Proposition: I have three dogs.
Truth Value: True
Truth Condition: I would have at least three dogs.
Entailment: “I have three dogs.” entails “I have exactly three dogs.”
Proposition: Water is made of helium and oxygen.
Truth Value: False
Truth Condition: For this to be true, water would need to be composed of hydrogen and oxygen.
Entailment: “Water is made of helium and oxygen” entails that “Water is made of two elements, hydrogen and oxygen.”
Proposition: There exists life on other planets besides earth in the milky way.
Truth Value: Unknown
Truth Condition: Life exists on other planets besides earth in the milky way.
Entailment: “There exists life on other planets besides earth in the milky way.” Would entail “life existing on other planets in the milky way besides earth.”