rule of replacement was used: (H כ) י (F כ E) .. (E ɔ F) . ( ~~H ɔ ~ G) (A) Material…

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Q: Consider the proposed proof of the statement Proof Statement 1. VA, B, CCU,C- (AUB) = (A - C) U…

A: INTRODUCTION Similar to basic operations on integers, set operations are a notion. Mathematical sets…