It would be "psychology" and "philosophy" and "psychology" that have Greek origins, although it should be noted that several sub-disciplines of these forms have other origins.
The answer is number one, proof.
True, the disease spread to the Aztecs greatly diminished their population, making them much easier to conquer.
The answer is State governments
1. The blast might launch a cataclysmic reaction in the upper atmosphere leading to world destruction
2. Consequences of radioactive fallout on civilian populations surrounding the test site.
3. The test would be an outright failure.