- Proposition: There is a black hole at the center of our galaxy, the Milky Way.
Truth value: True.
Truth conditions: This proposition is true if there exists a supermassive black hole located at the center of the Milky Way galaxy.
Entailment: “There is a black hole at the center of our galaxy, the Milky Way” entails “The Milky Way galaxy harbors a supermassive black hole.”
2. Proposition: There are no planets outside our solar system that can support life.
Truth value: False.
Truth conditions: This proposition would be true only if it were impossible for any exoplanets beyond our solar system to support life, which is currently unknown.
Entailment: “There are no planets outside our solar system that can support life” entails “If it’s a planet outside our solar system, then it can’t support life.”
3. Proposition: There exists a rogue planet wandering the depths of interstellar space.
Truth value: Unknown.
Truth conditions: For this proposition to be true, there must be at least one planet not gravitationally bound to any star, roaming through interstellar space.
Entailment: “There exists a rogue planet wandering the depths of interstellar space” would entail “Planets can exist without orbiting a star.”
