For each of the following sets of statements, ascertain whether X implies Y (which we’ll represent as X → Y).
| X | Y | X → Y? | |
| 1 |
All human beings are mostly water. Clint Eastwood is a human being. |
Clint Eastwood is mostly water. | |
| 2 | Clint Eastwood is mostly water. | All human beings are mostly water. | |
| 3 | Lawrence was founded in 1995. | Lawrence was founded less than 20 years ago. | |
| 4 | Lawrence was founded more than 50 years ago. | Lawrence was founded before 1900. | |
| 5 |
Either Kansas is in the U.S. or France is. France is not in the U.S. |
Kansas is in the U.S. | |
| 6 |
Either Kansas is in the U.S. or France is. Kansas is not in the U.S. |
France is in the U.S. | |
| 7 |
Denver is in Colorado. Las Vegas is in Nevada. |
Denver is in Colorado and Las Vegas is in Nevada and Los Angeles is in California. | |
| 8 | Denver is in Colorado and Las Vegas is in Nevada and Los Angeles is in California. | Denver is in Colorado. | |
| 9 | The most common argument in support of the view known as cultural relativism is invalid. | Cultural relativism is not true. | |
| 10 |
If cultural relativism were true, then 2 plus 2 would equal 5. 2 plus 2 does not equal 5. |
Cultural relativism is not true. |