Formulate the following statements using predicate logic. You may use I # y to indicate tha the x and y are different. 1. All plancts orbit the sun and all moons orbit a planct. 2. Some planets have no moon. 3. Some planets have two or more moons.

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For this problem, the domain is the set of all solar system objects:
P(r) means r is a Planet
M(r) means r is a Moon
O(1, y) means r orbits y
Formulate the following statements using predicate logic. You may use x + y to indicate that
the x and y are different.
1. All plancts orbit the sun and all moons orbit a planet.
2. Some planets have no moon.
3. Some planets have two or more moons.
4. Some objects orbit the sun that are not plancts
5. Everything that orbits the sun is a planet.
(Also prove that this statement is the negation of the previous statement)
6. Pluto is a planct!
1
Transcribed Image Text:For this problem, the domain is the set of all solar system objects: P(r) means r is a Planet M(r) means r is a Moon O(1, y) means r orbits y Formulate the following statements using predicate logic. You may use x + y to indicate that the x and y are different. 1. All plancts orbit the sun and all moons orbit a planet. 2. Some planets have no moon. 3. Some planets have two or more moons. 4. Some objects orbit the sun that are not plancts 5. Everything that orbits the sun is a planet. (Also prove that this statement is the negation of the previous statement) 6. Pluto is a planct! 1
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