Introduction to Propositional Logic Work Problems For each statement, indicate whether it is atomic or molecular. If it is molecular, identify the atomic statement or statements within it. Then, symbolize it in our logical language. 1. All dogs are mammals 2. Some dogs are kind and some dogs are mean. 3. Some cats are not housebroken. 4. Some mammals are cats and some mammals are dogs 5. Some fish are pets, and some fish are not pets. 6. If you want pet fish, you should get an aquarium. 7. If you want to do well, you should be kind but stand up for yourself 8. You are either going to win or you are going to lose 9. You will win only if you try your best. 10. People should be treated fairly 1. All fish live in water 12. Not all fish live in water 13. All cats live on land. 14. Fish live in water and cats live on land. 15. Dogs bark at strangers. 16. Either dogs bark at strangers, or fish live in water or cats live on land 17. Frogs are mammals. 18. Frogs are not mammals 19. If frogs are not mammals, then dogs bark at strangers. 20. Either frogs are not mammals or fish live in water