The Art Bell memorial categorical proposition exercises
Try to rewrite the following statements as conditionals. If a statement is a particular statement (and so cannot be translated as a conditional), then identify its contradictory. Finally, identify which of the following statements turn out to be equivalent to one another.
1. Everyone who has been probed by aliens has seen Elvis.
2. Nobody who has seen Elvis has been probed by aliens.
3. Some folk who’ve seen Elvis have not been probed by aliens.
4. Only folk who’ve seen Elvis have been probed by aliens.
5. Some folk who’ve not been probed by aliens have seen Elvis.
6. Everyone has seen Elvis.
7. "Ain't nobody been probed by aliens!"
8. Everyone who has not been probed by aliens has seen Elvis.
9. Everybody has been probed by aliens, and some have seen Elvis.
10. No one who hasn’t seen Elvis has been probed by aliens.
11. Nobody who hasn’t seen Elvis hasn’t been probed by aliens.
12. Everyone who has not been probed by aliens has not seen Elvis.
13. Everyone who has either seen Elvis or been to Area 51 have been probed by aliens.
14. None who’ve been to Area 51 and been probed by aliens have seen Elvis.
15. None but those who've seen Elvis have been probed by aliens.
16. "No one is a failure who has friends." - Clarence, from It's a Wonderful Life
17. "No one is a hero to his valet." - GWF Hegel, Phenomenology of Spirit