Philosophy Examples (Statement to Symbolic)

Question

The explosion of population entails that there is poverty.

If neither love nor pity can persuade the rebels to cooperate with the government authorities, then they either ask for mercy and forgiveness or leave the country.

If either James or Carlo runs for the council, then, Oliver and France will have a difficulty of winning.

If Frank and Elaine are winners in the recent election then, Brent and Arthur are the losers.

Either Carla sings the masterpiece or Jerry and Marco play the instruments.

Judy and Boy proceeded to the meeting eventhough both Sharmaine and Nancy can’t make it.

Unless, you come with us, you will not see the place and if you come then you’ll surely enjoy the afternoon.

Either the rain falls, or the field crops will wither and die.

Either the price of oil and the daily fare will increase or either our economy will boom or if our energy secretary will favor the labor force then our resources will be protested.

 That government officials be honest is the necessary condition for the country to progress.

Answer 1

An example using #1 on how to translate statements to symbolic formulas:

To translate the statement "If neither love nor pity can persuade the rebels to cooperate with the government authorities, then they either ask for mercy and forgiveness or leave the country" into symbolic formula, we can assign propositions and use logical operators to represent the relationships between them. Let's assign the following propositions:

L: Love can persuade the rebels to cooperate with the government authorities.

P: Pity can persuade the rebels to cooperate with the government authorities.

R: The rebels ask for mercy and forgiveness.

C: The rebels leave the country.

Using these propositions, we can translate the statement into symbolic formula as follows:

(~L ∧ ~P) → (R ∨ C)

Explanation:

~L represents the negation of proposition P, which means "love cannot persuade the rebels to cooperate with the government authorities."

~P represents the negation of proposition Q, which means "pity cannot persuade the rebels to cooperate with the government authorities."

R represents the proposition "the rebels ask for mercy and forgiveness."

C represents the proposition "the rebels leave the country."

The symbol ∧ represents the logical operator "and," and ∨ represents the logical operator "or."

The arrow → represents the logical implication, stating that if the condition on the left side is true, then the result on the right side follows.

Therefore, the symbolic formula (~L ∧ ~P) → (R ∨ C) represents the given statement in philosophical logic