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    Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

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    ~ tilde
    . conjunction
    v disjunction
    > implication
    = biconditional

    1. Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

    If today is Saturday and it is not raining, then we will play golf. (S,R,G)

    2. Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

    Class would be cancelled today if it was snowing. (C,S)

    3. Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

    Mulder believes that the truth is out there but Scully does not. (M,S)

    4.Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

    Logic is not difficult if and only if you study the material. (L,M)
    Question 4 answers

    Question 5
    Translate the following sentence into propositional form. Use the letters suggested for affirmative statements.

    Neither Brazil nor Argentina are in North America. (B,A)

    Question 6
    If A,B, and C are TRUE and X,Y, and Z are FALSE what is the truth value of the following proposition?

    ~(B v C)> (X = Y)

    Question 7
    If A,B, and C are TRUE and X,Y, and Z are FALSE what is the truth value of the following proposition?

    A > [A >(A > Z)]

    Question 8
    If A,B, and C are TRUE and X,Y, and Z are FALSE what is the truth value of the following proposition?

    A . [(X v Y) > (B > ~A)]

    Question 9
    Determine if the following is a Well Formed Formula.

    ~~D . (A > B)(X v Y)
    Question 9 answers

    Question 10
    Determine if the following is a Well Formed Formula.

    (L v ~Q) . ~(~A = ~B)

    Question 11
    Determine if the following is a Well Formed Formula.

    A . (B > C > E)

    Question 12
    Determine if the following is a Well Formed Formula.

    (L . M) v (G = Q > R)

    Question 13
    Determine if the following is a Well Formed Formula.

    D = [~E . (F v G)]

    Question 14
    Construct a truthtable to determine whether the following proposition is tautologous, self-contradictory, or contingent.

    P > [P > (P > P)]

    Question 15
    Construct a truthtable to determine whether the following proposition is tautologous, self-contradictory, or contingent.

    (A v B) . ~[~A > (B v A)]

    Question 16
    Construct a truthtable to determine whether the following proposition is tautologous, self-contradictory, or contingent.

    [(A > B) . (B > A)] . ~(A = B)

    Question 17
    Construct a truthtable to determine whether the following proposition is tautologous, self-contradictory, or contingent.

    (S > R) . (S . ~R)

    Question 18
    Use truth tables to determine whether the following propositions are logically equivalent, contradictory, consistent, or inconsistent.

    ~A = X

    (X . ~A) v (A . ~X)

    Question 19
    Use truth tables to determine whether the following propositions are logically equivalent, contradictory, consistent, or inconsistent.

    R v ~S

    S . ~R

    Question 20
    Use truth tables to determine whether the following propositions are logically equivalent, contradictory, consistent, or inconsistent.

    (X > Y) > Q

    X > (Q > Y)

    Question 21
    Construct a truth table to determine whether the following argument is valid or invalid.

    A > (N v Q) / ~(N v ~A) // A > Q

    Question 22
    Construct an indirect truth table to determine whether the following argument is valid or invalid.

    (X v Y) > (A . B) / (~X v ~Y) > E // (~A v ~B) > E

    Question 23
    Construct an indirect truth table to determine whether the following statements are consistent or inconsistent.

    (Q v K) > C / (C . F) > (N v L) / C > (F . ~L) / Q . ~N

    Question 24
    If A, B, and C are TRUE and X, Y, and Z are FALSE and P and Q are UNDETERMINED what is the truth value of the following proposition?

    B > (Z . ~P)

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