Calculate the truth value (f or V)
a. Is it true that if (the Papaya is a fruit from the Caricaseas or the Pitahaya is the fruit of a plat from the Cactaseas) then (el Cohombro is a fruit of a plant from the family of the Cucurbitaceas or the Nisper is a fruit of a tree from the family of the Rosaceas).
b. Occurs that 19 is compound or if 12 is even then to is equal to 3 .
c. That 7 is a raw is a necessary condition for that the Twin Towers of New York were destroyed a September 11 or that Saddam Hussein were executed.
d. It happens that Natalia Paris is the superior sister of a monastery only if Amparo Grisales is A Nobel in Chemistry.
e. Saiddam Hussein was executed only if or Barack Obama is a priest or Michael Jackson was accused of .
f. Popayán is not the Cauca capital if and only if happens the necessary and sufficient condition for that Colombia becomes a South America country is that Bolivia does not have sea.
a. To determine the truth value of this statement, we need to evaluate the conditions mentioned. The statement says that if either "the Papaya is a fruit from the Caricaseas" or "the Pitahaya is the fruit of a plant from the Cactaseas" is true, then either "el Cohombro is a fruit of a plant from the family of the Cucurbitaceas" or "the Nisper is a fruit of a tree from the family of the Rosaceas" is true.
Let's break it down into its components:
P = "the Papaya is a fruit from the Caricaseas"
Q = "the Pitahaya is the fruit of a plant from the Cactaseas"
R = "el Cohombro is a fruit of a plant from the family of the Cucurbitaceas"
S = "the Nisper is a fruit of a tree from the family of the Rosaceas"
The statement can be written as: (P ∨ Q) → (R ∨ S)
To calculate the truth value, we need to check if the condition (P ∨ Q) is true and if the consequence (R ∨ S) is true. If the condition is true and the consequence is false, the statement is false; otherwise, it is true.
b. Similarly, we need to evaluate the conditions mentioned in this statement. The statement says that "19 is compound or if 12 is even, then 2 is equal to 3."
Let's break it down:
P = "19 is compound"
Q = "12 is even"
R = "2 is equal to 3"
The statement can be written as: (P ∨ Q) → R
To calculate the truth value, we need to check if the condition (P ∨ Q) is true and if the consequence R is true. If the condition is true and the consequence is false, the statement is false; otherwise, it is true.
c. Again, we need to evaluate the conditions mentioned in this statement. The statement says that "7 is a raw is a necessary condition for the Twin Towers of New York being destroyed on September 11 or Saddam Hussein being executed."
Let's break it down:
P = "7 is a raw"
Q = "the Twin Towers of New York were destroyed on September 11"
R = "Saddam Hussein was executed"
The statement can be written as: P → (Q ∨ R)
To calculate the truth value, we need to check if the condition P is true and if at least one of the consequences (Q or R) is true. If the condition is true and none of the consequences is true, the statement is false; otherwise, it is true.
d. This statement says that "Natalia Paris is the superior sister of a monastery only if Amparo Grisales is a Nobel in Chemistry."
Let's break it down:
P = "Natalia Paris is the superior sister of a monastery"
Q = "Amparo Grisales is a Nobel in Chemistry"
The statement can be written as: P → Q
To calculate the truth value, we need to check if the condition P is true and if the consequence Q is true. If the condition is true and the consequence is false, the statement is false; otherwise, it is true.
e. This statement says that "Saiddam Hussein was executed only if Barack Obama is a priest or Michael Jackson was accused of ."
Let's break it down:
P = "Saiddam Hussein was executed"
Q = "Barack Obama is a priest"
R = "Michael Jackson was accused of "
The statement can be written as: P → (Q ∨ R)
To calculate the truth value, we need to check if the condition P is true and if at least one of the consequences (Q or R) is true. If the condition is true and none of the consequences is true, the statement is false; otherwise, it is true.
f. This statement says that "Popayán is not the Cauca capital if and only if the necessary and sufficient condition for Colombia becoming a South American country is that Bolivia does not have sea."
To calculate the truth value of this biconditional statement, we need to evaluate both directions: the condition and the consequence.
Let's break it down:
P = "Popayán is not the Cauca capital"
Q = "Colombia becomes a South American country"
R = "Bolivia does not have sea"
The statement can be written as: P ↔ (Q → R)
To calculate the truth value, we need to check if both directions are true. If they are not, the statement is false; otherwise, it is true.
Remember to evaluate each atomic statement (P, Q, R) separately and then substitute them back into the overall statement to calculate the truth value.