Question

Given the argument: Oleg is a math major or Oleg is an economics major. If Oleg is a math major, then Oleg is required to take Math 362. :: Oleg is an economic major or Oleg is not required to take Math 362. (a) Write the argument form. (define your variables) (b) Use truth tables to check the validity of the argument. (c) Explain why the argument is valid or invalid.

Answer 1

Answer:

Logic with the use of Truth Table

Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R

b)i) Oleg is a math major or Oleg is an economic major:

     P║ Q ║ P∨Q

     T     T       T

     T      F       T

     F      T       T

     F      F       F

ii)  Oleg is a math major, then Oleg is required to take Math 362:

    P║  R  ║  P∧ R

    T     T         T

    T     F         F

    F     T         F

    F     F         F

iii) Oleg is an economic major or Oleg is not required to take Math 362:

    Q║   ←R   ║  Q ∨ ←R

    T        T              T

    T        F              T

    F        T              T

    F        F              F

c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨  Q) is valid.